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Educational and Psychological Measurement
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Group Differences Based on Irt Scores: does the Model Matter?

Christine DeMars

James Madison University

In this study, effect sizes based on simulated groups were compared for the one-parameter and three-parameter logistic IRT models. Data were generated based on a three-parameter model, and item estimates were obtained from the simulated data based on both the one-parameter and three-parameter models. Abilities were estimated using both maximum likelihood and expected a posterior methods. The data fit the three-parameter model much better, but there were only minimal differences between the effect sizes based on different models.

Educational and Psychological Measurement, Vol. 61, No. 1, 60-70 (2001)
DOI: 10.1177/00131640121971068
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