We also estimated the neighboring two- and four-class
parametric random effects models.With the addition of the random effects, the three-class model still appears to be the best model.
The BIC shows a large decline from two classes to three, and a much smaller decline from three classes to four. Moreover, entropy is maximized with three classes and the fourth class produced in the four-class solution is not well distinguished from one of the other classes.It should be noted that more research is needed to understand the performance of BIC in multilevel latent class models.