I am working on a project and need help with how to set up the syntax. We are looking at longitudinal data, specifically the interaction of two growth curves on the growth curve of an outcome. For instance, how the trajectory of life satisfaction moderates the relationship between the trajectory of financial status and the trajectory of happiness. We are expecting that if life satisfaction is improving over time, then the even if financial status is worsening, the improvement of life satisfaction will mitigate the effects on happiness. How would I go about setting up a model to test these types of interactions?
Chi-square and related fit statistics are not available when means, variances, and covariances are not sufficient statistics for model estimation. This is the case with numerical integration. Nested models can be tested using -2 times the loglikelihood difference which is distributed as chi-square.