CRAN Package Check Results for Package boolean3

Last updated on 2018-06-17 19:49:30 CEST.

Flavor Version Tinstall Tcheck Ttotal Status Flags
r-devel-linux-x86_64-debian-clang 3.1.6 2.96 40.95 43.91 ERROR
r-devel-linux-x86_64-debian-gcc 3.1.6 1.60 31.46 33.06 ERROR
r-devel-linux-x86_64-fedora-clang 3.1.6 50.15 NOTE
r-devel-linux-x86_64-fedora-gcc 3.1.6 46.23 NOTE
r-devel-windows-ix86+x86_64 3.1.6 7.00 56.00 63.00 NOTE
r-patched-linux-x86_64 3.1.6 2.97 37.73 40.70 ERROR
r-patched-solaris-x86 3.1.6 70.40 NOTE
r-release-linux-x86_64 3.1.6 1.88 37.31 39.19 ERROR
r-release-windows-ix86+x86_64 3.1.6 7.00 60.00 67.00 NOTE
r-release-osx-x86_64 3.1.6 NOTE
r-oldrel-windows-ix86+x86_64 3.1.6 5.00 89.00 94.00 NOTE
r-oldrel-osx-x86_64 3.1.6 NOTE

Check Details

Version: 3.1.6
Check: S3 generic/method consistency
Result: NOTE
    Found the following apparent S3 methods exported but not registered:
     coef.boolean logLik.boolean model.matrix.boolean nobs.boolean
     plot.boolprob plot.boolprof predict.boolean print.boolboot
     print.boolean print.boolprob print.boolprof print.boolsum
     summary.boolboot summary.boolean
    See section ‘Registering S3 methods’ in the ‘Writing R Extensions’
    manual.
Flavors: r-devel-linux-x86_64-debian-clang, r-devel-linux-x86_64-debian-gcc, r-devel-linux-x86_64-fedora-clang, r-devel-linux-x86_64-fedora-gcc, r-patched-linux-x86_64, r-patched-solaris-x86, r-release-linux-x86_64

Version: 3.1.6
Check: R code for possible problems
Result: NOTE
    print.boolprob: no visible global function definition for ‘plot’
    print.boolprof: no visible global function definition for ‘plot’
    start_msg: no visible global function definition for
     ‘packageDescription’
    Undefined global functions or variables:
     packageDescription plot
    Consider adding
     importFrom("graphics", "plot")
     importFrom("utils", "packageDescription")
    to your NAMESPACE file.
Flavors: r-devel-linux-x86_64-debian-clang, r-devel-linux-x86_64-debian-gcc, r-devel-linux-x86_64-fedora-clang, r-devel-linux-x86_64-fedora-gcc, r-devel-windows-ix86+x86_64, r-patched-linux-x86_64, r-patched-solaris-x86, r-release-linux-x86_64, r-release-windows-ix86+x86_64, r-release-osx-x86_64, r-oldrel-windows-ix86+x86_64, r-oldrel-osx-x86_64

Version: 3.1.6
Check: examples
Result: ERROR
    Running examples in ‘boolean3-Ex.R’ failed
    The error most likely occurred in:
    
    > base::assign(".ptime", proc.time(), pos = "CheckExEnv")
    > ### Name: boolean3-package
    > ### Title: Modeling Causal Complexity
    > ### Aliases: boolean3 boolean3-package
    > ### Keywords: package
    >
    > ### ** Examples
    >
    > ## Generate some fake data
    > require(mvtnorm)
    Loading required package: mvtnorm
    > set.seed(12345)
    > N <- 2000
    > Df <- cbind(1, rmvnorm(N, mean=rep(0, 5)))
    >
    > ## Set coefficients
    > beta.a <- c(-2.00, 0.33, 0.66, 1.00)
    > beta.b <- c(0.00, 1.50, -0.25)
    >
    > ## Generate path probabilities following a normal model.
    > y.a <- as.vector(pnorm(tcrossprod(beta.a, Df[, 1:4])))
    > y.b <- as.vector(pnorm(tcrossprod(beta.b, Df[, c(1, 5, 6)])))
    >
    > ## AND and OR-model
    > or <- function(x, y) { x + y - x * y }
    > and <- function(x, y) { x * y }
    > y.star.OR <- or(y.a, y.b)
    > y.star.AND <- and(y.a, y.b)
    >
    > ## Observed responses
    > y.OR <- rbinom(N, 1, y.star.OR)
    > y.AND <- rbinom(N, 1, y.star.AND)
    >
    > ## Set up data.frame for estimation
    > Df <- cbind(1, Df)
    > Df <- as.data.frame(Df)
    > Df[,1] <- y.OR
    > Df[,2] <- y.AND
    > names(Df) <- c("y.OR", "y.AND", "x1", "x2", "x3", "x4", "x5")
    >
    > ## Before estimating, boolean models need to be specified using the
    > ## boolprep function.
    >
    > ## OR model, specified to use a probit link for each causal path. This
    > ## matches the data generating process above.
    > mod.OR <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit")))
    >
    > ## IF you really want to, it's also possible to specify a different
    > ## link function for each causal path. These should be in the same
    > ## order as specified in the model formula.
    > mod.OR2 <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit"),
    + binomial("logit")))
    >
    > ## Fit the prepared model using the nlminb optimizer (the default).
    > (fit.OR <- boolean(mod.OR, method="nlminb", control=list(trace=1)))
    fn is fn
    Looking for method = nlminb
    Function has 7 arguments
    Analytic gradient not made available.
    Analytic Hessian not made available.
    Scale check -- log parameter ratio= 2.069957 log bounds ratio= NA
    Method: nlminb
     0: 2035.0322: 0.555932 0.00473222 0.0518577 0.0496661 0.555932 0.314324 -0.0401190
     1: 1125.8726: -0.128002 0.0388608 0.148522 0.127276 -0.0324267 0.721923 -0.0984183
     2: 842.16854: -0.894107 0.0450576 0.220895 0.294603 0.0566570 1.33118 -0.124427
     3: 801.45277: -1.16971 0.0904748 0.304796 0.364513 -0.181651 1.54390 -0.197683
     4: 793.97921: -1.20286 0.147914 0.450047 0.558015 0.0953275 1.78334 -0.178614
     5: 780.71673: -1.44471 0.189016 0.538420 0.765386 -0.198236 1.79638 -0.181454
     6: 775.40425: -1.51478 0.180762 0.546683 0.747108 -0.0165510 1.79489 -0.229489
     7: 774.57448: -1.57276 0.182887 0.545728 0.743597 -0.0714210 1.78130 -0.190647
     8: 773.65776: -1.60590 0.198898 0.574778 0.783028 -0.0163173 1.74617 -0.198394
     9: 773.45521: -1.67407 0.202747 0.586465 0.808583 -0.0539769 1.72187 -0.223385
     10: 773.01515: -1.71678 0.200876 0.598546 0.838030 -0.0208753 1.72345 -0.159004
     11: 772.50230: -1.72318 0.206564 0.606078 0.846533 -0.0158345 1.72432 -0.200933
     12: 772.18615: -1.78954 0.231404 0.641645 0.890729 -0.0149774 1.74469 -0.180530
     13: 771.89407: -1.85032 0.220442 0.644318 0.940353 -0.00765249 1.69664 -0.201119
     14: 771.82963: -1.85752 0.227057 0.652232 0.940176 0.00321924 1.70914 -0.192294
     15: 771.80804: -1.86904 0.234336 0.658832 0.936483 -0.00922186 1.71128 -0.202710
     16: 771.77147: -1.87385 0.245677 0.671660 0.936852 0.000202047 1.70546 -0.194253
     17: 771.73610: -1.88837 0.239128 0.666675 0.949032 -0.000940174 1.71251 -0.199984
     18: 771.73251: -1.89568 0.239325 0.673717 0.966182 0.00207717 1.70995 -0.190095
     19: 771.69796: -1.91188 0.246202 0.678638 0.968550 0.000991727 1.69952 -0.197926
     20: 771.68769: -1.91635 0.246152 0.679388 0.968983 0.00465926 1.70560 -0.195221
     21: 771.68585: -1.92140 0.245884 0.681944 0.970632 -0.000298807 1.70718 -0.199282
     22: 771.67581: -1.92565 0.249540 0.682440 0.975775 0.00323946 1.70555 -0.197016
     23: 771.67138: -1.93310 0.248427 0.685083 0.977666 0.00545687 1.70803 -0.197440
     24: 771.66787: -1.93884 0.251036 0.686583 0.982438 0.00259472 1.70576 -0.196931
     25: 771.66515: -1.94282 0.249059 0.691551 0.986158 0.00554980 1.70248 -0.197777
     26: 771.66252: -1.94927 0.253205 0.688497 0.988277 0.00637468 1.70450 -0.196717
     27: 771.66179: -1.94943 0.252731 0.690801 0.989858 0.00511422 1.70388 -0.197930
     28: 771.66159: -1.95076 0.251950 0.692556 0.990551 0.00589815 1.70452 -0.195798
     29: 771.66071: -1.95311 0.252596 0.692511 0.991245 0.00686234 1.70299 -0.197147
     30: 771.66048: -1.95352 0.252645 0.692540 0.991439 0.00603419 1.70315 -0.197013
     31: 771.66035: -1.95391 0.252809 0.692812 0.992092 0.00645048 1.70345 -0.197051
     32: 771.66010: -1.95539 0.253106 0.692932 0.993201 0.00597275 1.70362 -0.197059
     33: 771.65989: -1.95682 0.253095 0.693679 0.993688 0.00656203 1.70289 -0.196863
     34: 771.65976: -1.95822 0.253576 0.694616 0.994380 0.00638257 1.70290 -0.197323
     35: 771.65960: -1.95958 0.253686 0.694374 0.995708 0.00653884 1.70291 -0.197074
     36: 771.65960: -1.96080 0.254736 0.695269 0.996154 0.00683515 1.70302 -0.196825
     37: 771.65953: -1.96146 0.254391 0.695463 0.996637 0.00680183 1.70275 -0.197052
     38: 771.65952: -1.96215 0.254142 0.695673 0.997170 0.00692894 1.70255 -0.196925
     39: 771.65951: -1.96220 0.254146 0.695537 0.997255 0.00692672 1.70258 -0.197040
     40: 771.65951: -1.96221 0.254149 0.695523 0.997250 0.00689011 1.70258 -0.197017
     41: 771.65951: -1.96219 0.254155 0.695486 0.997245 0.00689580 1.70257 -0.197015
     42: 771.65951: -1.96217 0.254157 0.695483 0.997240 0.00689316 1.70257 -0.197019
    Post processing for method nlminb
    Successful convergence!
    Compute Hessian approximation at finish of nlminb
    Compute gradient approximation at finish of nlminb
    Save results from method nlminb
    $par
     (Intercept) x1 x2 x3 (Intercept) x4
    -1.962174116 0.254157295 0.695482511 0.997240458 0.006893159 1.702572353
     x5
    -0.197019270
    
    $message
    [1] "relative convergence (4)"
    
    $convcode
    [1] 0
    
    $value
    [1] 771.6595
    
    $fevals
    function
     54
    
    $gevals
    gradient
     408
    
    $nitns
    [1] 42
    
    $kkt1
    [1] TRUE
    
    $kkt2
    [1] TRUE
    
    $xtimes
    user.self
     0.66
    
    Assemble the answers
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
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    1934 1 -0.3853713966 1.3796001651 1.1869335893
    1935 1 -1.4195978836 1.2599687055 -1.3105230831
    1936 1 0.7039956863 -0.6795137634 0.6770159321
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    1963 1 -0.6329544933 -0.2882965936 0.7329916675
    1964 1 0.1950564274 -0.7055807638 -0.7593875868
    1965 1 0.2109990463 0.0089251896 0.4440323081
    1966 1 1.2020194725 -0.1029683324 -0.4785995166
    1967 1 0.6895643101 0.4547732293 -0.9987644000
    1968 1 -1.0057813251 0.9495974873 0.6323687679
    1969 1 -0.6413560720 -1.4102040134 2.7601132507
    1970 1 0.6598122999 0.2166189457 -0.1716725704
    1971 1 0.0283249962 0.3942288817 -1.2122887232
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    1975 1 -1.5482114713 1.0883394989 -0.6556071528
    1976 1 -0.6492952448 0.0507962372 1.2430884596
    1977 1 0.0197237908 -2.2996144938 0.5124020913
    1978 1 -1.7023189966 1.0456737408 -0.3299418802
    1979 1 -0.3525757419 1.6187237961 -0.1839015100
    1980 1 1.0586230321 0.9239177757 -0.7816997137
    1981 1 1.3103175067 -1.6672633386 -0.6409371167
    1982 1 -0.7843924977 -0.3692494519 0.6497365708
    1983 1 0.8975973910 -0.3181186536 0.9483856692
    1984 1 -1.9197903881 -0.0991959257 0.1585830296
    1985 1 -0.8254812411 -1.0650191672 0.5799721100
    1986 1 -1.1192418252 -0.5114190154 -0.4053928319
    1987 1 0.0065974682 0.8741168281 -0.8550534810
    1988 1 0.6605175997 -1.0373908552 0.1053078120
    1989 1 -0.3471181915 2.2258106134 0.3856425919
    1990 1 0.5416183299 1.9389756355 -1.2372749451
    1991 1 1.3226498995 -0.6862730851 -0.5742137421
    1992 1 1.1995929480 -1.7004837358 1.7310396089
    1993 1 -0.6077349618 -1.2032523514 -0.7536464872
    1994 1 1.3323007898 1.7472395072 0.0155082136
    1995 1 -0.4749870115 -1.8379310769 0.5495834553
    1996 1 -0.7657635941 -1.1514981733 -0.1342295100
    1997 1 -0.2244958017 -0.8118043244 -0.8895302387
    1998 1 -1.0115694345 -2.1610311431 -0.0747329783
    1999 1 -1.4585148377 1.1140849045 0.1244447918
    2000 1 1.3895910200 1.5576396694 0.8287567177
    attr(,"assign")
    [1] 0 1 2 3
    
    $frame$b
     (Intercept) x4 x5
    1 1 -4.534972e-01 0.6058874558
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    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x1495300>
    <environment: 0x4c9fa38>
    
    $method
    [1] "nlminb"
    
    $model.fit
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.66
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Multiple optimizers can be specified in a single call to boolean.
    > ## Here we fit with the nlm and nlminb optimizers.
    > (fit1.OR <- boolean(mod.OR, method=c("nlm", "nlminb")))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
    204 1 0.4537064565 0.2748803304 -1.2717912248
    205 1 -0.0258765473 -1.7359637800 -0.9451758837
    206 1 0.2073716978 0.4005162697 -0.0514096699
    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
    211 1 -0.7902889510 -1.0940681260 0.4636973671
    212 1 0.3727203973 -0.6314187353 -0.3451947249
    213 1 -0.8410156594 -0.5255775617 0.9646760715
    214 1 -1.0594503837 -0.2031988588 -0.2605225022
    215 1 2.4570741656 -1.4214051662 -1.1706711902
    216 1 -0.0336040265 1.0677884112 -1.0843643358
    217 1 -0.8257088759 0.4902205365 -0.9265318611
    218 1 -0.3655132661 -0.0063319208 -2.3805307769
    219 1 -0.4840289041 -0.9261609666 -0.2859256147
    220 1 1.2062978792 -0.0248296420 -0.9045873519
    221 1 1.1480913567 0.4550137293 2.0219463843
    222 1 1.3517073357 0.4395145976 1.5716217015
    223 1 -0.5552325516 -1.3586049308 -0.0826571245
    224 1 0.9666831878 -0.4204558998 0.7782147447
    225 1 -1.5574704016 -0.5484079137 0.2172601824
    226 1 1.2681306532 0.7604015245 0.6591804202
    227 1 0.4166108668 0.0280533938 -2.3660085727
    228 1 0.3688921225 -1.4404393794 0.9483422184
    229 1 -2.1995596199 0.1022425497 -1.7009442521
    230 1 1.5332470445 -0.0071040852 0.0644370512
    231 1 -0.1238355180 -0.6022837949 -1.0961395462
    232 1 0.5308099200 0.9064108063 0.0467531289
    233 1 1.0907322204 -0.1854982253 -0.4714215288
    234 1 0.7928387976 1.0516802051 0.4675909925
    235 1 0.6878086900 -0.5405656766 0.6929025621
    236 1 -0.1401836766 0.3671502805 0.0558580626
    237 1 -1.5334578256 0.0704556078 0.6246541747
    238 1 0.1222044577 -1.8035574195 1.0014954010
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
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    $frame$b
     (Intercept) x4 x5
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    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x1495300>
    <environment: 0x4c9fa38>
    
    $method
    [1] "nlm" "nlminb"
    
    $model.fit
    $nlm
    $nlm$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
     x5
    nlm -0.197018
    
    $nlm$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.456997 31.281691 63.6547636 100.2494259 95.25477 -21.8660312
    [2,] 31.281691 117.943969 1.8807256 19.3256601 10.65402 -5.9115476
    [3,] 63.654764 1.880726 134.6344701 31.1731459 39.15750 -0.5340373
    [4,] 100.249426 19.325660 31.1731459 145.7169853 55.20325 -7.2822927
    [5,] 95.254774 10.654019 39.1575019 55.2032487 573.49187 37.1083998
    [6,] -21.866031 -5.911548 -0.5340373 -7.2822927 37.10840 171.9631686
    [7,] -2.522996 -7.597149 -2.7947502 0.8884992 10.58570 38.7618385
     [,7]
    [1,] -2.5229956
    [2,] -7.5971495
    [3,] -2.7947502
    [4,] 0.8884992
    [5,] 10.5857040
    [6,] 38.7618385
    [7,] 559.8836759
    
    $nlm$value
    [1] -771.6595
    
    $nlm$iterations
    [1] 24
    
    $nlm$conv
    [1] 0
    
    $nlm$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.297
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.660
    
