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Peer reviewedMuraki, Eiji; Carlson, James E. – Applied Psychological Measurement, 1995
A full-information item factor analysis model for multidimensional polytomously scored item response data is developed as an extension of previous work by several authors. The model is expressed in factor-analytic and item response theory parameters, and an EM algorithm for estimation of the model parameters is presented. (SLD)
Descriptors: Estimation (Mathematics), Item Response Theory, Likert Scales, Models
Direct linkHabing, Brian; Finch, Holmes; Roberts, James S. – Applied Psychological Measurement, 2005
Although there are many methods available for dimensionality assessment for items with monotone item response functions, there are few methods available for unfolding item response theory models. In this study, a modification of Yen's Q3 statistic is proposed for the case of these nonmonotone item response models. Through a simulation study, the…
Descriptors: Data Analysis, Simulation, Multidimensional Scaling, Item Response Theory
Yao, Lihua; Schwarz, Richard D. – Applied Psychological Measurement, 2006
Multidimensional item response theory (IRT) models have been proposed for better understanding the dimensional structure of data or to define diagnostic profiles of student learning. A compensatory multidimensional two-parameter partial credit model (M-2PPC) for constructed-response items is presented that is a generalization of those proposed to…
Descriptors: Models, Item Response Theory, Markov Processes, Monte Carlo Methods
