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Wang, Wen-Chung; Wilson, Mark; Shih, Ching-Lin – Journal of Educational Measurement, 2006
This study presents the random-effects rating scale model (RE-RSM) which takes into account randomness in the thresholds over persons by treating them as random-effects and adding a random variable for each threshold in the rating scale model (RSM) (Andrich, 1978). The RE-RSM turns out to be a special case of the multidimensional random…
Descriptors: Item Analysis, Rating Scales, Item Response Theory, Monte Carlo Methods
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

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