How can I obtain the correlation between the factors after an oblique rotation?
| Title |
|
Correlations between factors after oblique rotation |
| Authors |
Gene Fisher, Department of Sociology, University of Massachusetts
Kenneth Higbee, StataCorp |
| Date |
April 1999; minor revisions March 2001 |
After factor analysis (the
factor
command), you can obtain several matrices using the
matrix get
command (see [P] matrix get). These matrices include
Ld factor loadings
Ev eigenvalues
Psi uniqueness
Co correlation matrix
SD standard deviations
Mean means
In addition after rotation (the rotate command), you can obtain
L factor loadings after rotation
The correlation matrix of the rotated factors can be computed as
Phi = T*T'
where
T = inverse(L'*L) * L'*A
L = the factor loadings matrix after rotation
A = the factor loadings matrix before rotation
So to obtain the correlation matrix of the rotated factors you
. factor ...
. rotate ...
. mat L = get(L)
. mat T = syminv(L'*L)*L'*get(Ld)
. mat Phi = T*T'
. mat list Phi
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