    
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.297
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.660
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Re-fit, with BFGS and a higher maximum number of iterations. All
    > ## of the options that go along with nlm(), optim(), and genoud() should
    > ## be transparently passable through boolean.
    > (fit2.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 500)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
    204 1 0.4537064565 0.2748803304 -1.2717912248
    205 1 -0.0258765473 -1.7359637800 -0.9451758837
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    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
    211 1 -0.7902889510 -1.0940681260 0.4636973671
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    213 1 -0.8410156594 -0.5255775617 0.9646760715
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    216 1 -0.0336040265 1.0677884112 -1.0843643358
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    222 1 1.3517073357 0.4395145976 1.5716217015
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    227 1 0.4166108668 0.0280533938 -2.3660085727
    228 1 0.3688921225 -1.4404393794 0.9483422184
    229 1 -2.1995596199 0.1022425497 -1.7009442521
    230 1 1.5332470445 -0.0071040852 0.0644370512
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    237 1 -1.5334578256 0.0704556078 0.6246541747
    238 1 0.1222044577 -1.8035574195 1.0014954010
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    243 1 0.3889840140 0.4119050900 0.7099134713
    244 1 -0.6460025588 -0.9686429875 -1.0456947658
    245 1 -1.6098043453 0.9729914455 1.0488830422
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    248 1 0.8931587269 -0.2376845054 -0.8837803602
    249 1 0.2827294702 -0.1589795836 -0.1410435775
    250 1 1.1819020949 -0.8463825945 -0.2310962925
    251 1 0.8915386354 0.7086969808 1.3654847983
    252 1 1.3509045262 -0.3647844293 -0.8209659118
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
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    $frame$b
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    1968 1 -1.017870e+00 1.1922587748
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    1972 1 -7.069767e-01 1.5472486383
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    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x1495300>
    <environment: 0x4c9fa38>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.415456 31.274778 63.6456959 100.237354 95.23245 -21.8675831
    [2,] 31.274778 117.904100 1.8828406 19.327963 10.65650 -5.9135497
    [3,] 63.645696 1.882841 134.5975938 31.183303 39.15290 -0.5354693
    [4,] 100.237354 19.327963 31.1833027 145.693121 55.20376 -7.2869532
    [5,] 95.232446 10.656496 39.1529009 55.203757 573.52298 37.0939880
    [6,] -21.867583 -5.913550 -0.5354693 -7.286953 37.09399 171.9705056
    [7,] -2.524958 -7.593851 -2.7941225 0.889493 10.58814 38.7623054
     [,7]
    [1,] -2.524958
    [2,] -7.593851
    [3,] -2.794123
    [4,] 0.889493
    [5,] 10.588142
    [6,] 38.762305
    [7,] 559.921821
    
    $BFGS$value
    [1] -771.6595
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 0
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
     value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS 771.6595 58 18 NA 0 TRUE TRUE 0.485
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Induce a convergence warning message.
    > (fit3.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 5)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
    204 1 0.4537064565 0.2748803304 -1.2717912248
    205 1 -0.0258765473 -1.7359637800 -0.9451758837
    206 1 0.2073716978 0.4005162697 -0.0514096699
    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
    211 1 -0.7902889510 -1.0940681260 0.4636973671
    212 1 0.3727203973 -0.6314187353 -0.3451947249
    213 1 -0.8410156594 -0.5255775617 0.9646760715
    214 1 -1.0594503837 -0.2031988588 -0.2605225022
    215 1 2.4570741656 -1.4214051662 -1.1706711902
    216 1 -0.0336040265 1.0677884112 -1.0843643358
    217 1 -0.8257088759 0.4902205365 -0.9265318611
    218 1 -0.3655132661 -0.0063319208 -2.3805307769
    219 1 -0.4840289041 -0.9261609666 -0.2859256147
    220 1 1.2062978792 -0.0248296420 -0.9045873519
    221 1 1.1480913567 0.4550137293 2.0219463843
    222 1 1.3517073357 0.4395145976 1.5716217015
    223 1 -0.5552325516 -1.3586049308 -0.0826571245
    224 1 0.9666831878 -0.4204558998 0.7782147447
    225 1 -1.5574704016 -0.5484079137 0.2172601824
    226 1 1.2681306532 0.7604015245 0.6591804202
    227 1 0.4166108668 0.0280533938 -2.3660085727
    228 1 0.3688921225 -1.4404393794 0.9483422184
    229 1 -2.1995596199 0.1022425497 -1.7009442521
    230 1 1.5332470445 -0.0071040852 0.0644370512
    231 1 -0.1238355180 -0.6022837949 -1.0961395462
    232 1 0.5308099200 0.9064108063 0.0467531289
    233 1 1.0907322204 -0.1854982253 -0.4714215288
    234 1 0.7928387976 1.0516802051 0.4675909925
    235 1 0.6878086900 -0.5405656766 0.6929025621
    236 1 -0.1401836766 0.3671502805 0.0558580626
    237 1 -1.5334578256 0.0704556078 0.6246541747
    238 1 0.1222044577 -1.8035574195 1.0014954010
    239 1 -1.1541849737 0.1958793830 0.4890331013
    240 1 0.1064994880 -1.1769668669 0.9344294271
    241 1 -0.2678817079 0.9372880131 0.0340235785
    242 1 0.8274059318 0.3480581875 -0.3812028440
    243 1 0.3889840140 0.4119050900 0.7099134713
    244 1 -0.6460025588 -0.9686429875 -1.0456947658
    245 1 -1.6098043453 0.9729914455 1.0488830422
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    247 1 -1.0352630405 1.8948490177 0.0567930594
    248 1 0.8931587269 -0.2376845054 -0.8837803602
    249 1 0.2827294702 -0.1589795836 -0.1410435775
    250 1 1.1819020949 -0.8463825945 -0.2310962925
    251 1 0.8915386354 0.7086969808 1.3654847983
    252 1 1.3509045262 -0.3647844293 -0.8209659118
    253 1 0.2092830422 0.5836893770 -0.6860821820
    254 1 -0.4582504703 0.8673762299 0.7070500063
    255 1 -2.3086692912 -0.7641268585 -0.2572153518
    256 1 -1.7905618557 -1.0797855247 0.7144488075
    257 1 0.2027158672 0.2812113590 1.0320580081
    258 1 0.4114013559 -1.2792416796 -0.4265018513
    259 1 -0.9695539662 1.6506787878 0.6659569235
    260 1 1.4283822576 -0.9042526441 -2.0936936955
    261 1 -1.6598936915 -0.2763602365 -0.8284337218
    262 1 1.2438105569 -0.1720214221 -2.5464745985
    263 1 0.0203074667 -2.6513977459 1.1178117122
    264 1 0.8498558315 0.5433370629 0.0560354534
    265 1 -0.6397186125 0.0867654667 0.4668111790
    266 1 0.2802098942 -1.1762675707 -1.2942335681
    267 1 0.0590417004 0.2800531289 -0.8365912123
    268 1 -2.0325520145 1.3428965254 -0.0996047055
    269 1 -0.1370103486 -0.0543016245 -0.6447156798
    270 1 -0.4722324297 -2.1376753493 0.0973270735
    271 1 -0.1156642946 -1.2989704684 -1.4474064932
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    273 1 -0.2696580404 -3.3346753635 1.0512737624
    274 1 -1.9016563142 -0.4426763569 1.2372646859
    275 1 -1.3583535271 0.2150112321 0.4490791887
    276 1 0.1908543369 -0.5591994025 -1.1845020970
    277 1 -0.6875893352 -0.3494503086 -0.1476561060
    278 1 0.5586290470 -0.2354396756 0.2157979615
    279 1 -0.7333041452 -0.0018862886 0.7003927539
    280 1 -0.3740945906 -0.7436489606 -0.6747082874
    281 1 -0.7645573942 0.9791959511 1.1738326180
    282 1 0.0269493670 0.7112603025 -0.0914523765
    283 1 1.1398714351 -0.4594912377 -0.9206651908
    284 1 -1.2569610032 1.5529932886 3.2890222111
    285 1 0.0207150656 1.2220898846 -0.5771036334
    286 1 -1.2116625797 1.1162965084 -0.8180119753
    287 1 0.9512591791 -0.8624012971 0.6122581166
    288 1 -2.7714928011 -0.0986434264 -0.8625211837
    289 1 0.7548680735 0.2102209214 -0.6535798353
    290 1 -0.1920236389 0.1327294111 0.2444787596
    291 1 1.3369004187 1.8359317062 -0.7039347700
    292 1 0.6785787869 -1.3687065452 1.1079312649
    293 1 0.5500044821 -0.4973980313 0.2909139088
    294 1 1.6662309239 0.2805139064 1.3325951048
    295 1 -1.1964987978 -1.0292934931 -2.9699789842
    296 1 0.4174798748 -0.0779511093 0.6799457917
    297 1 1.8328688922 -1.2097720762 0.3774019022
    298 1 -0.0962640211 -0.5000693786 1.1200971784
    299 1 -0.6285881850 -0.5044434496 -0.0859780512
    300 1 -0.9865709992 1.1733305739 0.3192397390
    301 1 -0.1746225558 -0.6706166581 0.5074257502
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    $frame$b
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    1685 1 -2.237035e+00 1.4283449310
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    1786 1 -1.183550e+00 0.1897786782
    1787 1 5.695106e-01 0.6148896503
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    1789 1 1.586373e+00 -1.6345681822
    1790 1 -7.917502e-01 -0.6206343527
    1791 1 -6.595907e-01 1.7160863283
    1792 1 -7.074627e-01 -1.0769070077
    1793 1 2.833266e-01 0.8239320697
    1794 1 5.278889e-01 0.7641110487
    1795 1 1.309652e+00 0.4882788297
    1796 1 -7.804176e-01 -0.9556785998
    1797 1 3.465911e-01 -1.7229538653
    1798 1 -6.167691e-01 0.8944249848
    1799 1 -1.625414e+00 -1.3436603900
    1800 1 -1.143037e+00 1.9002917475
    1801 1 2.054702e-01 1.0029925229
    1802 1 5.353407e-01 -0.7690727847
    1803 1 1.015901e+00 0.1155251947
    1804 1 -1.191417e+00 -0.1543038812
    1805 1 -1.326809e+00 -0.2756281241
    1806 1 1.075503e+00 0.8886335444
    1807 1 -1.619707e+00 1.7773332474
    1808 1 -1.695149e-01 -1.4619763104
    1809 1 -6.982581e-01 1.1239117771
    1810 1 -6.241596e-01 1.3249132144
    1811 1 -4.093872e-01 -0.9922053338
    1812 1 -7.187791e-01 -1.9239194595
    1813 1 -6.310097e-02 1.5328395713
    1814 1 1.334947e+00 0.5161138958
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    1819 1 -7.741003e-01 -0.0258881988
    1820 1 3.700284e-01 0.0806034912
    1821 1 -2.542174e-01 -0.7069376983
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    1823 1 1.180620e+00 1.5151556945
    1824 1 1.582217e+00 0.6093844087
    1825 1 1.704888e+00 0.3980028120
    1826 1 5.648630e-01 -0.0242636963
    1827 1 -4.764913e-01 0.0420294559
    1828 1 6.199924e-01 1.4681257278
    1829 1 -3.674056e-01 -1.5581161430
    1830 1 -5.291112e-01 0.7345380436
    1831 1 -5.214788e-01 0.5091522708
    1832 1 -8.675957e-01 -1.2417965638
    1833 1 9.280934e-01 -0.6573551916
    1834 1 -3.513386e-01 1.9991006433
    1835 1 8.122890e-01 -1.2409382629
    1836 1 5.343666e-01 0.7339604213
    1837 1 8.233797e-02 0.4251411363
    1838 1 2.119009e-01 -0.8518324261
    1839 1 9.254859e-02 1.8774709870
    1840 1 -6.365326e-01 1.5379707312
    1841 1 -9.475213e-01 0.2387941811
    1842 1 1.362999e+00 0.4398575877
    1843 1 -1.493494e+00 -0.1744773007
    1844 1 1.253609e-02 -0.1416450733
    1845 1 1.972215e-01 -1.1871818361
    1846 1 1.564884e+00 0.9718870819
    1847 1 -5.352198e-01 2.4116529941
    1848 1 1.276402e-01 0.4664958261
    1849 1 -2.546610e-01 0.8671421158
    1850 1 -1.295310e+00 1.9498100600
    1851 1 8.712637e-01 -0.5059742897
    1852 1 1.042755e+00 -0.2848301306
    1853 1 -6.548728e-01 -1.5371535657
    1854 1 4.061649e-01 -0.4419641039
    1855 1 -3.701574e-01 0.3595010880
    1856 1 -8.494660e-01 0.2668094484
    1857 1 -4.235023e-01 0.4601201698
    1858 1 3.118541e-01 2.5699594034
    1859 1 3.858923e-01 1.2908077867
    1860 1 5.128240e-01 0.7792068180
    1861 1 -4.541796e-01 0.8808773380
    1862 1 2.345021e-01 -0.4485462168
    1863 1 1.720489e-01 -2.0859594727
    1864 1 -5.309989e-01 -0.3731444918
    1865 1 -7.640969e-01 1.4966359941
    1866 1 1.065466e-02 -0.5176479737
    1867 1 -8.209414e-02 -1.1825741286
    1868 1 1.269886e+00 -1.3231069934
    1869 1 6.340240e-01 -1.2157261114
    1870 1 3.964723e-01 -1.9724188031
    1871 1 2.129687e-01 -0.2249344209
    1872 1 -2.274793e-02 0.4775947994
    1873 1 -1.955873e-01 0.1809316898
    1874 1 -2.882144e-01 -1.6730899755
    1875 1 -8.519617e-02 -0.6308489260
    1876 1 -7.614977e-01 -0.4360083612
    1877 1 -3.254867e-01 0.2090606673
    1878 1 -2.211325e-01 0.2929710562
    1879 1 -1.710826e+00 2.3779783778
    1880 1 -3.713471e-01 -1.4813535976
    1881 1 -1.191724e+00 -2.4675259417
    1882 1 5.749024e-01 -0.5813851051
    1883 1 -8.643900e-01 -0.2807471520
    1884 1 3.922759e-01 -0.3601650438
    1885 1 1.321946e+00 -0.2270587191
    1886 1 1.275346e+00 0.0060096421
    1887 1 -1.461178e+00 1.4219869387
    1888 1 4.263679e-01 -0.6560333749
    1889 1 1.069635e-01 0.7154114440
    1890 1 3.954492e-01 -1.2810537354
    1891 1 -5.094093e-01 0.2116882009
    1892 1 6.522543e-01 0.4138620126
    1893 1 6.110963e-01 -0.7819688049
    1894 1 8.737319e-01 2.1829251895
    1895 1 -1.470085e+00 0.5001709711
    1896 1 -1.193908e-01 0.7720357885
    1897 1 1.441880e+00 2.6635069516
    1898 1 9.807212e-01 -0.1918281006
    1899 1 -1.549435e-01 -0.0477416512
    1900 1 -6.565341e-01 -0.7303512121
    1901 1 -2.218050e+00 -0.1248124005
    1902 1 1.565099e+00 -1.2543759396
    1903 1 -6.645336e-01 -0.0018166585
    1904 1 -1.106672e+00 0.0184418854
    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x1495300>
    <environment: 0x4c9fa38>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5
    BFGS -0.2085441
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 152.724870 30.350731 78.5240869 95.7768127 127.11743 -10.971630
    [2,] 30.350731 156.269234 -1.5652812 14.0418127 10.66959 -4.423217
    [3,] 78.524087 -1.565281 172.8665894 21.9240707 48.76609 3.315847
    [4,] 95.776813 14.041813 21.9240707 158.7687197 61.88226 -3.110111
    [5,] 127.117432 10.669594 48.7660940 61.8822613 633.64449 49.401769
    [6,] -10.971630 -4.423217 3.3158474 -3.1101106 49.40177 268.091052
    [7,] 4.493651 -6.401603 -0.9885231 0.5891863 3.17210 51.520332
     [,7]
    [1,] 4.4936515
    [2,] -6.4016028
    [3,] -0.9885231
    [4,] 0.5891863
    [5,] 3.1720999
    [6,] 51.5203315
    [7,] 611.6443925
    
    $BFGS$value
    [1] -793.5796
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 1
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS -0.2085441 793.5796 19 5 NA 1 FALSE TRUE 0.172
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Not run:
    > ##D ## Now estimate model with genoud, a genetic optimizer. This has the
    > ##D ## capability of using multiple processors via parallel.
    > ##D (fit6.OR <- boolean(mod.OR, method="genoud",
    > ##D cluster=c("localhost", "localhost"),
    > ##D print.level=2))
    > ##D
    > ##D ## The default SANN optimizer is also available.
    > ##D (fit7.OR <- boolean(mod.OR, method="SANN"))
    > ## End(Not run)
    >
    > ## The fit is stored as "model.fit", within the boolean object.
    > str(fit.OR$model.fit)
    List of 1
     $ nlminb:List of 6
     ..$ par : num [1, 1:7] -1.96217 0.25416 0.69548 0.99724 0.00689 ...
     .. ..- attr(*, "dimnames")=List of 2
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : chr [1:7] "X.Intercept." "x1" "x2" "x3" ...
     ..$ nhatend : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     ..$ value : num -772
     ..$ iterations: num 42
     ..$ conv : num 0
     ..$ detail :Classes ‘optimx’ and 'data.frame': 1 obs. of 15 variables:
     .. ..$ X.Intercept. : num -1.96
     .. ..$ x1 : num 0.254
     .. ..$ x2 : num 0.695
     .. ..$ x3 : num 0.997
     .. ..$ X.Intercept..1: num 0.00689
     .. ..$ x4 : num 1.7
     .. ..$ x5 : num -0.197
     .. ..$ value : num 772
     .. ..$ fevals : num 54
     .. ..$ gevals : num 408
     .. ..$ niter : num 42
     .. ..$ convcode : num 0
     .. ..$ kkt1 : logi TRUE
     .. ..$ kkt2 : logi TRUE
     .. ..$ xtimes : num 0.66
     .. ..- attr(*, "details")=List of 5
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : num [1:7] 1.23e-05 1.32e-04 -4.30e-05 -1.06e-04 -4.30e-04 ...
     .. .. ..$ : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     .. .. ..$ : num [1:7] 617 562 246 158 121 ...
     .. .. ..$ : chr "none"
     .. .. ..- attr(*, "dim")= int [1:2] 1 5
     .. .. ..- attr(*, "dimnames")=List of 2
     .. .. .. ..$ : chr "nlminb"
     .. .. .. ..$ : chr [1:5] "method" "ngatend" "nhatend" "hev" ...
     .. ..- attr(*, "maximize")= logi FALSE
     .. ..- attr(*, "npar")= int 7
     .. ..- attr(*, "follow.on")= logi FALSE
     - attr(*, "class")= chr [1:2] "boolfit" "list"
    >
    > ## Create a summary object, saving and printing it. Then take a look at
    > ## the objects stored in the summary object.
    > (smry <- summary(fit.OR))
     Length Class Mode
    call 6 -none- call
    link 2 -none- list
    model 2 -none- list
    N 1 -none- numeric
    k 1 -none- numeric
    coef.labels 7 -none- character
    coef.idx 2 -none- list
    response 2000 -none- numeric
    frame 2 -none- list
    calc_lik 1 -none- function
    method 1 -none- character
    model.fit 1 boolfit list
    > str(smry)
     'summaryDefault' chr [1:12, 1:3] " 6" " 2" " 2" " 1" " 1" " 7" ...
     - attr(*, "dimnames")=List of 2
     ..$ : chr [1:12] "call" "link" "model" "N" ...
     ..$ : chr [1:3] "Length" "Class" "Mode"
    >
    > ## Extract log-likelihood and coefficient vector.
    > logLik(fit.OR)
    Error in UseMethod("logLik") :
     no applicable method for 'logLik' applied to an object of class "boolean"
    Calls: logLik
    Execution halted
Flavor: r-devel-linux-x86_64-debian-clang

Version: 3.1.6
Check: examples
Result: ERROR
    Running examples in ‘boolean3-Ex.R’ failed
    The error most likely occurred in:
    
