I'm looking for any reference about Generalized Linear Latent and Mixed Model (GLLAMM) for Crossed Factors involving both Measurement Model and Structured Model of GLLAMM (See the problem below). Any help in this regard will be highly appreciated.
Problem: A researcher observed four responses Y1, Y2, Y3, and Y4 along with three covariates X1, X2, and X3 from an experiment involving ab treatment combinations from a fixed factor A with a levels and a random factor B with b levels. Based on past experience, it is assumed four responses are correlated and Y1 is also influenced by the other three (Y2, Y3, and Y4). This data set can be analyzed by GLLAMM in Stata.