Winbugs and Jags free Item Response Theory from the dot matrix plots of proprietary software and open up a multicoloured world of posterior predictive model checking. Fitting IRT models using brute force is not for the impatient, however. That’s why, just as early psychometricians shipped off their calculations to teams of monks. I’ve shipped off my model fitting to...

Zero Inflated Models and Generalized Linear Mixed Models with R.
Zuur, Saveliev, Ieno (2012).