    > base::assign(".ptime", proc.time(), pos = "CheckExEnv")
    > ### Name: boolean3-package
    > ### Title: Modeling Causal Complexity
    > ### Aliases: boolean3 boolean3-package
    > ### Keywords: package
    >
    > ### ** Examples
    >
    > ## Generate some fake data
    > require(mvtnorm)
    Loading required package: mvtnorm
    > set.seed(12345)
    > N <- 2000
    > Df <- cbind(1, rmvnorm(N, mean=rep(0, 5)))
    >
    > ## Set coefficients
    > beta.a <- c(-2.00, 0.33, 0.66, 1.00)
    > beta.b <- c(0.00, 1.50, -0.25)
    >
    > ## Generate path probabilities following a normal model.
    > y.a <- as.vector(pnorm(tcrossprod(beta.a, Df[, 1:4])))
    > y.b <- as.vector(pnorm(tcrossprod(beta.b, Df[, c(1, 5, 6)])))
    >
    > ## AND and OR-model
    > or <- function(x, y) { x + y - x * y }
    > and <- function(x, y) { x * y }
    > y.star.OR <- or(y.a, y.b)
    > y.star.AND <- and(y.a, y.b)
    >
    > ## Observed responses
    > y.OR <- rbinom(N, 1, y.star.OR)
    > y.AND <- rbinom(N, 1, y.star.AND)
    >
    > ## Set up data.frame for estimation
    > Df <- cbind(1, Df)
    > Df <- as.data.frame(Df)
    > Df[,1] <- y.OR
    > Df[,2] <- y.AND
    > names(Df) <- c("y.OR", "y.AND", "x1", "x2", "x3", "x4", "x5")
    >
    > ## Before estimating, boolean models need to be specified using the
    > ## boolprep function.
    >
    > ## OR model, specified to use a probit link for each causal path. This
    > ## matches the data generating process above.
    > mod.OR <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit")))
    >
    > ## IF you really want to, it's also possible to specify a different
    > ## link function for each causal path. These should be in the same
    > ## order as specified in the model formula.
    > mod.OR2 <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit"),
    + binomial("logit")))
    >
    > ## Fit the prepared model using the nlminb optimizer (the default).
    > (fit.OR <- boolean(mod.OR, method="nlminb", control=list(trace=1)))
    fn is fn
    Looking for method = nlminb
    Function has 7 arguments
    Analytic gradient not made available.
    Analytic Hessian not made available.
    Scale check -- log parameter ratio= 2.069957 log bounds ratio= NA
    Method: nlminb
     0: 2035.0322: 0.555932 0.00473222 0.0518577 0.0496661 0.555932 0.314324 -0.0401190
     1: 1125.8726: -0.128002 0.0388608 0.148522 0.127276 -0.0324267 0.721923 -0.0984183
     2: 842.16854: -0.894107 0.0450576 0.220895 0.294603 0.0566570 1.33118 -0.124427
     3: 801.45277: -1.16971 0.0904748 0.304796 0.364513 -0.181651 1.54390 -0.197683
     4: 793.97921: -1.20286 0.147914 0.450047 0.558015 0.0953275 1.78334 -0.178614
     5: 780.71673: -1.44471 0.189016 0.538420 0.765386 -0.198236 1.79638 -0.181454
     6: 775.40425: -1.51478 0.180762 0.546683 0.747108 -0.0165510 1.79489 -0.229489
     7: 774.57448: -1.57276 0.182887 0.545728 0.743597 -0.0714210 1.78130 -0.190647
     8: 773.65776: -1.60590 0.198898 0.574778 0.783028 -0.0163173 1.74617 -0.198394
     9: 773.45521: -1.67407 0.202747 0.586465 0.808583 -0.0539769 1.72187 -0.223385
     10: 773.01515: -1.71678 0.200876 0.598546 0.838030 -0.0208753 1.72345 -0.159004
     11: 772.50230: -1.72318 0.206564 0.606078 0.846533 -0.0158345 1.72432 -0.200933
     12: 772.18615: -1.78954 0.231404 0.641645 0.890729 -0.0149774 1.74469 -0.180530
     13: 771.89407: -1.85032 0.220442 0.644318 0.940353 -0.00765249 1.69664 -0.201119
     14: 771.82963: -1.85752 0.227057 0.652232 0.940176 0.00321924 1.70914 -0.192294
     15: 771.80804: -1.86904 0.234336 0.658832 0.936483 -0.00922186 1.71128 -0.202710
     16: 771.77147: -1.87385 0.245677 0.671660 0.936852 0.000202047 1.70546 -0.194253
     17: 771.73610: -1.88837 0.239128 0.666675 0.949032 -0.000940174 1.71251 -0.199984
     18: 771.73251: -1.89568 0.239325 0.673717 0.966182 0.00207717 1.70995 -0.190095
     19: 771.69796: -1.91188 0.246202 0.678638 0.968550 0.000991727 1.69952 -0.197926
     20: 771.68769: -1.91635 0.246152 0.679388 0.968983 0.00465926 1.70560 -0.195221
     21: 771.68585: -1.92140 0.245884 0.681944 0.970632 -0.000298807 1.70718 -0.199282
     22: 771.67581: -1.92565 0.249540 0.682440 0.975775 0.00323946 1.70555 -0.197016
     23: 771.67138: -1.93310 0.248427 0.685083 0.977666 0.00545687 1.70803 -0.197440
     24: 771.66787: -1.93884 0.251036 0.686583 0.982438 0.00259472 1.70576 -0.196931
     25: 771.66515: -1.94282 0.249059 0.691551 0.986158 0.00554980 1.70248 -0.197777
     26: 771.66252: -1.94927 0.253205 0.688497 0.988277 0.00637468 1.70450 -0.196717
     27: 771.66179: -1.94943 0.252731 0.690801 0.989858 0.00511422 1.70388 -0.197930
     28: 771.66159: -1.95076 0.251950 0.692556 0.990551 0.00589815 1.70452 -0.195798
     29: 771.66071: -1.95311 0.252596 0.692511 0.991245 0.00686234 1.70299 -0.197147
     30: 771.66048: -1.95352 0.252645 0.692540 0.991439 0.00603419 1.70315 -0.197013
     31: 771.66035: -1.95391 0.252809 0.692812 0.992092 0.00645048 1.70345 -0.197051
     32: 771.66010: -1.95539 0.253106 0.692932 0.993201 0.00597275 1.70362 -0.197059
     33: 771.65989: -1.95682 0.253095 0.693679 0.993688 0.00656203 1.70289 -0.196863
     34: 771.65976: -1.95822 0.253576 0.694616 0.994380 0.00638257 1.70290 -0.197323
     35: 771.65960: -1.95958 0.253686 0.694374 0.995708 0.00653884 1.70291 -0.197074
     36: 771.65960: -1.96080 0.254736 0.695269 0.996154 0.00683515 1.70302 -0.196825
     37: 771.65953: -1.96146 0.254391 0.695463 0.996637 0.00680183 1.70275 -0.197052
     38: 771.65952: -1.96215 0.254142 0.695673 0.997170 0.00692894 1.70255 -0.196925
     39: 771.65951: -1.96220 0.254146 0.695537 0.997255 0.00692672 1.70258 -0.197040
     40: 771.65951: -1.96221 0.254149 0.695523 0.997250 0.00689011 1.70258 -0.197017
     41: 771.65951: -1.96219 0.254155 0.695486 0.997245 0.00689580 1.70257 -0.197015
     42: 771.65951: -1.96217 0.254157 0.695483 0.997240 0.00689316 1.70257 -0.197019
    Post processing for method nlminb
    Successful convergence!
    Compute Hessian approximation at finish of nlminb
    Compute gradient approximation at finish of nlminb
    Save results from method nlminb
    $par
     (Intercept) x1 x2 x3 (Intercept) x4
    -1.962174116 0.254157295 0.695482511 0.997240458 0.006893159 1.702572353
     x5
    -0.197019270
    
    $message
    [1] "relative convergence (4)"
    
    $convcode
    [1] 0
    
    $value
    [1] 771.6595
    
    $fevals
    function
     54
    
    $gevals
    gradient
     408
    
    $nitns
    [1] 42
    
    $kkt1
    [1] TRUE
    
    $kkt2
    [1] TRUE
    
    $xtimes
    user.self
     0.409
    
    Assemble the answers
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
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    1865 1 1.5350468761 0.6486104893 0.5421492172
    1866 1 -1.6829245469 0.7822955371 1.7030523518
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    1869 1 -1.7916040032 0.5929514493 0.0370134036
    1870 1 0.1786611506 1.1456641122 -2.0413733712
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    1898 1 -2.9284113595 -1.2869811578 -0.1537596105
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    1900 1 -1.6768682360 -0.6776543354 -1.7671639998
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    1908 1 0.9957501059 0.9363907139 0.4726440510
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    1911 1 0.4501668128 -1.3705684156 0.0827908833
    1912 1 0.3520656331 0.6257219623 -1.1020528567
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    1917 1 1.5947207564 -0.1314114994 -0.9549997096
    1918 1 0.5907649911 0.2849089701 -0.2758064238
    1919 1 1.9659901119 1.2080287356 -1.2297222325
    1920 1 1.3412162251 0.0609777132 0.1336125178
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    1922 1 0.3745202431 -0.0297155086 1.2715047973
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    1927 1 0.1708854274 -0.7862981407 1.8810195429
    1928 1 -0.8135978130 -0.9880189792 -1.4933336407
    1929 1 0.3930435833 0.4900673742 0.4337778822
    1930 1 0.1931566457 0.1625611204 1.0941393531
    1931 1 -0.5114982513 0.0984542471 -0.0723225475
    1932 1 -0.3743520543 -0.7157947596 1.2440173123
    1933 1 -1.3457979697 0.3433009158 -0.0585854560
    1934 1 -0.3853713966 1.3796001651 1.1869335893
    1935 1 -1.4195978836 1.2599687055 -1.3105230831
    1936 1 0.7039956863 -0.6795137634 0.6770159321
    1937 1 -0.1121223178 -1.9497878212 0.0008593290
    1938 1 2.0327314861 0.6418029203 0.6909493418
    1939 1 0.2440649268 -0.2966685771 1.0875616030
    1940 1 0.4435618230 -1.1928640070 1.8261073202
    1941 1 -0.6895334179 0.7403769275 -0.7393650420
    1942 1 -0.6162790105 2.0746259168 -1.2496750704
    1943 1 0.6554576102 0.6171519038 0.1362620279
    1944 1 -0.4883053310 0.6620528090 1.5301403424
    1945 1 0.1235600853 0.5858122480 0.6485804369
    1946 1 0.5192955116 0.4907890451 -0.8258546264
    1947 1 0.4966003469 1.3942606258 0.1545432170
    1948 1 -1.1629165574 0.1104768804 -0.3851824506
    1949 1 0.5925546252 -0.0924156029 -0.2319513995
    1950 1 -0.1650763440 0.7417655129 -0.7248579929
    1951 1 0.1201458339 -2.0034020720 0.4480583265
    1952 1 -0.9497496317 -1.5996526894 1.2429639487
    1953 1 -0.9845654176 -1.4250292982 -0.2150958629
    1954 1 -0.6292737028 0.6387053322 0.9098659579
    1955 1 0.2470762624 -1.1659281126 0.2135039256
    1956 1 -0.3019393072 -0.4204044196 1.0524245390
    1957 1 -1.2407744758 0.0762588320 -1.5148585803
    1958 1 1.1767069111 0.0701459822 0.1838083076
    1959 1 0.0303172038 0.0392889244 -0.0946131335
    1960 1 1.5259089112 -0.0163216574 -1.3601259391
    1961 1 -0.9360839282 1.7372083361 0.5945341578
    1962 1 1.1259072020 0.1352367960 0.5915803641
    1963 1 -0.6329544933 -0.2882965936 0.7329916675
    1964 1 0.1950564274 -0.7055807638 -0.7593875868
    1965 1 0.2109990463 0.0089251896 0.4440323081
    1966 1 1.2020194725 -0.1029683324 -0.4785995166
    1967 1 0.6895643101 0.4547732293 -0.9987644000
    1968 1 -1.0057813251 0.9495974873 0.6323687679
    1969 1 -0.6413560720 -1.4102040134 2.7601132507
    1970 1 0.6598122999 0.2166189457 -0.1716725704
    1971 1 0.0283249962 0.3942288817 -1.2122887232
    1972 1 -0.3281763992 -1.9790850800 1.6614485708
    1973 1 2.5818837040 1.6027933223 0.6868586519
    1974 1 0.2903743936 -0.0987880207 0.9278101991
    1975 1 -1.5482114713 1.0883394989 -0.6556071528
    1976 1 -0.6492952448 0.0507962372 1.2430884596
    1977 1 0.0197237908 -2.2996144938 0.5124020913
    1978 1 -1.7023189966 1.0456737408 -0.3299418802
    1979 1 -0.3525757419 1.6187237961 -0.1839015100
    1980 1 1.0586230321 0.9239177757 -0.7816997137
    1981 1 1.3103175067 -1.6672633386 -0.6409371167
    1982 1 -0.7843924977 -0.3692494519 0.6497365708
    1983 1 0.8975973910 -0.3181186536 0.9483856692
    1984 1 -1.9197903881 -0.0991959257 0.1585830296
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    1881 1 -1.191724e+00 -2.4675259417
    1882 1 5.749024e-01 -0.5813851051
    1883 1 -8.643900e-01 -0.2807471520
    1884 1 3.922759e-01 -0.3601650438
    1885 1 1.321946e+00 -0.2270587191
    1886 1 1.275346e+00 0.0060096421
    1887 1 -1.461178e+00 1.4219869387
    1888 1 4.263679e-01 -0.6560333749
    1889 1 1.069635e-01 0.7154114440
    1890 1 3.954492e-01 -1.2810537354
    1891 1 -5.094093e-01 0.2116882009
    1892 1 6.522543e-01 0.4138620126
    1893 1 6.110963e-01 -0.7819688049
    1894 1 8.737319e-01 2.1829251895
    1895 1 -1.470085e+00 0.5001709711
    1896 1 -1.193908e-01 0.7720357885
    1897 1 1.441880e+00 2.6635069516
    1898 1 9.807212e-01 -0.1918281006
    1899 1 -1.549435e-01 -0.0477416512
    1900 1 -6.565341e-01 -0.7303512121
    1901 1 -2.218050e+00 -0.1248124005
    1902 1 1.565099e+00 -1.2543759396
    1903 1 -6.645336e-01 -0.0018166585
    1904 1 -1.106672e+00 0.0184418854
    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x55f20e31a5d0>
    <environment: 0x55f21149e268>
    
    $method
    [1] "nlminb"
    
    $model.fit
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.409
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Multiple optimizers can be specified in a single call to boolean.
    > ## Here we fit with the nlm and nlminb optimizers.
    > (fit1.OR <- boolean(mod.OR, method=c("nlm", "nlminb")))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
    204 1 0.4537064565 0.2748803304 -1.2717912248
    205 1 -0.0258765473 -1.7359637800 -0.9451758837
    206 1 0.2073716978 0.4005162697 -0.0514096699
    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
    211 1 -0.7902889510 -1.0940681260 0.4636973671
    212 1 0.3727203973 -0.6314187353 -0.3451947249
    213 1 -0.8410156594 -0.5255775617 0.9646760715
    214 1 -1.0594503837 -0.2031988588 -0.2605225022
    215 1 2.4570741656 -1.4214051662 -1.1706711902
    216 1 -0.0336040265 1.0677884112 -1.0843643358
    217 1 -0.8257088759 0.4902205365 -0.9265318611
    218 1 -0.3655132661 -0.0063319208 -2.3805307769
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
    2000 1 1.3895910200 1.5576396694 0.8287567177
    attr(,"assign")
    [1] 0 1 2 3
    
    $frame$b
     (Intercept) x4 x5
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    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x55f20e31a5d0>
    <environment: 0x55f21149e268>
    
    $method
    [1] "nlm" "nlminb"
    
    $model.fit
    $nlm
    $nlm$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
     x5
    nlm -0.197018
    
    $nlm$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.456997 31.281691 63.6547636 100.2494259 95.25477 -21.8660312
    [2,] 31.281691 117.943969 1.8807256 19.3256601 10.65402 -5.9115476
    [3,] 63.654764 1.880726 134.6344701 31.1731459 39.15750 -0.5340373
    [4,] 100.249426 19.325660 31.1731459 145.7169853 55.20325 -7.2822927
    [5,] 95.254774 10.654019 39.1575019 55.2032487 573.49187 37.1083998
    [6,] -21.866031 -5.911548 -0.5340373 -7.2822927 37.10840 171.9631686
    [7,] -2.522996 -7.597149 -2.7947502 0.8884992 10.58570 38.7618385
     [,7]
    [1,] -2.5229956
    [2,] -7.5971495
    [3,] -2.7947502
    [4,] 0.8884992
    [5,] 10.5857040
    [6,] 38.7618385
    [7,] 559.8836759
    
    $nlm$value
    [1] -771.6595
    
    $nlm$iterations
    [1] 24
    
    $nlm$conv
    [1] 0
    
    $nlm$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.186
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.416
    
    
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.186
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.416
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Re-fit, with BFGS and a higher maximum number of iterations. All
    > ## of the options that go along with nlm(), optim(), and genoud() should
    > ## be transparently passable through boolean.
    > (fit2.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 500)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
    204 1 0.4537064565 0.2748803304 -1.2717912248
    205 1 -0.0258765473 -1.7359637800 -0.9451758837
    206 1 0.2073716978 0.4005162697 -0.0514096699
    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
    211 1 -0.7902889510 -1.0940681260 0.4636973671
    212 1 0.3727203973 -0.6314187353 -0.3451947249
    213 1 -0.8410156594 -0.5255775617 0.9646760715
    214 1 -1.0594503837 -0.2031988588 -0.2605225022
    215 1 2.4570741656 -1.4214051662 -1.1706711902
    216 1 -0.0336040265 1.0677884112 -1.0843643358
    217 1 -0.8257088759 0.4902205365 -0.9265318611
    218 1 -0.3655132661 -0.0063319208 -2.3805307769
    219 1 -0.4840289041 -0.9261609666 -0.2859256147
    220 1 1.2062978792 -0.0248296420 -0.9045873519
    221 1 1.1480913567 0.4550137293 2.0219463843
    222 1 1.3517073357 0.4395145976 1.5716217015
    223 1 -0.5552325516 -1.3586049308 -0.0826571245
    224 1 0.9666831878 -0.4204558998 0.7782147447
    225 1 -1.5574704016 -0.5484079137 0.2172601824
    226 1 1.2681306532 0.7604015245 0.6591804202
    227 1 0.4166108668 0.0280533938 -2.3660085727
    228 1 0.3688921225 -1.4404393794 0.9483422184
    229 1 -2.1995596199 0.1022425497 -1.7009442521
    230 1 1.5332470445 -0.0071040852 0.0644370512
    231 1 -0.1238355180 -0.6022837949 -1.0961395462
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
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    [1] 0 1 2 3
    
