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von Davier, Matthias; Sinharay, Sandip – Journal of Educational and Behavioral Statistics, 2010
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 theory (IRT) to a latent variable model with covariates…
Descriptors: Item Response Theory, Statistical Analysis, Regression (Statistics), Models
Sinharay, Sandip; Almond, Russell G. – Educational and Psychological Measurement, 2007
A cognitive diagnostic model uses information from educational experts to describe the relationships between item performances and posited proficiencies. When the cognitive relationships can be described using a fully Bayesian model, Bayesian model checking procedures become available. Checking models tied to cognitive theory of the domains…
Descriptors: Epistemology, Clinical Diagnosis, Job Training, Item Response Theory