I am trying to model credit risk for retail loans, with my dependent variable being a default flag. I have 15 independent factors, which I need to cut down, using principal component analysis. While I have conducted PCA, I am not really sure as to how do I identify the final variables based on the principal factors generated. The PCA output results in generation of 7 principal factors, as also component matrix containing the Coefficient of Principal Component Score of Variables. Can I group the variables having high correlation for each of the principal factors and use these for regression (say log regression)? If the preceding statement is correct, how do I identify the most relevant variable within each group that I can further shortlist for regression.
Edit: Thanks for the prompt revert guys, really appreciate it. Let me state some more details I am actually working with a very large number of variables (92 to be precise) and hence using a correlation matrix may be very tedious. I essentially what to find out which variables have similar corelation to default and hence select one of these, from various groups of related variables. And in turn, use the most suitable set of original variables (not factors of variables) for log regression. Is there an alternative approach to achieve the same, if not PCA.
@amoeba: I not trying to use the original variables here, while the similar thread you shared does not really answer what I am asking.