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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
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Li, Yuan H.; Lissitz, Robert W. – Journal of Educational Measurement, 2004
The analytically derived asymptotic standard errors (SEs) of maximum likelihood (ML) item estimates can be approximated by a mathematical function without examinees' responses to test items, and the empirically determined SEs of marginal maximum likelihood estimation (MMLE)/Bayesian item estimates can be obtained when the same set of items is…
Descriptors: Test Items, Computation, Item Response Theory, Error of Measurement