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taw comments on The Machine Learning Personality Test - Less Wrong
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PCA as used in psychology basically tells you that you're asking the same question in a subtly different way, it has nothing to do with this being important. If you include many variants of the same question in your test, you will get exactly what you wanted in results of PCA.
True. It relies on your asking a "random sample" of questions.
And if we use lack of correlation between questions as indicator of their randomness, PCA won't give us any factors at all for truly random ones.
That's one of the reasons I don't have any faith in the Big Five Personality Traits.