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Factor analysis is a dimensionality reduction latent variable technique which replaces inter-correlating variables with a smaller number of continuous latent variables called factors. The factors are believed to be responsible for the inter-correlations. [For confirmatory factor analysis, please use the tag 'confirmatory-factor'. Also, the term "factor" of factor analysis should not be confused with "factor" as categorical predictor of a regression/ANOVA.]

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How is a bifactor IRT model different from a factor analysis?

In several ways, they really aren't any different. A confirmatory bifactor model using IRT is really just a full-information method to deal with categorical data directly, rather than the limited info …
philchalmers's user avatar
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6 votes
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Is it always better to extract more factors when they exist?

The issue you're alluding to is the 'approximate unidimensionality' topic when building psychological testing instruments, which has been discussed in the liturature quite a bit in the 80's. The inspi …
philchalmers's user avatar
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3 votes

What's the criteria of deleting item?

Your question is closely linked to the one found here relating to the magnitude of slopes in order to determine if an item contributes a meaningful amount of information (I assume you meant to say sta …
philchalmers's user avatar
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1 vote

Can I do parallel analysis with any type of exploratory factor analysis/principal component ...

Check out the fa.parallel() function in R's psych package by William Revelle since it does this with various extraction methods, one of which can be by ML (the default I believe is 'minres'). Hope tha …
philchalmers's user avatar
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2 votes

How to reduce number of items using factor analysis, internal consistency, and item response...

All three of your suggested criteria actually could be performed in IRT, more specifically multidimensional IRT. If your sample size is fairly large would probably be a consistent way to go about it f …
philchalmers's user avatar
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