A new variant of the iterative "data = fit + residual" data-analytical approach described by Mosteller and Tukey is proposed and implemented in the context of item response theory psychometric models. Posterior probabilities from a Bayesian mixture model of a Rasch item response theory model and an unscalable latent class are expressed…

"Evidence-centered design" (ECD) is a comprehensive framework for describing the conceptual, computational and inferential elements of educational assessment. It emphasizes the importance of articulating inferences one wants to make and the evidence needed to support those inferences. At first blush, ECD and "educational data…

Advances in cognitive psychology deepen the understanding of how students gain and use knowledge and broaden the range of performances and situations researchers want to see to acquire evidence about students' developing knowledge. Advances in technology make it possible to capture more complex performances in assessment settings by including, as…