I combined a factor model with Bradley Terry type indicators, model3.stan (3.1 KB). Each indicator is an ordinal measure on a symmetric 5-point scale (“much more”, “somewhat more”, “equal”, “somewhat less”, and “much less”). How would this be used? imagine that a bunch of people play a bunch of different board games like chess, checkers, othelo, etc. Various people win, lose, and tie matches. Using the attached model, each person gets a latent absolute ranking on a game (theta; chess ranking, checkers ranking, etc) and then these rankings are fed into a factor model to estimate a latent “board game ability” (flow).

My question is whether bayesplot has some posterior predictive checks that would be applicable to this kind of model. Are PPC-discrete the only methods available?