Chi-square and related fit statistics are available when means, variances, and covariances are sufficient fit statistics for model estimation. This is not the case with numerical integration. Nested models can be compared using -2 times the loglikelihood difference which is distributed as chi-square. Non-nested models with the same set of dependent variables can be compared using BIC.
shuang posted on Tuesday, August 19, 2014 - 11:58 pm
Thank you very much. Could you pls provide references to test moderation (and associated -2 times the loglikelihood difference)? Very much appreciated!