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Bogan, Evelyn Doody; Yen, Wendy M. – 1983
Four multidimensional data configurations and one unidimensional data configuration were simulated for three differences in mean difficulty between two tests to be equated. Two chi-square statistics, Q1 and Q2, were examined for their ability to detect multidimensionality. Results indicated that Q1 did not discriminate between any of the…
Descriptors: Difficulty Level, Equated Scores, Goodness of Fit, Latent Trait Theory
Peer reviewed
Direct linkYao, 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