    $frame$b
     (Intercept) x4 x5
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    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x55f20e31a5d0>
    <environment: 0x55f21149e268>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.415456 31.274778 63.6456959 100.237354 95.23245 -21.8675831
    [2,] 31.274778 117.904100 1.8828406 19.327963 10.65650 -5.9135497
    [3,] 63.645696 1.882841 134.5975938 31.183303 39.15290 -0.5354693
    [4,] 100.237354 19.327963 31.1833027 145.693121 55.20376 -7.2869532
    [5,] 95.232446 10.656496 39.1529009 55.203757 573.52298 37.0939880
    [6,] -21.867583 -5.913550 -0.5354693 -7.286953 37.09399 171.9705056
    [7,] -2.524958 -7.593851 -2.7941225 0.889493 10.58814 38.7623054
     [,7]
    [1,] -2.524958
    [2,] -7.593851
    [3,] -2.794123
    [4,] 0.889493
    [5,] 10.588142
    [6,] 38.762305
    [7,] 559.921821
    
    $BFGS$value
    [1] -771.6595
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 0
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
     value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS 771.6595 58 18 NA 0 TRUE TRUE 0.328
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Induce a convergence warning message.
    > (fit3.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 5)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
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    167 1 0.8969177714 -0.6397434859 -0.0761318178
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    170 1 0.2574523837 -2.1737384365 0.0261676793
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    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
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    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
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    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
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    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
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    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
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    200 1 -0.0677214749 1.4564685363 -1.4429389572
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
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    $frame$b
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    1863 1 1.720489e-01 -2.0859594727
    1864 1 -5.309989e-01 -0.3731444918
    1865 1 -7.640969e-01 1.4966359941
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    1867 1 -8.209414e-02 -1.1825741286
    1868 1 1.269886e+00 -1.3231069934
    1869 1 6.340240e-01 -1.2157261114
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    1872 1 -2.274793e-02 0.4775947994
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    1877 1 -3.254867e-01 0.2090606673
    1878 1 -2.211325e-01 0.2929710562
    1879 1 -1.710826e+00 2.3779783778
    1880 1 -3.713471e-01 -1.4813535976
    1881 1 -1.191724e+00 -2.4675259417
    1882 1 5.749024e-01 -0.5813851051
    1883 1 -8.643900e-01 -0.2807471520
    1884 1 3.922759e-01 -0.3601650438
    1885 1 1.321946e+00 -0.2270587191
    1886 1 1.275346e+00 0.0060096421
    1887 1 -1.461178e+00 1.4219869387
    1888 1 4.263679e-01 -0.6560333749
    1889 1 1.069635e-01 0.7154114440
    1890 1 3.954492e-01 -1.2810537354
    1891 1 -5.094093e-01 0.2116882009
    1892 1 6.522543e-01 0.4138620126
    1893 1 6.110963e-01 -0.7819688049
    1894 1 8.737319e-01 2.1829251895
    1895 1 -1.470085e+00 0.5001709711
    1896 1 -1.193908e-01 0.7720357885
    1897 1 1.441880e+00 2.6635069516
    1898 1 9.807212e-01 -0.1918281006
    1899 1 -1.549435e-01 -0.0477416512
    1900 1 -6.565341e-01 -0.7303512121
    1901 1 -2.218050e+00 -0.1248124005
    1902 1 1.565099e+00 -1.2543759396
    1903 1 -6.645336e-01 -0.0018166585
    1904 1 -1.106672e+00 0.0184418854
    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x55f20e31a5d0>
    <environment: 0x55f21149e268>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5
    BFGS -0.2085441
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 152.724870 30.350731 78.5240869 95.7768127 127.11743 -10.971630
    [2,] 30.350731 156.269234 -1.5652812 14.0418127 10.66959 -4.423217
    [3,] 78.524087 -1.565281 172.8665894 21.9240707 48.76609 3.315847
    [4,] 95.776813 14.041813 21.9240707 158.7687197 61.88226 -3.110111
    [5,] 127.117432 10.669594 48.7660940 61.8822613 633.64449 49.401769
    [6,] -10.971630 -4.423217 3.3158474 -3.1101106 49.40177 268.091052
    [7,] 4.493651 -6.401603 -0.9885231 0.5891863 3.17210 51.520332
     [,7]
    [1,] 4.4936515
    [2,] -6.4016028
    [3,] -0.9885231
    [4,] 0.5891863
    [5,] 3.1720999
    [6,] 51.5203315
    [7,] 611.6443925
    
    $BFGS$value
    [1] -793.5796
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 1
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS -0.2085441 793.5796 19 5 NA 1 FALSE TRUE 0.121
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Not run:
    > ##D ## Now estimate model with genoud, a genetic optimizer. This has the
    > ##D ## capability of using multiple processors via parallel.
    > ##D (fit6.OR <- boolean(mod.OR, method="genoud",
    > ##D cluster=c("localhost", "localhost"),
    > ##D print.level=2))
    > ##D
    > ##D ## The default SANN optimizer is also available.
    > ##D (fit7.OR <- boolean(mod.OR, method="SANN"))
    > ## End(Not run)
    >
    > ## The fit is stored as "model.fit", within the boolean object.
    > str(fit.OR$model.fit)
    List of 1
     $ nlminb:List of 6
     ..$ par : num [1, 1:7] -1.96217 0.25416 0.69548 0.99724 0.00689 ...
     .. ..- attr(*, "dimnames")=List of 2
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : chr [1:7] "X.Intercept." "x1" "x2" "x3" ...
     ..$ nhatend : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     ..$ value : num -772
     ..$ iterations: num 42
     ..$ conv : num 0
     ..$ detail :Classes ‘optimx’ and 'data.frame': 1 obs. of 15 variables:
     .. ..$ X.Intercept. : num -1.96
     .. ..$ x1 : num 0.254
     .. ..$ x2 : num 0.695
     .. ..$ x3 : num 0.997
     .. ..$ X.Intercept..1: num 0.00689
     .. ..$ x4 : num 1.7
     .. ..$ x5 : num -0.197
     .. ..$ value : num 772
     .. ..$ fevals : num 54
     .. ..$ gevals : num 408
     .. ..$ niter : num 42
     .. ..$ convcode : num 0
     .. ..$ kkt1 : logi TRUE
     .. ..$ kkt2 : logi TRUE
     .. ..$ xtimes : num 0.409
     .. ..- attr(*, "details")=List of 5
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : num [1:7] 1.23e-05 1.32e-04 -4.30e-05 -1.06e-04 -4.30e-04 ...
     .. .. ..$ : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     .. .. ..$ : num [1:7] 617 562 246 158 121 ...
     .. .. ..$ : chr "none"
     .. .. ..- attr(*, "dim")= int [1:2] 1 5
     .. .. ..- attr(*, "dimnames")=List of 2
     .. .. .. ..$ : chr "nlminb"
     .. .. .. ..$ : chr [1:5] "method" "ngatend" "nhatend" "hev" ...
     .. ..- attr(*, "maximize")= logi FALSE
     .. ..- attr(*, "npar")= int 7
     .. ..- attr(*, "follow.on")= logi FALSE
     - attr(*, "class")= chr [1:2] "boolfit" "list"
    >
    > ## Create a summary object, saving and printing it. Then take a look at
    > ## the objects stored in the summary object.
    > (smry <- summary(fit.OR))
     Length Class Mode
    call 6 -none- call
    link 2 -none- list
    model 2 -none- list
    N 1 -none- numeric
    k 1 -none- numeric
    coef.labels 7 -none- character
    coef.idx 2 -none- list
    response 2000 -none- numeric
    frame 2 -none- list
    calc_lik 1 -none- function
    method 1 -none- character
    model.fit 1 boolfit list
    > str(smry)
     'summaryDefault' chr [1:12, 1:3] " 6" " 2" " 2" " 1" " 1" " 7" ...
     - attr(*, "dimnames")=List of 2
     ..$ : chr [1:12] "call" "link" "model" "N" ...
     ..$ : chr [1:3] "Length" "Class" "Mode"
    >
    > ## Extract log-likelihood and coefficient vector.
    > logLik(fit.OR)
    Error in UseMethod("logLik") :
     no applicable method for 'logLik' applied to an object of class "boolean"
    Calls: logLik
    Execution halted
Flavor: r-devel-linux-x86_64-debian-gcc

Version: 3.1.6
Check: examples
Result: ERROR
    Running examples in ‘boolean3-Ex.R’ failed
    The error most likely occurred in:
    
    > base::assign(".ptime", proc.time(), pos = "CheckExEnv")
    > ### Name: boolean3-package
    > ### Title: Modeling Causal Complexity
    > ### Aliases: boolean3 boolean3-package
    > ### Keywords: package
    >
    > ### ** Examples
    >
    > ## Generate some fake data
    > require(mvtnorm)
    Loading required package: mvtnorm
    > set.seed(12345)
    > N <- 2000
    > Df <- cbind(1, rmvnorm(N, mean=rep(0, 5)))
    >
    > ## Set coefficients
    > beta.a <- c(-2.00, 0.33, 0.66, 1.00)
    > beta.b <- c(0.00, 1.50, -0.25)
    >
    > ## Generate path probabilities following a normal model.
    > y.a <- as.vector(pnorm(tcrossprod(beta.a, Df[, 1:4])))
    > y.b <- as.vector(pnorm(tcrossprod(beta.b, Df[, c(1, 5, 6)])))
    >
    > ## AND and OR-model
    > or <- function(x, y) { x + y - x * y }
    > and <- function(x, y) { x * y }
    > y.star.OR <- or(y.a, y.b)
    > y.star.AND <- and(y.a, y.b)
    >
    > ## Observed responses
    > y.OR <- rbinom(N, 1, y.star.OR)
    > y.AND <- rbinom(N, 1, y.star.AND)
    >
    > ## Set up data.frame for estimation
    > Df <- cbind(1, Df)
    > Df <- as.data.frame(Df)
    > Df[,1] <- y.OR
    > Df[,2] <- y.AND
    > names(Df) <- c("y.OR", "y.AND", "x1", "x2", "x3", "x4", "x5")
    >
    > ## Before estimating, boolean models need to be specified using the
    > ## boolprep function.
    >
    > ## OR model, specified to use a probit link for each causal path. This
    > ## matches the data generating process above.
    > mod.OR <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit")))
    >
    > ## IF you really want to, it's also possible to specify a different
    > ## link function for each causal path. These should be in the same
    > ## order as specified in the model formula.
    > mod.OR2 <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit"),
    + binomial("logit")))
    >
    > ## Fit the prepared model using the nlminb optimizer (the default).
    > (fit.OR <- boolean(mod.OR, method="nlminb", control=list(trace=1)))
    fn is fn
    Looking for method = nlminb
    Function has 7 arguments
    Analytic gradient not made available.
    Analytic Hessian not made available.
    Scale check -- log parameter ratio= 2.069957 log bounds ratio= NA
    Method: nlminb
     0: 2035.0322: 0.555932 0.00473222 0.0518577 0.0496661 0.555932 0.314324 -0.0401190
     1: 1125.8726: -0.128002 0.0388608 0.148522 0.127276 -0.0324267 0.721923 -0.0984183
     2: 842.16854: -0.894107 0.0450576 0.220895 0.294603 0.0566570 1.33118 -0.124427
     3: 801.45277: -1.16971 0.0904748 0.304796 0.364513 -0.181651 1.54390 -0.197683
     4: 793.97921: -1.20286 0.147914 0.450047 0.558015 0.0953275 1.78334 -0.178614
     5: 780.71673: -1.44471 0.189016 0.538420 0.765386 -0.198236 1.79638 -0.181454
     6: 775.40425: -1.51478 0.180762 0.546683 0.747108 -0.0165510 1.79489 -0.229489
     7: 774.57448: -1.57276 0.182887 0.545728 0.743597 -0.0714210 1.78130 -0.190647
     8: 773.65776: -1.60590 0.198898 0.574778 0.783028 -0.0163173 1.74617 -0.198394
     9: 773.45521: -1.67407 0.202747 0.586465 0.808583 -0.0539769 1.72187 -0.223385
     10: 773.01515: -1.71678 0.200876 0.598546 0.838030 -0.0208753 1.72345 -0.159004
     11: 772.50230: -1.72318 0.206564 0.606078 0.846533 -0.0158345 1.72432 -0.200933
     12: 772.18615: -1.78954 0.231404 0.641645 0.890729 -0.0149774 1.74469 -0.180530
     13: 771.89407: -1.85032 0.220442 0.644318 0.940353 -0.00765249 1.69664 -0.201119
     14: 771.82963: -1.85752 0.227057 0.652232 0.940176 0.00321924 1.70914 -0.192294
     15: 771.80804: -1.86904 0.234336 0.658832 0.936483 -0.00922186 1.71128 -0.202710
     16: 771.77147: -1.87385 0.245677 0.671660 0.936852 0.000202047 1.70546 -0.194253
     17: 771.73610: -1.88837 0.239128 0.666675 0.949032 -0.000940174 1.71251 -0.199984
     18: 771.73251: -1.89568 0.239325 0.673717 0.966182 0.00207717 1.70995 -0.190095
     19: 771.69796: -1.91188 0.246202 0.678638 0.968550 0.000991727 1.69952 -0.197926
     20: 771.68769: -1.91635 0.246152 0.679388 0.968983 0.00465926 1.70560 -0.195221
     21: 771.68585: -1.92140 0.245884 0.681944 0.970632 -0.000298807 1.70718 -0.199282
     22: 771.67581: -1.92565 0.249540 0.682440 0.975775 0.00323946 1.70555 -0.197016
     23: 771.67138: -1.93310 0.248427 0.685083 0.977666 0.00545687 1.70803 -0.197440
     24: 771.66787: -1.93884 0.251036 0.686583 0.982438 0.00259472 1.70576 -0.196931
     25: 771.66515: -1.94282 0.249059 0.691551 0.986158 0.00554980 1.70248 -0.197777
     26: 771.66252: -1.94927 0.253205 0.688497 0.988277 0.00637468 1.70450 -0.196717
     27: 771.66179: -1.94943 0.252731 0.690801 0.989858 0.00511422 1.70388 -0.197930
     28: 771.66159: -1.95076 0.251950 0.692556 0.990551 0.00589815 1.70452 -0.195798
     29: 771.66071: -1.95311 0.252596 0.692511 0.991245 0.00686234 1.70299 -0.197147
     30: 771.66048: -1.95352 0.252645 0.692540 0.991439 0.00603419 1.70315 -0.197013
     31: 771.66035: -1.95391 0.252809 0.692812 0.992092 0.00645048 1.70345 -0.197051
     32: 771.66010: -1.95539 0.253106 0.692932 0.993201 0.00597275 1.70362 -0.197059
     33: 771.65989: -1.95682 0.253095 0.693679 0.993688 0.00656203 1.70289 -0.196863
     34: 771.65976: -1.95822 0.253576 0.694616 0.994380 0.00638257 1.70290 -0.197323
     35: 771.65960: -1.95958 0.253686 0.694374 0.995708 0.00653884 1.70291 -0.197074
     36: 771.65960: -1.96080 0.254736 0.695269 0.996154 0.00683515 1.70302 -0.196825
     37: 771.65953: -1.96146 0.254391 0.695463 0.996637 0.00680183 1.70275 -0.197052
     38: 771.65952: -1.96215 0.254142 0.695673 0.997170 0.00692894 1.70255 -0.196925
     39: 771.65951: -1.96220 0.254146 0.695537 0.997255 0.00692672 1.70258 -0.197040
     40: 771.65951: -1.96221 0.254149 0.695523 0.997250 0.00689011 1.70258 -0.197017
     41: 771.65951: -1.96219 0.254155 0.695486 0.997245 0.00689580 1.70257 -0.197015
     42: 771.65951: -1.96217 0.254157 0.695483 0.997240 0.00689316 1.70257 -0.197019
    Post processing for method nlminb
    Successful convergence!
    Compute Hessian approximation at finish of nlminb
    Compute gradient approximation at finish of nlminb
    Save results from method nlminb
    $par
     (Intercept) x1 x2 x3 (Intercept) x4
    -1.962174116 0.254157295 0.695482511 0.997240458 0.006893159 1.702572353
     x5
    -0.197019270
    
    $message
    [1] "relative convergence (4)"
    
    $convcode
    [1] 0
    
    $value
    [1] 771.6595
    
    $fevals
    function
     54
    
    $gevals
    gradient
     408
    
    $nitns
    [1] 42
    
    $kkt1
    [1] TRUE
    
    $kkt2
    [1] TRUE
    
    $xtimes
    user.self
     0.563
    
    Assemble the answers
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
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    1911 1 0.4501668128 -1.3705684156 0.0827908833
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    1934 1 -0.3853713966 1.3796001651 1.1869335893
    1935 1 -1.4195978836 1.2599687055 -1.3105230831
    1936 1 0.7039956863 -0.6795137634 0.6770159321
    1937 1 -0.1121223178 -1.9497878212 0.0008593290
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    1939 1 0.2440649268 -0.2966685771 1.0875616030
    1940 1 0.4435618230 -1.1928640070 1.8261073202
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    1942 1 -0.6162790105 2.0746259168 -1.2496750704
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    1960 1 1.5259089112 -0.0163216574 -1.3601259391
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    1962 1 1.1259072020 0.1352367960 0.5915803641
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
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    1856 1 -8.494660e-01 0.2668094484
    1857 1 -4.235023e-01 0.4601201698
    1858 1 3.118541e-01 2.5699594034
    1859 1 3.858923e-01 1.2908077867
    1860 1 5.128240e-01 0.7792068180
    1861 1 -4.541796e-01 0.8808773380
    1862 1 2.345021e-01 -0.4485462168
    1863 1 1.720489e-01 -2.0859594727
    1864 1 -5.309989e-01 -0.3731444918
    1865 1 -7.640969e-01 1.4966359941
    1866 1 1.065466e-02 -0.5176479737
    1867 1 -8.209414e-02 -1.1825741286
    1868 1 1.269886e+00 -1.3231069934
    1869 1 6.340240e-01 -1.2157261114
    1870 1 3.964723e-01 -1.9724188031
    1871 1 2.129687e-01 -0.2249344209
    1872 1 -2.274793e-02 0.4775947994
    1873 1 -1.955873e-01 0.1809316898
    1874 1 -2.882144e-01 -1.6730899755
    1875 1 -8.519617e-02 -0.6308489260
    1876 1 -7.614977e-01 -0.4360083612
    1877 1 -3.254867e-01 0.2090606673
    1878 1 -2.211325e-01 0.2929710562
    1879 1 -1.710826e+00 2.3779783778
    1880 1 -3.713471e-01 -1.4813535976
    1881 1 -1.191724e+00 -2.4675259417
    1882 1 5.749024e-01 -0.5813851051
    1883 1 -8.643900e-01 -0.2807471520
    1884 1 3.922759e-01 -0.3601650438
    1885 1 1.321946e+00 -0.2270587191
    1886 1 1.275346e+00 0.0060096421
    1887 1 -1.461178e+00 1.4219869387
    1888 1 4.263679e-01 -0.6560333749
    1889 1 1.069635e-01 0.7154114440
    1890 1 3.954492e-01 -1.2810537354
    1891 1 -5.094093e-01 0.2116882009
    1892 1 6.522543e-01 0.4138620126
    1893 1 6.110963e-01 -0.7819688049
    1894 1 8.737319e-01 2.1829251895
    1895 1 -1.470085e+00 0.5001709711
    1896 1 -1.193908e-01 0.7720357885
    1897 1 1.441880e+00 2.6635069516
    1898 1 9.807212e-01 -0.1918281006
    1899 1 -1.549435e-01 -0.0477416512
    1900 1 -6.565341e-01 -0.7303512121
    1901 1 -2.218050e+00 -0.1248124005
    1902 1 1.565099e+00 -1.2543759396
    1903 1 -6.645336e-01 -0.0018166585
    1904 1 -1.106672e+00 0.0184418854
    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x555bc6d72188>
    <environment: 0x555bc68fb960>
    
