I would like to do a confirmatory latent class cluster analyses (finite mixtures) with a continuous and several categorical variables. I know how I can constrain binary variables (such as Cluster A has got more males than B) using Mplus (Thanks to "Conducting Confirmatory Latent Class Analysis Using Mplus" by W. Holmes Finch) but I do not know how to do this with a continuous outcome variable (e.g. Age in cluster A is < B < C = D). I checked the Mplus website and their FAQ/discussion sites but could not find anything.
You could include the mean in each cluster:
%c#1% [age*] (age_c1) ; %c#2% [age*] (age_c2) ;
And than include a constraint:
Model Constraint: age_c1 < age_c2 ;