# [R] Orthogonalization with different inner products

Michael Friendly friendly at yorku.ca
Thu Nov 4 13:34:16 CET 2010

```See gsorth() in the heplots package.

On 11/3/2010 1:55 PM, adetzel at uw.edu wrote:
> Suppose one wanted to consider random variables X_1,...X_n and from each subtract off the piece which is correlated with the previous variables in the list. i.e. make new variables Z_i so that Z_1=X_1 and Z_i=X_i-cov(X_i,Z_1)Z_1/var(Z_1)-...- cov(X_i,Z__{i-1})Z__{i-1}/var(Z_{i-1})  I have code to do this but I keep getting a "non-conformable array" error in the line with the covariance.  Does anyone have any suggestions?  Here is my code:
>
>
> gov1=gov[3:length(gov[1,])]
> n_indices=length(names(gov1))
>
> x=data.matrix(gov1)
>
>
> v=x
> R=matrix(rep(0,length(x[,1])*length(x[1,])),length(x[,1]))
>
> for(j in 1:n_indices){
>     u=matrix(rep(0,length(v[,1])),length(v[,1]))
>
> for(i in 1:j-1){
>     u = u+cov(v[,j],v[,i])*v[,i]/var(v[,i])                #(error here)
>     }
>     v[,j]=v[,j]-u
>
> }
>
> Thanks,
>                  Andrew
>
>
>
> 	[[alternative HTML version deleted]]
>

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Michael Friendly     Email: friendly AT yorku DOT ca
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