    $method
    [1] "nlminb"
    
    $model.fit
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.563
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Multiple optimizers can be specified in a single call to boolean.
    > ## Here we fit with the nlm and nlminb optimizers.
    > (fit1.OR <- boolean(mod.OR, method=c("nlm", "nlminb")))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
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    1968 1 -1.0057813251 0.9495974873 0.6323687679
    1969 1 -0.6413560720 -1.4102040134 2.7601132507
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    1978 1 -1.7023189966 1.0456737408 -0.3299418802
    1979 1 -0.3525757419 1.6187237961 -0.1839015100
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    1981 1 1.3103175067 -1.6672633386 -0.6409371167
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    1983 1 0.8975973910 -0.3181186536 0.9483856692
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    1985 1 -0.8254812411 -1.0650191672 0.5799721100
    1986 1 -1.1192418252 -0.5114190154 -0.4053928319
    1987 1 0.0065974682 0.8741168281 -0.8550534810
    1988 1 0.6605175997 -1.0373908552 0.1053078120
    1989 1 -0.3471181915 2.2258106134 0.3856425919
    1990 1 0.5416183299 1.9389756355 -1.2372749451
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    1992 1 1.1995929480 -1.7004837358 1.7310396089
    1993 1 -0.6077349618 -1.2032523514 -0.7536464872
    1994 1 1.3323007898 1.7472395072 0.0155082136
    1995 1 -0.4749870115 -1.8379310769 0.5495834553
    1996 1 -0.7657635941 -1.1514981733 -0.1342295100
    1997 1 -0.2244958017 -0.8118043244 -0.8895302387
    1998 1 -1.0115694345 -2.1610311431 -0.0747329783
    1999 1 -1.4585148377 1.1140849045 0.1244447918
    2000 1 1.3895910200 1.5576396694 0.8287567177
    attr(,"assign")
    [1] 0 1 2 3
    
    $frame$b
     (Intercept) x4 x5
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    2 1 -2.841597e-01 -0.9193220025
    3 1 5.202165e-01 -0.7505319945
    4 1 1.120713e+00 0.2987236993
    5 1 -1.553137e+00 -1.5977095167
    6 1 6.121235e-01 -0.1623109769
    7 1 1.632446e+00 0.2542711928
    8 1 1.767734e+00 0.0258010486
    9 1 9.371405e-01 0.8544517203
    10 1 5.831877e-01 -1.3067988335
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    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x555bc6d72188>
    <environment: 0x555bc68fb960>
    
    $method
    [1] "nlm" "nlminb"
    
    $model.fit
    $nlm
    $nlm$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
     x5
    nlm -0.197018
    
    $nlm$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.456997 31.281691 63.6547636 100.2494259 95.25477 -21.8660312
    [2,] 31.281691 117.943969 1.8807256 19.3256601 10.65402 -5.9115476
    [3,] 63.654764 1.880726 134.6344701 31.1731459 39.15750 -0.5340373
    [4,] 100.249426 19.325660 31.1731459 145.7169853 55.20325 -7.2822927
    [5,] 95.254774 10.654019 39.1575019 55.2032487 573.49187 37.1083998
    [6,] -21.866031 -5.911548 -0.5340373 -7.2822927 37.10840 171.9631686
    [7,] -2.522996 -7.597149 -2.7947502 0.8884992 10.58570 38.7618385
     [,7]
    [1,] -2.5229956
    [2,] -7.5971495
    [3,] -2.7947502
    [4,] 0.8884992
    [5,] 10.5857040
    [6,] 38.7618385
    [7,] 559.8836759
    
    $nlm$value
    [1] -771.6595
    
    $nlm$iterations
    [1] 24
    
    $nlm$conv
    [1] 0
    
    $nlm$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.255
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.579
    
    
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.255
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.579
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Re-fit, with BFGS and a higher maximum number of iterations. All
    > ## of the options that go along with nlm(), optim(), and genoud() should
    > ## be transparently passable through boolean.
    > (fit2.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 500)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
    204 1 0.4537064565 0.2748803304 -1.2717912248
    205 1 -0.0258765473 -1.7359637800 -0.9451758837
    206 1 0.2073716978 0.4005162697 -0.0514096699
    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
    211 1 -0.7902889510 -1.0940681260 0.4636973671
    212 1 0.3727203973 -0.6314187353 -0.3451947249
    213 1 -0.8410156594 -0.5255775617 0.9646760715
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
    2000 1 1.3895910200 1.5576396694 0.8287567177
    attr(,"assign")
    [1] 0 1 2 3
    
    $frame$b
     (Intercept) x4 x5
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    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x555bc6d72188>
    <environment: 0x555bc68fb960>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.415456 31.274778 63.6456959 100.237354 95.23245 -21.8675831
    [2,] 31.274778 117.904100 1.8828406 19.327963 10.65650 -5.9135497
    [3,] 63.645696 1.882841 134.5975938 31.183303 39.15290 -0.5354693
    [4,] 100.237354 19.327963 31.1833027 145.693121 55.20376 -7.2869532
    [5,] 95.232446 10.656496 39.1529009 55.203757 573.52298 37.0939880
    [6,] -21.867583 -5.913550 -0.5354693 -7.286953 37.09399 171.9705056
    [7,] -2.524958 -7.593851 -2.7941225 0.889493 10.58814 38.7623054
     [,7]
    [1,] -2.524958
    [2,] -7.593851
    [3,] -2.794123
    [4,] 0.889493
    [5,] 10.588142
    [6,] 38.762305
    [7,] 559.921821
    
    $BFGS$value
    [1] -771.6595
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 0
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
     value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS 771.6595 58 18 NA 0 TRUE TRUE 0.42
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Induce a convergence warning message.
    > (fit3.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 5)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
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    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
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    193 1 0.3250866403 -0.7821450904 0.5210319607
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    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
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    205 1 -0.0258765473 -1.7359637800 -0.9451758837
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    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
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    213 1 -0.8410156594 -0.5255775617 0.9646760715
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    216 1 -0.0336040265 1.0677884112 -1.0843643358
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    229 1 -2.1995596199 0.1022425497 -1.7009442521
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    238 1 0.1222044577 -1.8035574195 1.0014954010
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    259 1 -0.9695539662 1.6506787878 0.6659569235
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    1959 1 -9.077401e-01 1.7400984741
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    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
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    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
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    1977 1 -1.078647e+00 -0.1883596530
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    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
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    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
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    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x555bc6d72188>
    <environment: 0x555bc68fb960>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5
    BFGS -0.2085441
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 152.724870 30.350731 78.5240869 95.7768127 127.11743 -10.971630
    [2,] 30.350731 156.269234 -1.5652812 14.0418127 10.66959 -4.423217
    [3,] 78.524087 -1.565281 172.8665894 21.9240707 48.76609 3.315847
    [4,] 95.776813 14.041813 21.9240707 158.7687197 61.88226 -3.110111
    [5,] 127.117432 10.669594 48.7660940 61.8822613 633.64449 49.401769
    [6,] -10.971630 -4.423217 3.3158474 -3.1101106 49.40177 268.091052
    [7,] 4.493651 -6.401603 -0.9885231 0.5891863 3.17210 51.520332
     [,7]
    [1,] 4.4936515
    [2,] -6.4016028
    [3,] -0.9885231
    [4,] 0.5891863
    [5,] 3.1720999
    [6,] 51.5203315
    [7,] 611.6443925
    
    $BFGS$value
    [1] -793.5796
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 1
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS -0.2085441 793.5796 19 5 NA 1 FALSE TRUE 0.155
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Not run:
    > ##D ## Now estimate model with genoud, a genetic optimizer. This has the
    > ##D ## capability of using multiple processors via parallel.
    > ##D (fit6.OR <- boolean(mod.OR, method="genoud",
    > ##D cluster=c("localhost", "localhost"),
    > ##D print.level=2))
    > ##D
    > ##D ## The default SANN optimizer is also available.
    > ##D (fit7.OR <- boolean(mod.OR, method="SANN"))
    > ## End(Not run)
    >
    > ## The fit is stored as "model.fit", within the boolean object.
    > str(fit.OR$model.fit)
    List of 1
     $ nlminb:List of 6
     ..$ par : num [1, 1:7] -1.96217 0.25416 0.69548 0.99724 0.00689 ...
     .. ..- attr(*, "dimnames")=List of 2
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : chr [1:7] "X.Intercept." "x1" "x2" "x3" ...
     ..$ nhatend : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     ..$ value : num -772
     ..$ iterations: num 42
     ..$ conv : num 0
     ..$ detail :Classes ‘optimx’ and 'data.frame': 1 obs. of 15 variables:
     .. ..$ X.Intercept. : num -1.96
     .. ..$ x1 : num 0.254
     .. ..$ x2 : num 0.695
     .. ..$ x3 : num 0.997
     .. ..$ X.Intercept..1: num 0.00689
     .. ..$ x4 : num 1.7
     .. ..$ x5 : num -0.197
     .. ..$ value : num 772
     .. ..$ fevals : num 54
     .. ..$ gevals : num 408
     .. ..$ niter : num 42
     .. ..$ convcode : num 0
     .. ..$ kkt1 : logi TRUE
     .. ..$ kkt2 : logi TRUE
     .. ..$ xtimes : num 0.563
     .. ..- attr(*, "details")=List of 5
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : num [1:7] 1.23e-05 1.32e-04 -4.30e-05 -1.06e-04 -4.30e-04 ...
     .. .. ..$ : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     .. .. ..$ : num [1:7] 617 562 246 158 121 ...
     .. .. ..$ : chr "none"
     .. .. ..- attr(*, "dim")= int [1:2] 1 5
     .. .. ..- attr(*, "dimnames")=List of 2
     .. .. .. ..$ : chr "nlminb"
     .. .. .. ..$ : chr [1:5] "method" "ngatend" "nhatend" "hev" ...
     .. ..- attr(*, "maximize")= logi FALSE
     .. ..- attr(*, "npar")= int 7
     .. ..- attr(*, "follow.on")= logi FALSE
     - attr(*, "class")= chr [1:2] "boolfit" "list"
    >
    > ## Create a summary object, saving and printing it. Then take a look at
    > ## the objects stored in the summary object.
    > (smry <- summary(fit.OR))
     Length Class Mode
    call 6 -none- call
    link 2 -none- list
    model 2 -none- list
    N 1 -none- numeric
    k 1 -none- numeric
    coef.labels 7 -none- character
    coef.idx 2 -none- list
    response 2000 -none- numeric
    frame 2 -none- list
    calc_lik 1 -none- function
    method 1 -none- character
    model.fit 1 boolfit list
    > str(smry)
     'summaryDefault' chr [1:12, 1:3] " 6" " 2" " 2" " 1" " 1" " 7" ...
     - attr(*, "dimnames")=List of 2
     ..$ : chr [1:12] "call" "link" "model" "N" ...
     ..$ : chr [1:3] "Length" "Class" "Mode"
    >
    > ## Extract log-likelihood and coefficient vector.
    > logLik(fit.OR)
    Error in UseMethod("logLik") :
     no applicable method for 'logLik' applied to an object of class "boolean"
    Calls: logLik
    Execution halted
Flavor: r-patched-linux-x86_64

Version: 3.1.6
Check: examples
Result: ERROR
    Running examples in ‘boolean3-Ex.R’ failed
    The error most likely occurred in:
    
    > base::assign(".ptime", proc.time(), pos = "CheckExEnv")
    > ### Name: boolean3-package
    > ### Title: Modeling Causal Complexity
    > ### Aliases: boolean3 boolean3-package
    > ### Keywords: package
    >
    > ### ** Examples
    >
    > ## Generate some fake data
    > require(mvtnorm)
    Loading required package: mvtnorm
    > set.seed(12345)
    > N <- 2000
    > Df <- cbind(1, rmvnorm(N, mean=rep(0, 5)))
    >
    > ## Set coefficients
    > beta.a <- c(-2.00, 0.33, 0.66, 1.00)
    > beta.b <- c(0.00, 1.50, -0.25)
    >
    > ## Generate path probabilities following a normal model.
    > y.a <- as.vector(pnorm(tcrossprod(beta.a, Df[, 1:4])))
    > y.b <- as.vector(pnorm(tcrossprod(beta.b, Df[, c(1, 5, 6)])))
    >
    > ## AND and OR-model
    > or <- function(x, y) { x + y - x * y }
    > and <- function(x, y) { x * y }
    > y.star.OR <- or(y.a, y.b)
    > y.star.AND <- and(y.a, y.b)
    >
    > ## Observed responses
    > y.OR <- rbinom(N, 1, y.star.OR)
    > y.AND <- rbinom(N, 1, y.star.AND)
    >
    > ## Set up data.frame for estimation
    > Df <- cbind(1, Df)
    > Df <- as.data.frame(Df)
    > Df[,1] <- y.OR
    > Df[,2] <- y.AND
    > names(Df) <- c("y.OR", "y.AND", "x1", "x2", "x3", "x4", "x5")
    >
    > ## Before estimating, boolean models need to be specified using the
    > ## boolprep function.
    >
    > ## OR model, specified to use a probit link for each causal path. This
    > ## matches the data generating process above.
    > mod.OR <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit")))
    >
    > ## IF you really want to, it's also possible to specify a different
    > ## link function for each causal path. These should be in the same
    > ## order as specified in the model formula.
    > mod.OR2 <- boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5,
    + data = Df, family=list(binomial("probit"),
    + binomial("logit")))
    >
    > ## Fit the prepared model using the nlminb optimizer (the default).
    > (fit.OR <- boolean(mod.OR, method="nlminb", control=list(trace=1)))
    fn is fn
    Looking for method = nlminb
    Function has 7 arguments
    Analytic gradient not made available.
    Analytic Hessian not made available.
    Scale check -- log parameter ratio= 2.069957 log bounds ratio= NA
    Method: nlminb
     0: 2035.0322: 0.555932 0.00473222 0.0518577 0.0496661 0.555932 0.314324 -0.0401190
     1: 1125.8726: -0.128002 0.0388608 0.148522 0.127276 -0.0324267 0.721923 -0.0984183
     2: 842.16854: -0.894107 0.0450576 0.220895 0.294603 0.0566570 1.33118 -0.124427
     3: 801.45277: -1.16971 0.0904748 0.304796 0.364513 -0.181651 1.54390 -0.197683
     4: 793.97921: -1.20286 0.147914 0.450047 0.558015 0.0953275 1.78334 -0.178614
     5: 780.71673: -1.44471 0.189016 0.538420 0.765386 -0.198236 1.79638 -0.181454
     6: 775.40425: -1.51478 0.180762 0.546683 0.747108 -0.0165510 1.79489 -0.229489
     7: 774.57448: -1.57276 0.182887 0.545728 0.743597 -0.0714210 1.78130 -0.190647
     8: 773.65776: -1.60590 0.198898 0.574778 0.783028 -0.0163173 1.74617 -0.198394
     9: 773.45521: -1.67407 0.202747 0.586465 0.808583 -0.0539769 1.72187 -0.223385
     10: 773.01515: -1.71678 0.200876 0.598546 0.838030 -0.0208753 1.72345 -0.159004
     11: 772.50230: -1.72318 0.206564 0.606078 0.846533 -0.0158345 1.72432 -0.200933
     12: 772.18615: -1.78954 0.231404 0.641645 0.890729 -0.0149774 1.74469 -0.180530
     13: 771.89407: -1.85032 0.220442 0.644318 0.940353 -0.00765249 1.69664 -0.201119
     14: 771.82963: -1.85752 0.227057 0.652232 0.940176 0.00321924 1.70914 -0.192294
     15: 771.80804: -1.86904 0.234336 0.658832 0.936483 -0.00922186 1.71128 -0.202710
     16: 771.77147: -1.87385 0.245677 0.671660 0.936852 0.000202047 1.70546 -0.194253
     17: 771.73610: -1.88837 0.239128 0.666675 0.949032 -0.000940174 1.71251 -0.199984
     18: 771.73251: -1.89568 0.239325 0.673717 0.966182 0.00207717 1.70995 -0.190095
     19: 771.69796: -1.91188 0.246202 0.678638 0.968550 0.000991727 1.69952 -0.197926
     20: 771.68769: -1.91635 0.246152 0.679388 0.968983 0.00465926 1.70560 -0.195221
     21: 771.68585: -1.92140 0.245884 0.681944 0.970632 -0.000298807 1.70718 -0.199282
     22: 771.67581: -1.92565 0.249540 0.682440 0.975775 0.00323946 1.70555 -0.197016
     23: 771.67138: -1.93310 0.248427 0.685083 0.977666 0.00545687 1.70803 -0.197440
     24: 771.66787: -1.93884 0.251036 0.686583 0.982438 0.00259472 1.70576 -0.196931
     25: 771.66515: -1.94282 0.249059 0.691551 0.986158 0.00554980 1.70248 -0.197777
     26: 771.66252: -1.94927 0.253205 0.688497 0.988277 0.00637468 1.70450 -0.196717
     27: 771.66179: -1.94943 0.252731 0.690801 0.989858 0.00511422 1.70388 -0.197930
     28: 771.66159: -1.95076 0.251950 0.692556 0.990551 0.00589815 1.70452 -0.195798
     29: 771.66071: -1.95311 0.252596 0.692511 0.991245 0.00686234 1.70299 -0.197147
     30: 771.66048: -1.95352 0.252645 0.692540 0.991439 0.00603419 1.70315 -0.197013
     31: 771.66035: -1.95391 0.252809 0.692812 0.992092 0.00645048 1.70345 -0.197051
     32: 771.66010: -1.95539 0.253106 0.692932 0.993201 0.00597275 1.70362 -0.197059
     33: 771.65989: -1.95682 0.253095 0.693679 0.993688 0.00656203 1.70289 -0.196863
     34: 771.65976: -1.95822 0.253576 0.694616 0.994380 0.00638257 1.70290 -0.197323
     35: 771.65960: -1.95958 0.253686 0.694374 0.995708 0.00653884 1.70291 -0.197074
     36: 771.65960: -1.96080 0.254736 0.695269 0.996154 0.00683515 1.70302 -0.196825
     37: 771.65953: -1.96146 0.254391 0.695463 0.996637 0.00680183 1.70275 -0.197052
     38: 771.65952: -1.96215 0.254142 0.695673 0.997170 0.00692894 1.70255 -0.196925
     39: 771.65951: -1.96220 0.254146 0.695537 0.997255 0.00692672 1.70258 -0.197040
     40: 771.65951: -1.96221 0.254149 0.695523 0.997250 0.00689011 1.70258 -0.197017
     41: 771.65951: -1.96219 0.254155 0.695486 0.997245 0.00689580 1.70257 -0.197015
     42: 771.65951: -1.96217 0.254157 0.695483 0.997240 0.00689316 1.70257 -0.197019
    Post processing for method nlminb
    Successful convergence!
    Compute Hessian approximation at finish of nlminb
    Compute gradient approximation at finish of nlminb
    Save results from method nlminb
    $par
     (Intercept) x1 x2 x3 (Intercept) x4
    -1.962174116 0.254157295 0.695482511 0.997240458 0.006893159 1.702572353
     x5
    -0.197019270
    
