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Mplus Discussion > Confirmatory Factor Analysis >
 Mark Smits posted on Tuesday, December 06, 2011 - 7:02 pm
Dear dr Muthen,

I want to compare two models containing continuous and categorical data using CFA (test estimator is WLSMV):

H1: MS by log_HA cWt log_TDL log_MP NAFL
H0: MS by log_HA cWt log_TDL log_MP

However, because H1 has an additional variable, I can't test the difference in Chi2 using Difftest.

I was wondering if it is allowed to keep NAFL in the 'usevariables' in the H0-model. This would mean it is used for test statistics, but not defined in the model. I believe this would mean that NAFL is uncorrelated to the model defined in H0, please correct me if I'm wrong.

If so, I can see them as nested models and use Difftest. If not, I have to rely on qualitative comparison of the other fit parameters.
 Linda K. Muthen posted on Wednesday, December 07, 2011 - 11:48 am
Make the H0 model

H1: MS by log_HA cWt log_TDL log_MP NAFL@0;

Then you can do the difference testing.
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