

Comparing nonnested SEM wlsmv 

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Dear Drs. Muthen, I'm testing two alternative nonnested full SEM: in the first model, A affects C directly and indirectly through B; in the second model, A affects B directly and indirectly through C. As B is a categorical dicothomous variable, WLSMV is the estimator. I have two questions: 1 Is it possible to use a categorical variable as a mediator? 2 How can I compare the two alternative models? I cannot use the DIFFTEST, because the two models are not nested, and in the output I do not have indices such as Akaike, because of the estimator, I suppose. Thanks a lot for your help 


1) Yes. See our Mediation Analysis webpage and the heading Counterfactual causal effects for mediation modeling 2) Both models are justidentified/saturated and cannot therefore be rejected by overall model fit tests. Typically, the causal order of variables cannot be determined by statistical analysis. 


Dear Dr. Muthen, thanks a lot for your reply. I would like to ask some clarifications  could I use MLR as estimator, instead of WLSMV?  regarding your answer to my second question, I would like to add some specifications. In my previous post I tried to be as concise as possible, however my models are much more complex than I described. I have 3 independent continous latent variables (each one of them has two indicators); another continous latent variable (with two indicators) that is the mediator in the first model, and the independent variable in the second, alternative model; a dichotomous categorical observed variable (i.e. belonging to group1 or group2), that is the independent variable in the first model, and the mediator in the second, alternative model; finally, I have three observed covariates. Thus each model is correctly overidentified, with 38 degrees of freedom. Does this means that I coul use some test to compare the two models? Fit indices were very similar, chisquared were just a bit higher in the alternative model I apologize if I have not correctly understood your reply, I am new in using MPLUS. Thanks for your help 


You can use MLR instead of WLSMV but because you have categorical variable you won't get an overall fit index. And the directions of influence from one variable to another can still not be determined statistically. 

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