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2003 Jun 08
2
LDA: normalization of eigenvectors (see SPSS)
...try to reproduce the steps included in a LDA. Concerning the eigenvectors there is
a difference to SPSS. In my textbook (Bortz)
it says, that the matrix with the eigenvectors
V
usually are not normalized to the length of 1, but in the way that the
following holds (SPSS does the same thing):
t(Vstar)%*%Derror%*%Vstar = I
where Vstar are the normalized eigenvectors. Derror is an "error" or
"within" squaresum- and crossproduct matrix (squaresum of the p
variables on the diagonale, and the non-diagonal elements are the sum of
the crossproducts). For Derror the following hold...