    $message
    [1] "relative convergence (4)"
    
    $convcode
    [1] 0
    
    $value
    [1] 771.6595
    
    $fevals
    function
     54
    
    $gevals
    gradient
     408
    
    $nitns
    [1] 42
    
    $kkt1
    [1] TRUE
    
    $kkt2
    [1] TRUE
    
    $xtimes
    user.self
     0.539
    
    Assemble the answers
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
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    1911 1 0.4501668128 -1.3705684156 0.0827908833
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    1934 1 -0.3853713966 1.3796001651 1.1869335893
    1935 1 -1.4195978836 1.2599687055 -1.3105230831
    1936 1 0.7039956863 -0.6795137634 0.6770159321
    1937 1 -0.1121223178 -1.9497878212 0.0008593290
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    1939 1 0.2440649268 -0.2966685771 1.0875616030
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    1945 1 0.1235600853 0.5858122480 0.6485804369
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    1836 1 5.343666e-01 0.7339604213
    1837 1 8.233797e-02 0.4251411363
    1838 1 2.119009e-01 -0.8518324261
    1839 1 9.254859e-02 1.8774709870
    1840 1 -6.365326e-01 1.5379707312
    1841 1 -9.475213e-01 0.2387941811
    1842 1 1.362999e+00 0.4398575877
    1843 1 -1.493494e+00 -0.1744773007
    1844 1 1.253609e-02 -0.1416450733
    1845 1 1.972215e-01 -1.1871818361
    1846 1 1.564884e+00 0.9718870819
    1847 1 -5.352198e-01 2.4116529941
    1848 1 1.276402e-01 0.4664958261
    1849 1 -2.546610e-01 0.8671421158
    1850 1 -1.295310e+00 1.9498100600
    1851 1 8.712637e-01 -0.5059742897
    1852 1 1.042755e+00 -0.2848301306
    1853 1 -6.548728e-01 -1.5371535657
    1854 1 4.061649e-01 -0.4419641039
    1855 1 -3.701574e-01 0.3595010880
    1856 1 -8.494660e-01 0.2668094484
    1857 1 -4.235023e-01 0.4601201698
    1858 1 3.118541e-01 2.5699594034
    1859 1 3.858923e-01 1.2908077867
    1860 1 5.128240e-01 0.7792068180
    1861 1 -4.541796e-01 0.8808773380
    1862 1 2.345021e-01 -0.4485462168
    1863 1 1.720489e-01 -2.0859594727
    1864 1 -5.309989e-01 -0.3731444918
    1865 1 -7.640969e-01 1.4966359941
    1866 1 1.065466e-02 -0.5176479737
    1867 1 -8.209414e-02 -1.1825741286
    1868 1 1.269886e+00 -1.3231069934
    1869 1 6.340240e-01 -1.2157261114
    1870 1 3.964723e-01 -1.9724188031
    1871 1 2.129687e-01 -0.2249344209
    1872 1 -2.274793e-02 0.4775947994
    1873 1 -1.955873e-01 0.1809316898
    1874 1 -2.882144e-01 -1.6730899755
    1875 1 -8.519617e-02 -0.6308489260
    1876 1 -7.614977e-01 -0.4360083612
    1877 1 -3.254867e-01 0.2090606673
    1878 1 -2.211325e-01 0.2929710562
    1879 1 -1.710826e+00 2.3779783778
    1880 1 -3.713471e-01 -1.4813535976
    1881 1 -1.191724e+00 -2.4675259417
    1882 1 5.749024e-01 -0.5813851051
    1883 1 -8.643900e-01 -0.2807471520
    1884 1 3.922759e-01 -0.3601650438
    1885 1 1.321946e+00 -0.2270587191
    1886 1 1.275346e+00 0.0060096421
    1887 1 -1.461178e+00 1.4219869387
    1888 1 4.263679e-01 -0.6560333749
    1889 1 1.069635e-01 0.7154114440
    1890 1 3.954492e-01 -1.2810537354
    1891 1 -5.094093e-01 0.2116882009
    1892 1 6.522543e-01 0.4138620126
    1893 1 6.110963e-01 -0.7819688049
    1894 1 8.737319e-01 2.1829251895
    1895 1 -1.470085e+00 0.5001709711
    1896 1 -1.193908e-01 0.7720357885
    1897 1 1.441880e+00 2.6635069516
    1898 1 9.807212e-01 -0.1918281006
    1899 1 -1.549435e-01 -0.0477416512
    1900 1 -6.565341e-01 -0.7303512121
    1901 1 -2.218050e+00 -0.1248124005
    1902 1 1.565099e+00 -1.2543759396
    1903 1 -6.645336e-01 -0.0018166585
    1904 1 -1.106672e+00 0.0184418854
    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x5651a922d690>
    <environment: 0x5651a8f58740>
    
    $method
    [1] "nlminb"
    
    $model.fit
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.539
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Multiple optimizers can be specified in a single call to boolean.
    > ## Here we fit with the nlm and nlminb optimizers.
    > (fit1.OR <- boolean(mod.OR, method=c("nlm", "nlminb")))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
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    1866 1 -1.6829245469 0.7822955371 1.7030523518
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    1868 1 -1.7293245892 0.5005597238 -0.5301486164
    1869 1 -1.7916040032 0.5929514493 0.0370134036
    1870 1 0.1786611506 1.1456641122 -2.0413733712
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    1889 1 1.3474667804 -0.1981908177 0.5642318586
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    1898 1 -2.9284113595 -1.2869811578 -0.1537596105
    1899 1 -0.4576670301 0.7194155627 1.4241209944
    1900 1 -1.6768682360 -0.6776543354 -1.7671639998
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    1908 1 0.9957501059 0.9363907139 0.4726440510
    1909 1 -1.9765105603 1.0337849771 0.0908160155
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    1911 1 0.4501668128 -1.3705684156 0.0827908833
    1912 1 0.3520656331 0.6257219623 -1.1020528567
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    1917 1 1.5947207564 -0.1314114994 -0.9549997096
    1918 1 0.5907649911 0.2849089701 -0.2758064238
    1919 1 1.9659901119 1.2080287356 -1.2297222325
    1920 1 1.3412162251 0.0609777132 0.1336125178
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    1922 1 0.3745202431 -0.0297155086 1.2715047973
    1923 1 0.0557149639 2.1952654583 0.3332230970
    1924 1 0.5353023216 0.7684200352 -1.6706312031
    1925 1 -0.1140740860 -0.8453215867 1.3513744396
    1926 1 -0.3631530561 0.5053932786 -0.0681548196
    1927 1 0.1708854274 -0.7862981407 1.8810195429
    1928 1 -0.8135978130 -0.9880189792 -1.4933336407
    1929 1 0.3930435833 0.4900673742 0.4337778822
    1930 1 0.1931566457 0.1625611204 1.0941393531
    1931 1 -0.5114982513 0.0984542471 -0.0723225475
    1932 1 -0.3743520543 -0.7157947596 1.2440173123
    1933 1 -1.3457979697 0.3433009158 -0.0585854560
    1934 1 -0.3853713966 1.3796001651 1.1869335893
    1935 1 -1.4195978836 1.2599687055 -1.3105230831
    1936 1 0.7039956863 -0.6795137634 0.6770159321
    1937 1 -0.1121223178 -1.9497878212 0.0008593290
    1938 1 2.0327314861 0.6418029203 0.6909493418
    1939 1 0.2440649268 -0.2966685771 1.0875616030
    1940 1 0.4435618230 -1.1928640070 1.8261073202
    1941 1 -0.6895334179 0.7403769275 -0.7393650420
    1942 1 -0.6162790105 2.0746259168 -1.2496750704
    1943 1 0.6554576102 0.6171519038 0.1362620279
    1944 1 -0.4883053310 0.6620528090 1.5301403424
    1945 1 0.1235600853 0.5858122480 0.6485804369
    1946 1 0.5192955116 0.4907890451 -0.8258546264
    1947 1 0.4966003469 1.3942606258 0.1545432170
    1948 1 -1.1629165574 0.1104768804 -0.3851824506
    1949 1 0.5925546252 -0.0924156029 -0.2319513995
    1950 1 -0.1650763440 0.7417655129 -0.7248579929
    1951 1 0.1201458339 -2.0034020720 0.4480583265
    1952 1 -0.9497496317 -1.5996526894 1.2429639487
    1953 1 -0.9845654176 -1.4250292982 -0.2150958629
    1954 1 -0.6292737028 0.6387053322 0.9098659579
    1955 1 0.2470762624 -1.1659281126 0.2135039256
    1956 1 -0.3019393072 -0.4204044196 1.0524245390
    1957 1 -1.2407744758 0.0762588320 -1.5148585803
    1958 1 1.1767069111 0.0701459822 0.1838083076
    1959 1 0.0303172038 0.0392889244 -0.0946131335
    1960 1 1.5259089112 -0.0163216574 -1.3601259391
    1961 1 -0.9360839282 1.7372083361 0.5945341578
    1962 1 1.1259072020 0.1352367960 0.5915803641
    1963 1 -0.6329544933 -0.2882965936 0.7329916675
    1964 1 0.1950564274 -0.7055807638 -0.7593875868
    1965 1 0.2109990463 0.0089251896 0.4440323081
    1966 1 1.2020194725 -0.1029683324 -0.4785995166
    1967 1 0.6895643101 0.4547732293 -0.9987644000
    1968 1 -1.0057813251 0.9495974873 0.6323687679
    1969 1 -0.6413560720 -1.4102040134 2.7601132507
    1970 1 0.6598122999 0.2166189457 -0.1716725704
    1971 1 0.0283249962 0.3942288817 -1.2122887232
    1972 1 -0.3281763992 -1.9790850800 1.6614485708
    1973 1 2.5818837040 1.6027933223 0.6868586519
    1974 1 0.2903743936 -0.0987880207 0.9278101991
    1975 1 -1.5482114713 1.0883394989 -0.6556071528
    1976 1 -0.6492952448 0.0507962372 1.2430884596
    1977 1 0.0197237908 -2.2996144938 0.5124020913
    1978 1 -1.7023189966 1.0456737408 -0.3299418802
    1979 1 -0.3525757419 1.6187237961 -0.1839015100
    1980 1 1.0586230321 0.9239177757 -0.7816997137
    1981 1 1.3103175067 -1.6672633386 -0.6409371167
    1982 1 -0.7843924977 -0.3692494519 0.6497365708
    1983 1 0.8975973910 -0.3181186536 0.9483856692
    1984 1 -1.9197903881 -0.0991959257 0.1585830296
    1985 1 -0.8254812411 -1.0650191672 0.5799721100
    1986 1 -1.1192418252 -0.5114190154 -0.4053928319
    1987 1 0.0065974682 0.8741168281 -0.8550534810
    1988 1 0.6605175997 -1.0373908552 0.1053078120
    1989 1 -0.3471181915 2.2258106134 0.3856425919
    1990 1 0.5416183299 1.9389756355 -1.2372749451
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    1992 1 1.1995929480 -1.7004837358 1.7310396089
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    1889 1 1.069635e-01 0.7154114440
    1890 1 3.954492e-01 -1.2810537354
    1891 1 -5.094093e-01 0.2116882009
    1892 1 6.522543e-01 0.4138620126
    1893 1 6.110963e-01 -0.7819688049
    1894 1 8.737319e-01 2.1829251895
    1895 1 -1.470085e+00 0.5001709711
    1896 1 -1.193908e-01 0.7720357885
    1897 1 1.441880e+00 2.6635069516
    1898 1 9.807212e-01 -0.1918281006
    1899 1 -1.549435e-01 -0.0477416512
    1900 1 -6.565341e-01 -0.7303512121
    1901 1 -2.218050e+00 -0.1248124005
    1902 1 1.565099e+00 -1.2543759396
    1903 1 -6.645336e-01 -0.0018166585
    1904 1 -1.106672e+00 0.0184418854
    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x5651a922d690>
    <environment: 0x5651a8f58740>
    
    $method
    [1] "nlm" "nlminb"
    
    $model.fit
    $nlm
    $nlm$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
     x5
    nlm -0.197018
    
    $nlm$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.456997 31.281691 63.6547636 100.2494259 95.25477 -21.8660312
    [2,] 31.281691 117.943969 1.8807256 19.3256601 10.65402 -5.9115476
    [3,] 63.654764 1.880726 134.6344701 31.1731459 39.15750 -0.5340373
    [4,] 100.249426 19.325660 31.1731459 145.7169853 55.20325 -7.2822927
    [5,] 95.254774 10.654019 39.1575019 55.2032487 573.49187 37.1083998
    [6,] -21.866031 -5.911548 -0.5340373 -7.2822927 37.10840 171.9631686
    [7,] -2.522996 -7.597149 -2.7947502 0.8884992 10.58570 38.7618385
     [,7]
    [1,] -2.5229956
    [2,] -7.5971495
    [3,] -2.7947502
    [4,] 0.8884992
    [5,] 10.5857040
    [6,] 38.7618385
    [7,] 559.8836759
    
    $nlm$value
    [1] -771.6595
    
    $nlm$iterations
    [1] 24
    
    $nlm$conv
    [1] 0
    
    $nlm$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.247
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.534
    
    
    $nlminb
    $nlminb$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5
    nlminb -0.1970193
    
    $nlminb$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.457214 31.281924 63.6547716 100.2494647 95.25488 -21.8659765
    [2,] 31.281924 117.944232 1.8807743 19.3257198 10.65405 -5.9115098
    [3,] 63.654772 1.880774 134.6346070 31.1730783 39.15753 -0.5340214
    [4,] 100.249465 19.325720 31.1730783 145.7170857 55.20325 -7.2822566
    [5,] 95.254883 10.654048 39.1575254 55.2032529 573.49201 37.1084645
    [6,] -21.865976 -5.911510 -0.5340214 -7.2822566 37.10846 171.9634863
    [7,] -2.522868 -7.597161 -2.7946852 0.8885202 10.58556 38.7621375
     [,7]
    [1,] -2.5228681
    [2,] -7.5971613
    [3,] -2.7946852
    [4,] 0.8885202
    [5,] 10.5855587
    [6,] 38.7621375
    [7,] 559.8837337
    
    $nlminb$value
    [1] -771.6595
    
    $nlminb$iterations
    [1] 42
    
    $nlminb$conv
    [1] 0
    
    $nlminb$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    nlm -1.962176 0.2541561 0.6954833 0.9972418 0.006893525 1.702574
    nlminb -1.962174 0.2541573 0.6954825 0.9972405 0.006893159 1.702572
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    nlm -0.1970180 771.6595 NA NA 24 0 TRUE TRUE 0.247
    nlminb -0.1970193 771.6595 54 408 42 0 TRUE TRUE 0.534
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Re-fit, with BFGS and a higher maximum number of iterations. All
    > ## of the options that go along with nlm(), optim(), and genoud() should
    > ## be transparently passable through boolean.
    > (fit2.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 500)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
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    1934 1 -0.3853713966 1.3796001651 1.1869335893
    1935 1 -1.4195978836 1.2599687055 -1.3105230831
    1936 1 0.7039956863 -0.6795137634 0.6770159321
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    1963 1 -0.6329544933 -0.2882965936 0.7329916675
    1964 1 0.1950564274 -0.7055807638 -0.7593875868
    1965 1 0.2109990463 0.0089251896 0.4440323081
    1966 1 1.2020194725 -0.1029683324 -0.4785995166
    1967 1 0.6895643101 0.4547732293 -0.9987644000
    1968 1 -1.0057813251 0.9495974873 0.6323687679
    1969 1 -0.6413560720 -1.4102040134 2.7601132507
    1970 1 0.6598122999 0.2166189457 -0.1716725704
    1971 1 0.0283249962 0.3942288817 -1.2122887232
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    1975 1 -1.5482114713 1.0883394989 -0.6556071528
    1976 1 -0.6492952448 0.0507962372 1.2430884596
    1977 1 0.0197237908 -2.2996144938 0.5124020913
    1978 1 -1.7023189966 1.0456737408 -0.3299418802
    1979 1 -0.3525757419 1.6187237961 -0.1839015100
    1980 1 1.0586230321 0.9239177757 -0.7816997137
    1981 1 1.3103175067 -1.6672633386 -0.6409371167
    1982 1 -0.7843924977 -0.3692494519 0.6497365708
    1983 1 0.8975973910 -0.3181186536 0.9483856692
    1984 1 -1.9197903881 -0.0991959257 0.1585830296
    1985 1 -0.8254812411 -1.0650191672 0.5799721100
    1986 1 -1.1192418252 -0.5114190154 -0.4053928319
    1987 1 0.0065974682 0.8741168281 -0.8550534810
    1988 1 0.6605175997 -1.0373908552 0.1053078120
    1989 1 -0.3471181915 2.2258106134 0.3856425919
    1990 1 0.5416183299 1.9389756355 -1.2372749451
    1991 1 1.3226498995 -0.6862730851 -0.5742137421
    1992 1 1.1995929480 -1.7004837358 1.7310396089
    1993 1 -0.6077349618 -1.2032523514 -0.7536464872
    1994 1 1.3323007898 1.7472395072 0.0155082136
    1995 1 -0.4749870115 -1.8379310769 0.5495834553
    1996 1 -0.7657635941 -1.1514981733 -0.1342295100
    1997 1 -0.2244958017 -0.8118043244 -0.8895302387
    1998 1 -1.0115694345 -2.1610311431 -0.0747329783
    1999 1 -1.4585148377 1.1140849045 0.1244447918
    2000 1 1.3895910200 1.5576396694 0.8287567177
    attr(,"assign")
    [1] 0 1 2 3
    
