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What approaches are there to perform FA on data that is clearly ordinal (or nominal for that matter) by nature? Should the data be transformed our are there readily available R packages that can handle this format? What if the data is of a mixed nature, containing both numerical, ordinal and nominal data?

The data is from a survey where subjects have answered questions of many types: yes/no; continuous; scales. My aim is to use FA as a method for analyzing the underlying factors. I do not yet know what factors I'm looking for. However, condensing the underlying factors into a manageable number of factors is important.

EDIT: Also, can I approximate a survey question answered on the Likert-type scale as a continuous variable?

Thank you.

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    $\begingroup$ If you look at the Related threads on the right hand side there are several that appear to answer very similar (if not identical) questions. Such as this one and this one. $\endgroup$ – Andy W Jun 14 '11 at 13:31
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    $\begingroup$ I've edited your title; the question about nominal data is important in that it's why this question is not a duplicate. $\endgroup$ – JMS Jun 14 '11 at 13:53
  • $\begingroup$ @JMS Given that the nominal data would have to be represented as dummy indicators, doesn't that point us right back to the question about factor analysis of dyadic data? $\endgroup$ – whuber Jun 14 '11 at 14:18
  • $\begingroup$ For what it's worth, my vote would be to modify the question to extract the unique elements: i.e., (a) how to factor analyse data that is based on a mixture of different data types, and (b) how to factor analyse nominal data. @whuber I suppose approaches like optimal scaling of nominal data are an alternative to dummy indicators. (@Figaro are you able to update the question to make it a non-duplicate?) $\endgroup$ – Jeromy Anglim Jun 14 '11 at 14:58
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    $\begingroup$ Also, an example of handling nominal data with a discrete-choice type specification is given here, for example. $\endgroup$ – JMS Jun 14 '11 at 16:50
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Particularly if you have nominal indicators along with the ordinal & continuous ones, this is probably a good candidate for latent class factor analysis.

Take a look at this -- http://web.archive.org/web/20130502181643/http://www.statisticalinnovations.com/articles/bozdogan.pdf

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We're looking for long answers that provide some explanation and context. Don't just give a one-line answer; explain why your answer is right, ideally with citations. Answers that don't include explanations may be removed.

  • $\begingroup$ Link is broken. Would appreciate if you update it. Thanks $\endgroup$ – MYaseen208 Nov 13 '15 at 13:44
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    $\begingroup$ Here's an Internet Archive cache of the PDF linked in dmf38's answer (since I can't comment on answers yet): web.archive.org/web/20130502181643/http://… $\endgroup$ – user98098 Dec 13 '15 at 19:13
  • $\begingroup$ The link should work now, I have added an archived version. $\endgroup$ – Silverfish Dec 13 '15 at 19:26
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FactoMineR is a nice package for Factor Analysis on mixed variables.

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We're looking for long answers that provide some explanation and context. Don't just give a one-line answer; explain why your answer is right, ideally with citations. Answers that don't include explanations may be removed.

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