In my research I have two groups of participants: addicts and healthy young people (controls).
I seek to identify latent classes based on genotype polymorphism (categorical), epigenetic changes (continuous) and experience of childhood trauma (continuous) and parental styles (continuous). The assumption would be that different subpopulations have different disease risks that we can measure through different proportions among cases and controls.
Can I do a LCA on a single combined sample of addicts and controls to identify specific subpopulations (latent classes) and latter check for proportions of latent classes among cases and controls?
If so should I include only geno,epi,trauma,parent indicators without group membership variable? Or do I include group variable as indicator also?
In not, should I alternatively run two different LCA each on its own population?
Any other suggestions?