    $frame$b
     (Intercept) x4 x5
    1 1 -4.534972e-01 0.6058874558
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    1905 1 8.962007e-01 -1.5790753894
    1906 1 -4.423003e-01 1.7012976526
    1907 1 -5.403642e-03 -0.4247147067
    1908 1 -1.067551e+00 -0.5569274770
    1909 1 -6.025665e-01 -0.3705957323
    1910 1 1.091899e+00 -0.2698253087
    1911 1 6.321106e-01 -1.0712310012
    1912 1 -6.891076e-02 1.5093042332
    1913 1 -5.260184e-01 -0.2522409869
    1914 1 -9.503961e-01 -1.1194321510
    1915 1 1.429524e-01 0.0355176979
    1916 1 -1.126099e+00 -0.7397448082
    1917 1 2.747486e+00 -0.2091672198
    1918 1 -4.562190e-01 -0.2211406219
    1919 1 -1.615861e+00 -0.1960416425
    1920 1 4.395728e-01 0.0851074619
    1921 1 2.996376e-01 -0.1635599861
    1922 1 1.142633e+00 1.2442966123
    1923 1 -1.601222e+00 -0.8298963397
    1924 1 -1.514884e+00 -0.9578456729
    1925 1 -8.502370e-01 -0.3434408738
    1926 1 -4.536467e-01 -0.9954231651
    1927 1 7.029974e-02 0.3539936878
    1928 1 -1.713754e-01 -1.8076249912
    1929 1 1.063081e+00 -0.5676861874
    1930 1 -2.771234e-01 0.0987148898
    1931 1 -2.123883e-01 -0.7708787733
    1932 1 1.524831e+00 -0.3909979096
    1933 1 1.754834e-01 -0.3555536583
    1934 1 -1.893939e+00 -0.1499947922
    1935 1 -7.669144e-01 1.3458038956
    1936 1 -2.528206e-01 1.3359909556
    1937 1 8.316751e-01 0.3266016616
    1938 1 1.010643e+00 -1.0517406052
    1939 1 1.796983e+00 -0.5284336240
    1940 1 7.229651e-01 -1.1143800298
    1941 1 4.178250e-01 -0.0049648993
    1942 1 1.196199e-01 0.4954238593
    1943 1 1.825934e+00 1.9632261086
    1944 1 -1.567389e+00 0.0977832811
    1945 1 2.665720e-01 -1.3769637483
    1946 1 -2.851051e-02 -0.1787249146
    1947 1 7.168300e-01 2.4089706463
    1948 1 9.548940e-02 1.1836679379
    1949 1 -1.699918e-01 -0.1629387394
    1950 1 7.732266e-01 0.4788108005
    1951 1 1.055910e+00 1.4768883954
    1952 1 1.301988e+00 1.2483121552
    1953 1 -5.629535e-01 1.8736015682
    1954 1 -1.046239e+00 -1.4697312412
    1955 1 7.296283e-01 0.3759873430
    1956 1 -1.134532e+00 -0.7568702574
    1957 1 -2.730316e+00 0.7899478570
    1958 1 6.522059e-01 -0.7758246883
    1959 1 -9.077401e-01 1.7400984741
    1960 1 -1.746243e-01 0.7273764157
    1961 1 -1.749175e+00 0.0412251647
    1962 1 6.351639e-01 -0.7465530475
    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x5651a922d690>
    <environment: 0x5651a8f58740>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 115.415456 31.274778 63.6456959 100.237354 95.23245 -21.8675831
    [2,] 31.274778 117.904100 1.8828406 19.327963 10.65650 -5.9135497
    [3,] 63.645696 1.882841 134.5975938 31.183303 39.15290 -0.5354693
    [4,] 100.237354 19.327963 31.1833027 145.693121 55.20376 -7.2869532
    [5,] 95.232446 10.656496 39.1529009 55.203757 573.52298 37.0939880
    [6,] -21.867583 -5.913550 -0.5354693 -7.286953 37.09399 171.9705056
    [7,] -2.524958 -7.593851 -2.7941225 0.889493 10.58814 38.7623054
     [,7]
    [1,] -2.524958
    [2,] -7.593851
    [3,] -2.794123
    [4,] 0.889493
    [5,] 10.588142
    [6,] 38.762305
    [7,] 559.921821
    
    $BFGS$value
    [1] -771.6595
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 0
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4 x5
    BFGS -1.96264 0.25421 0.6956157 0.9975053 0.006945397 1.70257 -0.1970051
     value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS 771.6595 58 18 NA 0 TRUE TRUE 0.409
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Induce a convergence warning message.
    > (fit3.OR <- boolean(mod.OR, method="BFGS", control = list(maxit = 5)))
    $call
    boolprep(y.OR ~ (a | b), a ~ x1 + x2 + x3, b ~ x4 + x5, data = Df,
     family = list(binomial("probit")))
    
    $link
    $link$a
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    $link$b
    $linkfun
    function (mu)
    qnorm(mu)
    <environment: namespace:stats>
    
    $linkinv
    function (eta)
    {
     thresh <- -qnorm(.Machine$double.eps)
     eta <- pmin(pmax(eta, -thresh), thresh)
     pnorm(eta)
    }
    <environment: namespace:stats>
    
    $mu.eta
    function (eta)
    pmax(dnorm(eta), .Machine$double.eps)
    <environment: namespace:stats>
    
    $valideta
    function (eta)
    TRUE
    <environment: namespace:stats>
    
    $name
    [1] "probit"
    
    attr(,"class")
    [1] "link-glm"
    
    
    $model
    $model$submods
    $model$submods$a
    [1] "x1" "x2" "x3"
    
    $model$submods$b
    [1] "x4" "x5"
    
    
    $model$boolmod
    expression((a %|% b))
    
    
    $N
    [1] 2000
    
    $k
    [1] 7
    
    $coef.labels
    [1] "(Intercept)_a" "x1_a" "x2_a" "x3_a"
    [5] "(Intercept)_b" "x4_b" "x5_b"
    
    $coef.idx
    $coef.idx$a
    [1] TRUE TRUE TRUE TRUE FALSE FALSE FALSE
    
    $coef.idx$b
    [1] FALSE FALSE FALSE FALSE TRUE TRUE TRUE
    
    
    $response
     1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
     0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1
     17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
     1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1
     33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48
     0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1
     49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64
     0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1
     65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
     1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0
     81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96
     0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0
     97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
     1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1
     113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128
     1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1
     129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144
     1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1
     145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160
     0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1
     161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176
     1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1
     177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192
     1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0
     193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208
     1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1
     209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224
     0 1 0 0 1 0 1 1 1 1 1 0 1 0 1 1
     225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240
     1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0
     241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
     1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0
     257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272
     1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0
     273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288
     1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1
     289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304
     1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0
     305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320
     1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1
     321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336
     0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1
     337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352
     0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0
     353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368
     1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0
     369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384
     1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0
     385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400
     0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1
     401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416
     1 0 0 1 1 1 1 1 0 0 1 1 1 0 1 1
     417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432
     0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1
     433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448
     1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1
     449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464
     1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0
     465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480
     1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1
     481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496
     1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1
     497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512
     0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1
     513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528
     1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0
     529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
     0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1
     545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560
     1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1
     561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576
     1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0
     577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592
     1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0
     593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608
     1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0
     609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624
     1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0
     625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640
     0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1
     641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656
     1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1
     657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672
     1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1
     673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688
     0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0
     689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704
     0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
     705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720
     0 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1
     721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736
     1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1
     737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752
     0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1
     753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0
     769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784
     0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0
     785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800
     1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0
     801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816
     0 1 0 0 1 0 1 0 1 1 1 1 1 1 1 1
     817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832
     1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
     833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848
     1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0
     849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864
     1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0
     865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880
     0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1
     881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896
     0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1
     897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912
     0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1
     913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928
     0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1
     929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944
     0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1
     945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960
     1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0
     961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976
     1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0
     977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992
     0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1
     993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008
     0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1
    1009 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024
     1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0
    1025 1026 1027 1028 1029 1030 1031 1032 1033 1034 1035 1036 1037 1038 1039 1040
     1 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1
    1041 1042 1043 1044 1045 1046 1047 1048 1049 1050 1051 1052 1053 1054 1055 1056
     0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 1
    1057 1058 1059 1060 1061 1062 1063 1064 1065 1066 1067 1068 1069 1070 1071 1072
     0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0
    1073 1074 1075 1076 1077 1078 1079 1080 1081 1082 1083 1084 1085 1086 1087 1088
     0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1
    1089 1090 1091 1092 1093 1094 1095 1096 1097 1098 1099 1100 1101 1102 1103 1104
     1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0
    1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120
     0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0
    1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136
     1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0
    1137 1138 1139 1140 1141 1142 1143 1144 1145 1146 1147 1148 1149 1150 1151 1152
     1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0
    1153 1154 1155 1156 1157 1158 1159 1160 1161 1162 1163 1164 1165 1166 1167 1168
     0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0
    1169 1170 1171 1172 1173 1174 1175 1176 1177 1178 1179 1180 1181 1182 1183 1184
     0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1
    1185 1186 1187 1188 1189 1190 1191 1192 1193 1194 1195 1196 1197 1198 1199 1200
     0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0
    1201 1202 1203 1204 1205 1206 1207 1208 1209 1210 1211 1212 1213 1214 1215 1216
     1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1
    1217 1218 1219 1220 1221 1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232
     1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1
    1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248
     0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0
    1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264
     0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1
    1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280
     0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1
    1281 1282 1283 1284 1285 1286 1287 1288 1289 1290 1291 1292 1293 1294 1295 1296
     0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1
    1297 1298 1299 1300 1301 1302 1303 1304 1305 1306 1307 1308 1309 1310 1311 1312
     0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0
    1313 1314 1315 1316 1317 1318 1319 1320 1321 1322 1323 1324 1325 1326 1327 1328
     0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0
    1329 1330 1331 1332 1333 1334 1335 1336 1337 1338 1339 1340 1341 1342 1343 1344
     0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0
    1345 1346 1347 1348 1349 1350 1351 1352 1353 1354 1355 1356 1357 1358 1359 1360
     0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1
    1361 1362 1363 1364 1365 1366 1367 1368 1369 1370 1371 1372 1373 1374 1375 1376
     1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1
    1377 1378 1379 1380 1381 1382 1383 1384 1385 1386 1387 1388 1389 1390 1391 1392
     1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0
    1393 1394 1395 1396 1397 1398 1399 1400 1401 1402 1403 1404 1405 1406 1407 1408
     1 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0
    1409 1410 1411 1412 1413 1414 1415 1416 1417 1418 1419 1420 1421 1422 1423 1424
     1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0
    1425 1426 1427 1428 1429 1430 1431 1432 1433 1434 1435 1436 1437 1438 1439 1440
     1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0
    1441 1442 1443 1444 1445 1446 1447 1448 1449 1450 1451 1452 1453 1454 1455 1456
     1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1
    1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 1468 1469 1470 1471 1472
     1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0
    1473 1474 1475 1476 1477 1478 1479 1480 1481 1482 1483 1484 1485 1486 1487 1488
     0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1
    1489 1490 1491 1492 1493 1494 1495 1496 1497 1498 1499 1500 1501 1502 1503 1504
     1 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1
    1505 1506 1507 1508 1509 1510 1511 1512 1513 1514 1515 1516 1517 1518 1519 1520
     1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1
    1521 1522 1523 1524 1525 1526 1527 1528 1529 1530 1531 1532 1533 1534 1535 1536
     1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0
    1537 1538 1539 1540 1541 1542 1543 1544 1545 1546 1547 1548 1549 1550 1551 1552
     1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0
    1553 1554 1555 1556 1557 1558 1559 1560 1561 1562 1563 1564 1565 1566 1567 1568
     0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0
    1569 1570 1571 1572 1573 1574 1575 1576 1577 1578 1579 1580 1581 1582 1583 1584
     0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1
    1585 1586 1587 1588 1589 1590 1591 1592 1593 1594 1595 1596 1597 1598 1599 1600
     1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1
    1601 1602 1603 1604 1605 1606 1607 1608 1609 1610 1611 1612 1613 1614 1615 1616
     0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1
    1617 1618 1619 1620 1621 1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632
     0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1
    1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648
     1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1
    1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664
     1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0
    1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680
     1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0
    1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696
     1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1
    1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712
     1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0
    1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728
     0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1
    1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744
     0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0
    1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760
     0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1
    1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776
     0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1
    1777 1778 1779 1780 1781 1782 1783 1784 1785 1786 1787 1788 1789 1790 1791 1792
     1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 1
    1793 1794 1795 1796 1797 1798 1799 1800 1801 1802 1803 1804 1805 1806 1807 1808
     1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0
    1809 1810 1811 1812 1813 1814 1815 1816 1817 1818 1819 1820 1821 1822 1823 1824
     0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1
    1825 1826 1827 1828 1829 1830 1831 1832 1833 1834 1835 1836 1837 1838 1839 1840
     1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0
    1841 1842 1843 1844 1845 1846 1847 1848 1849 1850 1851 1852 1853 1854 1855 1856
     0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0
    1857 1858 1859 1860 1861 1862 1863 1864 1865 1866 1867 1868 1869 1870 1871 1872
     0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0
    1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888
     0 1 0 0 1 0 0 0 1 1 0 1 1 1 0 1
    1889 1890 1891 1892 1893 1894 1895 1896 1897 1898 1899 1900 1901 1902 1903 1904
     0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0
    1905 1906 1907 1908 1909 1910 1911 1912 1913 1914 1915 1916 1917 1918 1919 1920
     1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 0
    1921 1922 1923 1924 1925 1926 1927 1928 1929 1930 1931 1932 1933 1934 1935 1936
     1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0
    1937 1938 1939 1940 1941 1942 1943 1944 1945 1946 1947 1948 1949 1950 1951 1952
     1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1
    1953 1954 1955 1956 1957 1958 1959 1960 1961 1962 1963 1964 1965 1966 1967 1968
     1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0
    1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984
     1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0
    1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000
     0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1
    
