I did a multigroup CFA on categorical data and I had 2 questions about the output:
1. If I get a chi-square with p-value=0.000, CFI=.989, TLI=.992, RMSEA=.015 and WRMR=1.530, can I then conclude that it was a good fit? The p-value and the rest of the statistics seem to contradict each other here..
2. Where can I see the factor loadings that can be compared to the loadings that an EFA gives for the same data?
1. You don't mention your sample size. If it is very large, chi-square can be sensitive as it is a test of exact fit. You can do a sensitivity analysis by freeing the parameters until you obtain an acceptable p-value. If the original model results have not changed, you can assume that chi-square was sensitive to large sample size.
2. Compare to the factor loadings you obtain from the STDYX standardization.
Abdel posted on Tuesday, April 08, 2008 - 11:58 am
I had a sample size of about 7000, and compared four groups within that sample with the multigroup CFA of about 900, 1000, 2000 and 3000..
Dear Dr. Muthén, I performed a CFA analysis with MLR (N=1180) on 26 items and 5 factors. RMSEA (0.048 p=0.896) and SRMR (0.057) indicate good fit, but CFI (0.896) is not acceptable. What should I conclude from it? Is there any other index that I should add?