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Mplus Discussion > Structural Equation Modeling >
 Christine Yu posted on Friday, May 09, 2014 - 7:54 am

If I am doing a MGA SEM where the full model has an interaction term (used type = random) and the simple model has the interaction term (used type = general), how do I do a model comparison since the full model's output does not include Chi-square Test of Model Fit info?
 Christine Yu posted on Friday, May 09, 2014 - 8:12 am
Update questions:

Am I correct to say I have 3 df given the below output, and I can do a loglikelihood difference Chi Square test by subtracting the absolute value of the LL of my full model from the LL of my simple model and use the critical Chi-square of 3 df to determine significance or not?

As it stands, it looks to me that the interaction model is no worse a fitting model than the simple model?

Does this even make sense to do this "general" a model comparison for a MGA SEM where Roman Catholics are set up as the reference group to which Mainline Protestants and Evangelicals are compared?



Number of Free Parameters 46


H0 Value -6486.941
H1 Value -6388.825

Information Criteria

Akaike (AIC) 13065.883
Bayesian (BIC) 13263.550
Sample-Size Adjusted BIC 13117.529
(n* = (n + 2) / 24)

MODEL FIT INFORMATION (Full model with interaction)

Number of Free Parameters 49


H0 Value -6484.429

Information Criteria

Akaike (AIC) 13066.858
Bayesian (BIC) 13277.416
Sample-Size Adjusted BIC 13121.872
(n* = (n + 2) / 24)
 Linda K. Muthen posted on Friday, May 09, 2014 - 8:56 am
-2 times the loglikelihood difference is distributed as chi-square.

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