Parallel analysis and bifactor EFA PreviousNext
Mplus Discussion > Exploratory Factor Analysis >
 Philippe Golay posted on Friday, September 28, 2012 - 11:52 am
I wonder whether the ideal number of factor to retain with a bifactor efa is N or N+1, given N is the number of factor suggested by parallel analysis. Because a perfect 5 factor oblique structure would be best recovered by 6 (and not 5) factors with a bi-factor efa (1 general & 5 specific). What would you recommend ?

Best regards

 Bengt O. Muthen posted on Monday, October 01, 2012 - 3:15 pm
Bi-factor EFA with 1 general and m-1 specific factors has the same model fit (same ML loglikelihood and number of parameters) as an m-factor regular EFA. So bi-factor EFA with a total number of m factors is just a different rotation than the m-factor EFA.

In your case, if you have perfect fit for 5 EFA factors, you would also have that same perfect fit for a bi-factor model with 1 general and 4 specific factors. So, if parallel analysis suggests 5 factors, you can go with bi-factor using 1 general and 4 specifics; i.e. asking for 5 factors when doing bi-factor EFA.
 Philippe Golay posted on Tuesday, October 02, 2012 - 6:28 am
Thank you very much. That makes a lot of sense.
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