Can R perform sem models (with generalized outcomes; mine are binary) and give me some kind of model fit, such as something analogous to the RMSEA or CFI that you'd get in sem with continuous outcomes?
I have four waves of data and I'm examining employment status and rearrest as endogenous outcome variables. I have built and run a generalized structural equation model (-gsem-) in stata. All is well with the model, except I can't evaluate the model as a whole. Of course there are smaller tests that compare models such as the AIC/BIC, likelihood ratio tests, Wald, but these only compare models as opposed to evaluating the fit.
So my questions are: (1) does R do gsem (non-continuous outcomes) and have a way of evaluating the overall model? (2) if it does not have a way of evaluating the model overall, what should I present in a report along with the obvious findings? and (3) anyone familiar with any papers that have used sem with generalized outcomes? I've searched and can't find any published or unpublished. I imagine looking at one and seeing what they report would be very helpful.
Thank very much.