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    $\begingroup$ The principal components analysis and factor analysis chapters in the following book, which is available in most college libraries, address your question exactly: apa.org/pubs/books/4316510.aspx $\endgroup$ Commented Oct 9, 2013 at 7:11
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    $\begingroup$ In addition to the answers below you might also read this and this of mine. $\endgroup$ Commented Apr 24, 2014 at 22:36
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    $\begingroup$ And another good question like "should I use PCA or FA": stats.stackexchange.com/q/123063/3277. $\endgroup$ Commented Nov 7, 2014 at 14:21
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    $\begingroup$ @ttnphns: I would encourage you to issue an answer in this thread, perhaps consisting of an annotated list of your answers in other related threads. This could replace your comments above (currently four comments with links), and would be more practical, especially if you briefly annotated each link. E.g. look here for the explanation of this issue, look there for an explanation of that issue, etc. It is just a suggestion, but I believe this thread would greatly benefit from it! One particular advantage is that you can always add more links to that answer. $\endgroup$ Commented Feb 5, 2015 at 15:25
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    $\begingroup$ A similar question was asked on MathOverflow, and received what I would consider an excellent answer: mathoverflow.net/questions/40191/… $\endgroup$ Commented Apr 11, 2018 at 9:59