print.edr {EDR}R Documentation

Print information for objects produced by function edr.

Description

The function provides information on the estimated effective dimension reduction (EDR) space.

Usage

print.edr(x, m = 1, R = NULL, ...)

Arguments

x Object of class "edr".
m Dimension of the effective dimension reduction (EDR) space. m=1 corresponds to single index models, m>1 specifies a multiindex model. Determines the number of eigenvectors and cumulative eigenvalues to show.
R If code R specifies a matrix (dimension c(k,d), k>=m, d=dim(x$x)[2], this matrix is interpreted as spanning the true EDR space. Two distances between the estimated EDR space and the space spanned R[1:m,] are computed.
... Additional parameters will be ignored

Details

Provides information on the estimated effective dimension reduction (EDR) space. The first m basis vectors and the cummulative sum of normalized eigenvalues of matrix object$bhat are given. If R is specified the distance

||R (I- hat{P}_m)||/||R||

and the distance specified by Li (1992) are computed.

Value

Returns invisible{NULL}.

Author(s)

Joerg Polzehl, polzehl@wias-berlin.de

References

M. Hristache, A. Juditsky, J. Polzehl and V. Spokoiny (2001). Structure adaptive approach for dimension reduction, The Annals of Statistics. Vol.29, pp. 1537-1566.
J. Polzehl, S. Sperlich, V. Spokoiny (2006). Estimating Generalized Principle Components, Manuscript in preparation.
K.-C. Li (1992). On principal Hessian directions for data visualization and dimension reduction: another application of Stein's lemma, JASA, Vol. 87, pp. 1025-1039.

See Also

edr, edr.R, summary.edr, plot.edr

Examples

require(EDR)
## Not run: demo(edr_ex1)
## Not run: demo(edr_ex2)

[Package EDR version 0.6-2.2 Index]