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Kuo, Tzu-Chun – ProQuest LLC, 2015
Item response theory (IRT) has gained an increasing popularity in large-scale educational and psychological testing situations because of its theoretical advantages over classical test theory. Unidimensional graded response models (GRMs) are useful when polytomous response items are designed to measure a unified latent trait. They are limited in…
Descriptors: Item Response Theory, Bayesian Statistics, Computation, Models
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de la Torre, Jimmy; Douglas, Jeffrey A. – Psychometrika, 2008
This paper studies three models for cognitive diagnosis, each illustrated with an application to fraction subtraction data. The objective of each of these models is to classify examinees according to their mastery of skills assumed to be required for fraction subtraction. We consider the DINA model, the NIDA model, and a new model that extends the…
Descriptors: Markov Processes, Identification, Goodness of Fit, Subtraction