I was wondering if it was possible to have both a set of continuous latent factors indicated by a set of items and set of categorical latent factors measured by a separate set of indicators where both the continuous and categorical latent variables are predictors of another variable?
When you say categorical latent factor, do you mean a factor with categorical factor indicators or do you mean a categorical latent variable as used in latent class analysis or mixture modeling to capture unobserved classes.
So for example, I have a continuous factor f that is measured by items i_1 through i_5 and a latent class variable c with say three classes measured by items i_10 through i_30 and now I want to know what the syntax would be to perform a regression of another variable Y on f and c
It doesn't show in the Model specification because this is handled by default. You can see what Mplus does by looking either at the estimates or TECH1. TECH1 will show you thresholds/intercepts for the c indicators and for your y variable that vary across the latent classes.