# Are composite factor scores produced by PCA are automatically standardize?

I have done a Principal Component Analysis (rotated factors, varimax, etc.) which gave me 6 factors (F1, F2, F3, F4, F5, and F6). From this PCA, I saved the factor scores for regression (In SPSS, I used during my Factor Analysis: Scores| Save as variables| Regression). From what I understand, the regression factor scores in SPSS are standardized, with a mean = 0 and Std deviation = 1 (correct me if I’m wrong). The output of the regression factors are as follow;

Descriptive Statistics
N   Range   Minimum Maximum Sum Mean    Std. Deviation
REGR factor score   1 for analysis 1    3063    11.01315    -6.39267    4.62048 .00000  .0000000    1.00000000
REGR factor score   2 for analysis 1    3063    11.32547    -2.29925    9.02622 .00000  .0000000    1.00000000
REGR factor score   3 for analysis 1    3063    9.35187 -5.19720    4.15467 .00000  .0000000    1.00000000
REGR factor score   4 for analysis 1    3063    11.58979    -4.17394    7.41585 .00000  .0000000    1.00000000
REGR factor score   5 for analysis 1    3063    23.94514    -4.10727    19.83787    .00000  .0000000    1.00000000
REGR factor score   6 for analysis 1    3063    11.26989    -2.97190    8.29799 .00000  .0000000    1.00000000
Valid N (listwise)  3063


Is it normal to have a result like above? Are the composite factor scores produced by SPSS are standardized?

Then I used the 6 factors as my independent variables along with other SES variables to explain BMI in multiple regression. How do I check for the absence of multicollinearity of the 6 factors, since r = 0?

• Are the composite factor scores produced by SPSS are standardized? 1) Yes, they are (always produced as) standardized - don't you see it?. 2) What do you mean saying "composite" here? If this is your word for "weighted sum" or "linear combination" then it is all right. – ttnphns Apr 21 '15 at 9:42
• SPSS saves PC scores standardized. But since you know component variances (the eigenvalues) you can always compute raw component scores out of standardized ones. – ttnphns Apr 21 '15 at 9:44