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SPSS
R

There is a video that demonstrates how to perform and interpret a logistic regression in SPSS on youtube:

http://www.youtube.com/watch?v=OvQShzJ7Sns

factor analysis - SPSS
R

Within SPSS, the only option for principal component analysis is 'principal component analysis' (PCA). All other options are factor analysis. Principal Axis factor is probably the most commonly used factor analysis method used in SPSS, however, maximum likelihood is probably the best alternative, given the power of computers these days.

You might want to check out these videos that do a PCA in SPSS and a maximum likelihood FA in SPSS.

http://www.youtube.com/watch?v=qu4la8K212M

http://www.youtube.com/watch?v=iDT0tjU1TWo