    $frame
    $frame$a
     (Intercept) x1 x2 x3
    1 1 0.5855288178 0.7094660175 -0.1093033147
    2 1 -1.8179559677 0.6300985511 -0.2761841052
    3 1 -0.1162478064 1.8173120437 0.3706278643
    4 1 0.8168998395 -0.8863575212 -0.3315775899
    5 1 0.7796219246 1.4557850825 -0.6443284292
    6 1 1.8050975188 -0.4816473637 0.6203798013
    7 1 0.8118731786 2.1968335463 2.0491903374
    8 1 0.4911882793 -0.3240865787 -1.6620502439
    9 1 1.1285108336 -2.3803580614 -1.0602655522
    10 1 1.4607294031 -1.4130987779 0.5674032534
    11 1 -0.5403860739 1.9476926647 0.0535902704
    12 1 0.2779536948 0.6911712729 0.8237953287
    13 1 0.1495919806 -1.3425314817 0.5533030755
    14 1 -1.8323773062 0.8881394327 1.5934884724
    15 1 0.0546155753 -0.7846493732 -1.0493528190
    16 1 0.9426008507 0.8262582872 -0.8115404902
    17 1 0.6453830742 1.0431435516 -0.3043691127
    18 1 1.8670991846 0.6720424690 -0.3079533808
    19 1 -0.9639014790 -0.8550825111 1.8869469420
    20 1 0.6873321006 -0.5050435175 2.1577198165
    21 1 0.2239254075 -1.1562233302 0.4224185278
    22 1 -0.5360479985 -0.3116060846 1.5561096426
    23 1 -1.2301722469 -1.3240586922 1.2612422744
    24 1 -0.5050898063 -0.0521535933 0.6288606251
    25 1 1.5448636020 1.3214520172 0.3221515754
    26 1 -1.1588210228 -1.8453682894 1.1573252871
    27 1 1.6421919908 0.8836548332 0.5248758910
    28 1 -1.0479137102 -1.0111225236 0.6689216525
    29 1 -1.1402641448 -1.2937152900 -0.5946987691
    30 1 0.5401695677 -1.5472919670 0.8496529299
    31 1 -1.6193283224 0.5483979230 0.1952821538
    32 1 -0.2509466239 1.6993466685 -0.3442987963
    33 1 -0.4876385152 0.3031512373 -0.2419740196
    34 1 -0.2806491388 0.6330173442 -1.2398183431
    35 1 0.1999204838 1.3471927776 0.0360734878
    36 1 0.4809501553 2.4835500893 0.4013649875
    37 1 -0.9117394242 -0.0490446909 -0.4053874767
    38 1 0.0764175190 1.4537473512 0.3741210834
    39 1 0.5435221079 -0.5051860029 0.7867957894
    40 1 0.7984337703 0.8508604376 -0.4435679681
    41 1 -1.4361457062 -0.6292596473 0.2435217656
    42 1 0.1052118160 -1.7417130945 0.6452469938
    43 1 0.9919506777 -0.8592507612 -0.2815796883
    44 1 0.3156128247 0.6602933781 -1.7222024071
    45 1 0.8678217426 -2.2900441795 -0.1501902882
    46 1 0.6722680417 -0.2093011363 0.0121825061
    47 1 0.0784375327 -0.7792610704 0.1665596687
    48 1 -0.4678883695 0.7583745568 -0.6417363578
    49 1 -0.7000758167 -0.5674015851 -0.2613939259
    50 1 0.7711037397 2.7474035422 -0.0839347571
    51 1 -0.8086741277 1.0011198474 0.4560525046
    52 1 0.6417691636 -0.4150210287 -0.4595756762
    53 1 0.7108899984 1.2676017522 -0.1431510558
    54 1 -0.1625889099 0.0417091744 0.4830398961
    55 1 -0.6346498942 -0.7019630314 0.5768503789
    56 1 1.1471271903 0.0147936486 -0.3117392439
    57 1 -1.5138640797 0.1642809977 -0.8708652186
    58 1 0.3573696852 0.1023930632 -0.6752668252
    59 1 -0.4282856231 -0.7139247637 -0.1903840656
    60 1 0.1837369095 -2.1503105297 -0.6229665257
    61 1 0.5222821685 0.0097937599 -0.4405261962
    62 1 0.0382097874 1.1948056324 0.3439583521
    63 1 -0.9180582028 -0.0878073286 1.3202937198
    64 1 -0.3157324793 -0.5750961042 -1.4063564356
    65 1 0.3803156970 0.6051367728 1.0196741368
    66 1 0.9331921670 0.4754354212 0.3902816000
    67 1 1.4239835987 0.4847305112 0.3492364459
    68 1 0.3670449214 -1.5191990495 1.5498033320
    69 1 2.0767099333 -0.3076505656 0.9523708852
    70 1 -0.1420633784 -1.1830257110 0.5453184095
    71 1 0.2929403027 -0.0867079053 -1.4663594955
    72 1 -0.3603208006 0.3505937650 0.0282576562
    73 1 -0.3758234363 -1.8128337643 0.2886002111
    74 1 0.6504302424 0.3102549854 1.6683571689
    75 1 -0.1460263920 1.7014318317 0.4713578806
    76 1 -0.7789022252 1.1633248478 -1.9645441952
    77 1 -0.4772722914 -0.1025805088 0.3686961762
    78 1 -0.1505570976 0.9042435562 2.2420361375
    79 1 0.7982513947 0.4981721634 0.1195602234
    80 1 0.2627041248 0.6407388780 0.3070898308
    81 1 0.6279651131 0.0021439509 0.2843777227
    82 1 0.8281942395 -0.0848186457 -0.4347199169
    83 1 -0.9712292030 -0.1609133622 1.2046870348
    84 1 -0.0199197380 0.3280164800 -0.9306286167
    85 1 0.5142421022 0.2931683808 -0.5626548305
    86 1 -0.4300125693 1.3319083517 -0.7632671561
    87 1 -0.8225400839 -0.0476483565 0.1706780107
    88 1 0.4906677770 2.2391260841 0.8922123090
    89 1 0.3942498996 0.6325214944 0.1025911025
    90 1 0.5008706583 -0.9094679509 -2.1972085120
    91 1 0.7130781039 1.0282685391 -0.5706327254
    92 1 1.2035448160 1.4961826970 -0.1565984322
    93 1 -1.2861886466 -0.2725228551 0.1569148369
    94 1 -0.8552506726 -1.0057287350 -0.9139523908
    95 1 1.2996376499 -0.0293687832 -2.2366218376
    96 1 -0.4975791431 -0.6010274043 -0.5121978141
    97 1 -0.0240353973 -0.1273903376 -0.1318856204
    98 1 0.2109307870 0.7523360895 0.1383795467
    99 1 -1.1627837168 0.8546585194 -0.2420958786
    100 1 0.2241698326 -0.7368249216 -0.8467107405
    101 1 -1.4203238585 -2.4669386469 0.4847158355
    102 1 -0.1629454633 0.2204557848 0.8762108117
    103 1 -1.9984928459 -1.2347803996 0.8463037177
    104 1 0.7674546604 0.8671015019 -1.2545811490
    105 1 0.4130208684 0.5642562609 0.7260659521
    106 1 0.2242920505 0.7864091404 -0.4233628372
    107 1 -0.1835378759 0.8348719973 -0.5872005112
    108 1 0.6454110524 -0.3123199556 1.1854482829
    109 1 2.1274630349 -0.1877064794 0.0987578449
    110 1 2.0930679948 -0.6922359279 -2.2871981109
    111 1 -0.4712225866 -0.0332096774 0.3773670678
    112 1 2.1185039306 -1.0874598695 1.2160333866
    113 1 0.1128439417 0.0652135748 -0.6306272111
    114 1 -0.6816232013 -0.0371627219 -0.2872743152
    115 1 0.8366902458 -0.3298962638 0.5348022561
    116 1 0.5761647328 1.2362238791 0.4755396380
    117 1 0.6800620909 -1.3502015698 0.2451024445
    118 1 0.2013818061 -1.5754628329 0.0235387774
    119 1 -0.5269106809 -1.3128588906 0.8008613463
    120 1 1.6818084980 -0.2263103959 -0.1979290319
    121 1 -1.6366290973 0.2115625932 -0.4648317284
    122 1 -1.3217017095 0.0766927813 -0.3849908794
    123 1 -0.4582940078 0.2288621447 -1.3964076285
    124 1 0.8028908422 -0.0605252613 0.0893286191
    125 1 1.4491694254 0.2055104719 -0.0561199677
    126 1 -0.0645002911 0.1324295959 0.0347150846
    127 1 -1.0427231529 -0.2136226802 1.7779470769
    128 1 -0.6131604214 0.4959067804 0.2456385863
    129 1 1.6343509612 0.9754357644 1.0840779376
    130 1 1.3355214732 -0.1555622761 0.9266084982
    131 1 -0.8186466261 -1.2368228612 2.3172256458
    132 1 -1.8112897399 -1.1451476862 1.2808728222
    133 1 -1.3686015604 0.5439404116 -1.2380301684
    134 1 -0.1533673976 -0.9456886203 0.3124049941
    135 1 -0.3843675980 -1.4289357321 0.9634176892
    136 1 -1.8070446596 1.3554384433 0.4456801661
    137 1 -0.6761129137 1.1360496515 2.1693321275
    138 1 1.3026361736 -2.7783255103 0.3413115606
    139 1 1.6333026798 -1.8696215131 -0.2500888468
    140 1 -2.1379097749 -0.5772610475 0.2364494516
    141 1 2.3036270054 2.0208958969 -0.0578785187
    142 1 -0.0352204283 0.9242543161 -0.3608283330
    143 1 -0.0053473432 -0.5330032870 -0.5154151412
    144 1 0.9979542440 -1.1631892607 1.6808938377
    145 1 -0.2915456043 0.9726278213 -0.2397067293
    146 1 -1.6259750852 -2.1494959449 2.1126279235
    147 1 -0.0157344441 -0.1512529191 0.0882313538
    148 1 0.3479534670 -1.8995713794 -0.0576824160
    149 1 -0.9607436927 -0.8048246106 -0.4959467622
    150 1 1.3954864903 3.0936966283 1.9008256312
    151 1 0.4617653862 0.0972093387 0.6760255642
    152 1 -0.6965953854 -1.2771354355 -0.0924237284
    153 1 -1.0308001566 -1.3195143547 -0.0842057018
    154 1 0.8633075423 0.9693708778 0.6141290402
    155 1 1.8748716168 -0.2375574567 -0.4527795383
    156 1 0.8342015841 0.9258648155 0.9431551521
    157 1 0.2198254203 -1.0052373893 0.3731011636
    158 1 1.0048154415 -0.3738294199 0.9361085041
    159 1 0.6292445983 1.0372345783 0.8706170692
    160 1 0.2394069412 -1.2561203802 0.2235698835
    161 1 -0.8174921146 -0.2492658717 0.4629986479
    162 1 1.0764874344 1.1492957868 -1.6221232769
    163 1 -0.7405849691 0.2524539178 -0.3369977389
    164 1 0.6830537666 0.0783915682 0.5333680907
    165 1 0.9401879679 -0.6636770743 -0.8424122326
    166 1 0.6504298701 -0.6983808622 -0.4375006119
    167 1 0.8969177714 -0.6397434859 -0.0761318178
    168 1 -1.9884849273 0.6315952724 -1.9441453638
    169 1 0.8878925317 -1.1031640614 -0.3026337057
    170 1 0.2574523837 -2.1737384365 0.0261676793
    171 1 0.2638040223 0.8894580105 -0.5316916219
    172 1 0.8050696694 -0.8247414704 0.6140076455
    173 1 -1.0362756757 -2.0581829719 -1.1837015813
    174 1 1.7072109072 -0.4014458473 -0.0780482412
    175 1 0.2056696111 0.4201750615 1.0637149265
    176 1 -1.3884242378 0.3100317494 0.1900542145
    177 1 0.9000962909 0.1198709617 0.9415274068
    178 1 0.7723769019 0.7435963078 -0.5896524839
    179 1 0.1398461034 0.2403041739 0.1199819713
    180 1 -0.9971703380 -1.1311023094 0.0152093642
    181 1 -0.7848609782 -2.5600524404 0.0728007835
    182 1 -0.4878667252 0.9087877914 -1.8524641483
    183 1 0.0235512251 1.1834596627 -0.5528332480
    184 1 0.0119610482 -0.2068075633 0.7388490471
    185 1 -1.8156107912 -0.2577453680 -0.0607272387
    186 1 0.3807205787 0.2135097407 -0.9685065319
    187 1 -1.7006279206 -1.4676776582 -0.2163486506
    188 1 -0.2773096650 -1.7433478148 -1.0185528402
    189 1 -0.7414661940 0.1912165321 -1.1669836244
    190 1 -0.6886211852 0.4078008873 -1.1214051140
    191 1 -1.9837605298 0.9780324681 -0.3259468062
    192 1 -0.1935253534 -0.2710168892 -0.2649423855
    193 1 0.3250866403 -0.7821450904 0.5210319607
    194 1 -0.1318275149 -1.5780766567 -0.7697308985
    195 1 0.9021508715 -0.3494070165 0.5899299967
    196 1 1.0865618162 0.8349570023 -0.2968655085
    197 1 -0.5352410982 -0.8843313187 1.8610330135
    198 1 -0.5770577745 -0.3190149090 -0.3140251328
    199 1 0.1092041256 -0.2344074001 0.1619446468
    200 1 -0.0677214749 1.4564685363 -1.4429389572
    201 1 1.6775117913 0.0794740547 -0.8564274966
    202 1 -1.8973583397 -0.0717709117 -1.0308645915
    203 1 -0.2793063562 -0.6458904070 -0.5157290929
    204 1 0.4537064565 0.2748803304 -1.2717912248
    205 1 -0.0258765473 -1.7359637800 -0.9451758837
    206 1 0.2073716978 0.4005162697 -0.0514096699
    207 1 -0.9232794163 -0.6574483346 1.6549417967
    208 1 0.2246130309 1.4205499620 0.5009206892
    209 1 0.8964609420 -1.4324676673 0.3859926340
    210 1 -1.3872222191 0.2747136542 0.5463119627
    211 1 -0.7902889510 -1.0940681260 0.4636973671
    212 1 0.3727203973 -0.6314187353 -0.3451947249
    213 1 -0.8410156594 -0.5255775617 0.9646760715
    214 1 -1.0594503837 -0.2031988588 -0.2605225022
    215 1 2.4570741656 -1.4214051662 -1.1706711902
    216 1 -0.0336040265 1.0677884112 -1.0843643358
    217 1 -0.8257088759 0.4902205365 -0.9265318611
    218 1 -0.3655132661 -0.0063319208 -2.3805307769
    219 1 -0.4840289041 -0.9261609666 -0.2859256147
    220 1 1.2062978792 -0.0248296420 -0.9045873519
    221 1 1.1480913567 0.4550137293 2.0219463843
    222 1 1.3517073357 0.4395145976 1.5716217015
    223 1 -0.5552325516 -1.3586049308 -0.0826571245
    224 1 0.9666831878 -0.4204558998 0.7782147447
    225 1 -1.5574704016 -0.5484079137 0.2172601824
    226 1 1.2681306532 0.7604015245 0.6591804202
    227 1 0.4166108668 0.0280533938 -2.3660085727
    228 1 0.3688921225 -1.4404393794 0.9483422184
    229 1 -2.1995596199 0.1022425497 -1.7009442521
    230 1 1.5332470445 -0.0071040852 0.0644370512
    231 1 -0.1238355180 -0.6022837949 -1.0961395462
    232 1 0.5308099200 0.9064108063 0.0467531289
    233 1 1.0907322204 -0.1854982253 -0.4714215288
    234 1 0.7928387976 1.0516802051 0.4675909925
    235 1 0.6878086900 -0.5405656766 0.6929025621
    236 1 -0.1401836766 0.3671502805 0.0558580626
    237 1 -1.5334578256 0.0704556078 0.6246541747
    238 1 0.1222044577 -1.8035574195 1.0014954010
    239 1 -1.1541849737 0.1958793830 0.4890331013
    240 1 0.1064994880 -1.1769668669 0.9344294271
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    1999 1 -1.4585148377 1.1140849045 0.1244447918
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    $frame$b
     (Intercept) x4 x5
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    1963 1 3.928764e-01 -0.4669105152
    1964 1 1.469288e-01 0.5619024171
    1965 1 -4.416916e-02 0.9213398038
    1966 1 5.095332e-01 1.3139610919
    1967 1 1.036623e+00 -0.6321055477
    1968 1 -1.017870e+00 1.1922587748
    1969 1 1.540566e+00 -0.2953318428
    1970 1 1.905289e+00 -0.7622792482
    1971 1 4.042105e-01 0.5947329044
    1972 1 -7.069767e-01 1.5472486383
    1973 1 -1.008285e+00 0.6816846166
    1974 1 4.863330e-01 -0.0116558350
    1975 1 -7.022979e-01 0.7742367691
    1976 1 3.093437e-01 0.2707596966
    1977 1 -1.078647e+00 -0.1883596530
    1978 1 5.902743e-01 0.6246672753
    1979 1 6.584944e-01 1.4193192881
    1980 1 2.048185e+00 -0.9067758246
    1981 1 -1.448530e+00 -0.3987914948
    1982 1 1.267581e+00 1.4135953220
    1983 1 -6.959804e-01 0.2584286770
    1984 1 7.405956e-02 -1.2725183814
    1985 1 4.446582e-02 -0.0753325430
    1986 1 -4.317039e-01 0.0703880778
    1987 1 1.688329e+00 -0.7760323143
    1988 1 1.932779e-01 -1.6246009465
    1989 1 2.666542e-01 0.8940843318
    1990 1 -7.428853e-01 1.4278914745
    1991 1 2.081491e-01 1.8593265851
    1992 1 -8.529617e-01 -0.3979564585
    1993 1 9.235143e-01 0.4129440992
    1994 1 1.354395e+00 -0.2755167794
    1995 1 5.697907e-01 0.8813467819
    1996 1 -2.468826e-02 1.6829380542
    1997 1 6.948899e-01 0.6945449748
    1998 1 -7.752261e-02 0.5096265680
    1999 1 4.085734e-01 0.4243439554
    2000 1 -1.587949e+00 0.0181455085
    attr(,"assign")
    [1] 0 1 2
    
    
    $calc_lik
    function (beta)
    {
     for (n in names(obj$model$submods)) assign(n, eval(get(n)))
     p <- eval(obj$model$boolmod)
     log.p <- log(p)
     log.p1 <- log(1 - p)
     eval(llik)
    }
    <bytecode: 0x5651a922d690>
    <environment: 0x5651a8f58740>
    
    $method
    [1] "BFGS"
    
    $model.fit
    $BFGS
    $BFGS$par
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5
    BFGS -0.2085441
    
    $BFGS$nhatend
     [,1] [,2] [,3] [,4] [,5] [,6]
    [1,] 152.724870 30.350731 78.5240869 95.7768127 127.11743 -10.971630
    [2,] 30.350731 156.269234 -1.5652812 14.0418127 10.66959 -4.423217
    [3,] 78.524087 -1.565281 172.8665894 21.9240707 48.76609 3.315847
    [4,] 95.776813 14.041813 21.9240707 158.7687197 61.88226 -3.110111
    [5,] 127.117432 10.669594 48.7660940 61.8822613 633.64449 49.401769
    [6,] -10.971630 -4.423217 3.3158474 -3.1101106 49.40177 268.091052
    [7,] 4.493651 -6.401603 -0.9885231 0.5891863 3.17210 51.520332
     [,7]
    [1,] 4.4936515
    [2,] -6.4016028
    [3,] -0.9885231
    [4,] 0.5891863
    [5,] 3.1720999
    [6,] 51.5203315
    [7,] 611.6443925
    
    $BFGS$value
    [1] -793.5796
    
    $BFGS$iterations
    [1] NA
    
    $BFGS$conv
    [1] 1
    
    $BFGS$detail
     X.Intercept. x1 x2 x3 X.Intercept..1 x4
    BFGS -1.55604 0.1957866 0.6223986 0.7455059 -0.04884058 1.311676
     x5 value fevals gevals niter convcode kkt1 kkt2 xtimes
    BFGS -0.2085441 793.5796 19 5 NA 1 FALSE TRUE 0.151
    
    
    attr(,"class")
    [1] "boolfit" "list"
    
    attr(,"class")
    [1] "boolean"
    >
    > ## Not run:
    > ##D ## Now estimate model with genoud, a genetic optimizer. This has the
    > ##D ## capability of using multiple processors via parallel.
    > ##D (fit6.OR <- boolean(mod.OR, method="genoud",
    > ##D cluster=c("localhost", "localhost"),
    > ##D print.level=2))
    > ##D
    > ##D ## The default SANN optimizer is also available.
    > ##D (fit7.OR <- boolean(mod.OR, method="SANN"))
    > ## End(Not run)
    >
    > ## The fit is stored as "model.fit", within the boolean object.
    > str(fit.OR$model.fit)
    List of 1
     $ nlminb:List of 6
     ..$ par : num [1, 1:7] -1.96217 0.25416 0.69548 0.99724 0.00689 ...
     .. ..- attr(*, "dimnames")=List of 2
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : chr [1:7] "X.Intercept." "x1" "x2" "x3" ...
     ..$ nhatend : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     ..$ value : num -772
     ..$ iterations: num 42
     ..$ conv : num 0
     ..$ detail :Classes ‘optimx’ and 'data.frame': 1 obs. of 15 variables:
     .. ..$ X.Intercept. : num -1.96
     .. ..$ x1 : num 0.254
     .. ..$ x2 : num 0.695
     .. ..$ x3 : num 0.997
     .. ..$ X.Intercept..1: num 0.00689
     .. ..$ x4 : num 1.7
     .. ..$ x5 : num -0.197
     .. ..$ value : num 772
     .. ..$ fevals : num 54
     .. ..$ gevals : num 408
     .. ..$ niter : num 42
     .. ..$ convcode : num 0
     .. ..$ kkt1 : logi TRUE
     .. ..$ kkt2 : logi TRUE
     .. ..$ xtimes : num 0.539
     .. ..- attr(*, "details")=List of 5
     .. .. ..$ : chr "nlminb"
     .. .. ..$ : num [1:7] 1.23e-05 1.32e-04 -4.30e-05 -1.06e-04 -4.30e-04 ...
     .. .. ..$ : num [1:7, 1:7] 115.5 31.3 63.7 100.2 95.3 ...
     .. .. ..$ : num [1:7] 617 562 246 158 121 ...
     .. .. ..$ : chr "none"
     .. .. ..- attr(*, "dim")= int [1:2] 1 5
     .. .. ..- attr(*, "dimnames")=List of 2
     .. .. .. ..$ : chr "nlminb"
     .. .. .. ..$ : chr [1:5] "method" "ngatend" "nhatend" "hev" ...
     .. ..- attr(*, "maximize")= logi FALSE
     .. ..- attr(*, "npar")= int 7
     .. ..- attr(*, "follow.on")= logi FALSE
     - attr(*, "class")= chr [1:2] "boolfit" "list"
    >
    > ## Create a summary object, saving and printing it. Then take a look at
    > ## the objects stored in the summary object.
    > (smry <- summary(fit.OR))
     Length Class Mode
    call 6 -none- call
    link 2 -none- list
    model 2 -none- list
    N 1 -none- numeric
    k 1 -none- numeric
    coef.labels 7 -none- character
    coef.idx 2 -none- list
    response 2000 -none- numeric
    frame 2 -none- list
    calc_lik 1 -none- function
    method 1 -none- character
    model.fit 1 boolfit list
    > str(smry)
     'summaryDefault' chr [1:12, 1:3] " 6" " 2" " 2" " 1" " 1" " 7" ...
     - attr(*, "dimnames")=List of 2
     ..$ : chr [1:12] "call" "link" "model" "N" ...
     ..$ : chr [1:3] "Length" "Class" "Mode"
    >
    > ## Extract log-likelihood and coefficient vector.
    > logLik(fit.OR)
    Error in UseMethod("logLik") :
     no applicable method for 'logLik' applied to an object of class "boolean"
    Calls: logLik
    Execution halted
Flavor: r-release-linux-x86_64