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Is it possible to use exploratory factor analysis to extract four factors, and then combine these four factors (i.e. the factor scores for each observation) into a composite scale?

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    $\begingroup$ Look into second order (or higher order) factor analysis. I think this is what you are looking for. $\endgroup$ – Jeremy Miles Feb 12 '14 at 23:44
  • $\begingroup$ This is another instance of this question: stats.stackexchange.com/questions/133492 I don't think you can meaningfully combine several factor/PC scores. $\endgroup$ – amoeba Jan 19 '17 at 16:44
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Yes, you can. Exploratory factor analysis aims to reducing data to a smaller set of summary variables... which are not the initial factors. But, depending on the EFA you used, you can use, for instance, a linear model based on the EFA score to reduce some factors in one. But, you should discrib a little bit more what analysis you think to use.

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    $\begingroup$ This is perhaps more of a comment than an actual answer. Perhaps you could develop your answer a little bit (e.g. detail what the "linear model" would be, give an example, etc.), or move your answer to the commentary section. $\endgroup$ – Patrick Coulombe Feb 12 '14 at 17:16
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    $\begingroup$ You're right, but I need 50 reputation to comment. $\endgroup$ – Leon-Alph Feb 12 '14 at 17:19
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    $\begingroup$ And I found this: stats.stackexchange.com/questions/22665/… $\endgroup$ – Leon-Alph Feb 12 '14 at 17:41

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