Dear All, 

I have four independent variables X1s X2s X3s X4s and one dependent
variable Ys. All of them are mean-centered and variance-scaled.  I
performed factor analysis using principal component extraction with
Varimax rotation and 4 factors were extracted. (I'll reduce the number
of factors later.  For this question 4 factors were extracted.)

The 4 factor scores (fs1 fs2 fs3 fs4) were computed and Ys was
regressed on the 4 factor scores.  I'm wondering how the principal
component regression (PCR) can re-expressed with the four independent
variables instead of the 4 factor scores.

For example, let's say the PCR equation is Ys = 0.000 + 0.472*fs1 +
0.352*fs2 + 0.343*fs3 - 0.419*fs4. If I replace the fs1 with factor
score coefficients (FSC) for factor 1, fs2 with FSC for factor 2, and
so forth, would I get the coefficients for the four independent
variables ?

I appreciate any help. 

Sangdon Lee, Ph.D.,
GM Tech. Center.
[EMAIL PROTECTED]
.
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