I'm running a multiple group SEM model with two latent variables and one observed variable. The latent factors have binary outcomes. When I fit the model, the chi-square p-value is zero and the CFI=1.00, TLI= 1.03 and RMSEA=0.000. I'm not sure how to interpret this. Should I be concerned that they are so high?
I donít believe the model is just identified. According to the output I have it says I have 23 free parameters and my Chi-square has 6 degrees of freedom. The first model I ran (ignored groups) and the fit statistics seemed fine: Chi-square (3) = 8.557, CFI = .914, RMSEA = .1. I then fit the same model to each group and two of the groups separately and reported fit statistics of CFI = 1 and RMSEA = 0, whereas the third group fit statistics indicated poor fit (e.g., not CFI=1).
Would there be something that commonly causes the CFI to equal 1 and the RMSEA to equal 0 when factor indicators are categorical? When I run any of the models without a categorical statement, I donít have this problem.