A common method of checking person-fit in Bayesian item response theory (IRT) is the posterior-predictive (PP) method. In recent years, more powerful approaches have been proposed that are based on resampling methods using the popular L*[subscript z] statistic. There has also been proposed a new Bayesian model checking method based on pivotal…

Multiple matrix sampling of items and examinees was applied to an 18-item rank order instrument administered to a randomly assigned group and compared to the ordering and ranking of all items by control subjects. High correlations between ranks suggest the methodology may viably reduce respondent effort on long rank ordering tasks. (Author/CM)

A general longitudinal model is presented for estimating school effects and their stability. The model, capable of separating true changes from sampling and measurement error, controls statistically for effects of factors exogenous to the school system. The model is illustrated with data from large cohorts of students in Scotland. (SLD)