mokken-package {mokken} | R Documentation |
Mokken scale analysis is a scaling procedure for both dichotomous and polytomous items. It consists of an item selection algorithm to partition a set of items into Mokken scales and several methods to check the assumptions of two nonparametric item response theory models: the monotone homogeneity model and the double monotonicity model.
Package: | mokken |
Type: | Package |
Version: | 2.0 |
Date: | 2009-02-19 |
License: | GPL Version 2 or later |
The package contains principal functions for Mokken scale analysis.
Version 0 was introduced in Van der Ark (2007). It included the functions
coefH | Scalability coefficients |
check.monotonicity | Investigate monotonicity assumptions |
check.restscore | Investigate nonintersection assumption using Method Restscore |
check.pmatrix | Investigate nonintersection assumption using Method Pmatrix |
search.normal | Mokken's automated item selection algorithm |
In the current version (2.0) the following functions have been added
aisp | More general automated item selection algorithm. |
Function search has become obsolete |
|
check.reliability | Compute reliability coefficients |
check.iio | Investigate invariant item orderings |
Thanks are due to Daniel van der Palm and J. Hendrik Straat for contributing R code; to Patrick Mair, Rudy Ligtvoet, and J. Hendrik Straat for testing the software; to Michael Dewey, Michael Kubovy, Jue Huang, and Na Yang for reporting bugs; to Robert J. Mokken for lending his last name.
L. Andries van der Ark Maintainer: L. Andries van der Ark <a.vdark@uvt.nl>.
Ligtvoet, R., van der Ark, L. A., The Marvelde, J. M., and Sijtsma (in press) Investigating an invariant item ordering for polytomously scored items. Educational and Psychological Measurement.
Ligtvoet, R., van der Ark, L. A., Bergsma, W. P., and Sijtsma (2009) Polytomous latent scales for the investigation of the ordering of items. Manuscript submitted for publication.
Mokken, R. J. (1971) A Theory and Procedure of Scale Analysis. Berlin, Germany: De Gruyter.
Molenaar, I.W. and Sijtsma, K. (2000) User's Manual MSP5 for Windows [Software manual]. Groningen, The Netherlands: IEC ProGAMMA.
Sijtsma, K, and Molenaar, I. W. (2002) Introduction to nonparametric item response theory. Thousand Oaks, CA: Sage.
Van der Ark, L. A. (2007). Mokken scale analysis in R. Journal of Statistical Software. http://www.jstatsoft.org
# Personality test data(acl) # Select the items of the scale Communality Communality <- acl[,1:10] # Compute scalability coefficients coefH(Communality) # Investigate the assumption of monotonicity monotonicity.list <- check.monotonicity(Communality) summary(monotonicity.list) plot(monotonicity.list) # Investigate the assumption of non-intersecting ISRFs using method restscore restscore.list <- check.restscore(Communality) summary(restscore.list) plot(restscore.list) # Investigate the assumption of non-intersecting ISRFs using method pmatrix pmatrix.list <- check.pmatrix(Communality) summary(pmatrix.list) plot(pmatrix.list) # Investigate the assumption of IIO using method MIIO iio.list <- check.iio(Communality) summary(iio.list) # Compute the reliability of the scale check.reliability(Communality) # Partition the the scale into mokken scales aisp(Communality)