# [R] Orthoblique rotation on eigenvectors (SAS VARCLUS)

Frank Harrell f.harrell at vanderbilt.edu
Sun Apr 10 18:52:07 CEST 2011

```See the varclus function in the Hmisc package.
Frank

Axel Urbiz wrote:
>
> Hi All,
>
> I'd like to build a package for the community that replicates the output
> produced by SAS "proc varclus". According to the SAS documentation, the
> first few steps are:
>
> 1. Find the first two principal components.
> 2. Perform an orthoblique rotation (quartimax rotation) on eigenvectors.
> 3. Assign each variable to the rotated component with which it has the
> higher
>    squared correlation.
> The cartoon example below attempt to do this, but I found my results
> differ
> from SAS in "pc3" (i.e,  the standardize component scores).
>
> I'd appreciate your help in whether you see anything wrong in "pc2" or
> "pc3"?
>
> set.seed(1)
> x1=rnorm(200); x2=0.9*x1; x3=0.7*x1; x4=x1*x1; x5=x1*x1*x1;
> x6=rnorm(200); x7=0.9*x6; x8=0.7*x6; x9=x6*x6; x10=x6*x6*x6;
> x <- cbind(x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
>
> require(GPArotation)
> pc1 <- princomp(x, cor = TRUE, scores = TRUE)
> pc3 <- scale(x%*% pc2)
> pc4 <- apply(x, 2, function(x) cor(x, pc3)^2)
>
> Thanks in advance for any help!
>
> Axel.
>
> 	[[alternative HTML version deleted]]
>
> ______________________________________________
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> and provide commented, minimal, self-contained, reproducible code.
>

-----
Frank Harrell
Department of Biostatistics, Vanderbilt University
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