Robert Henson

Department of Educational Research Methodology

University of North Carolina at Greensboro


Markov Chain Monte Carlo Estimation for a Family of Cognitive Diagnosis Models

Cognitive diagnosis models are a set of constrained latent class models in which classes are determined by mastery or non-mastery of a set of dichotomous latent variables, or skills. Because of the possibility of additional information that may improve learning, cognitive diagnosis models hold great potential. Specifically, by knowing each examinee's skills, tailored lesson plans can be used, which can make teaching more effective. This talk first provides a general overview of cognitive diagnosis models. Then, using a log-linear model for latent variables (Hagenaars, 1993), a family of cognitive diagnosis models is defined and the relationships between many common models are analytically expressed. Finally, the estimation of this model using Markov chain Monte Carlo is discussed and a small example is provided.


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