Residual analysis (e.g. Hambleton & Swaminathan, Item response theory: principles and applications, Kluwer Academic, Boston, <CitationRef CitationID="CR20">1985</CitationRef>; Hambleton, Swaminathan, & Rogers, Fundamentals of item response theory, Sage, Newbury Park, <CitationRef CitationID="CR21">1991</CitationRef>) is a popular method to assess fit of item response theory (IRT)...</citationref></citationref>

This article presents an application of a stochastic approximation expectation maximization (EM) algorithm using a Metropolis-Hastings (MH) sampler to estimate the parameters of an item response latent regression model. Latent regression item response models are extensions of item response...

Generalized residuals are a tool employed in the analysis of contingency tables to examine possible sources of model error. They have typically been applied to log-linear models and to latent-class models. A general approach to generalized residuals is developed for a very general class of...