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Ames, Allison J.; Leventhal, Brian C.; Ezike, Nnamdi C. – Measurement: Interdisciplinary Research and Perspectives, 2020
Data simulation and Monte Carlo simulation studies are important skills for researchers and practitioners of educational and psychological measurement, but there are few resources on the topic specific to item response theory. Even fewer resources exist on the statistical software techniques to implement simulation studies. This article presents…
Descriptors: Monte Carlo Methods, Item Response Theory, Simulation, Computer Software
Tay, Louis; Drasgow, Fritz – Educational and Psychological Measurement, 2012
Two Monte Carlo simulation studies investigated the effectiveness of the mean adjusted X[superscript 2]/df statistic proposed by Drasgow and colleagues and, because of problems with the method, a new approach for assessing the goodness of fit of an item response theory model was developed. It has been previously recommended that mean adjusted…
Descriptors: Test Length, Monte Carlo Methods, Goodness of Fit, Item Response Theory
Klockars, Alan J.; Lee, Yoonsun – Journal of Educational Measurement, 2008
Monte Carlo simulations with 20,000 replications are reported to estimate the probability of rejecting the null hypothesis regarding DIF using SIBTEST when there is DIF present and/or when impact is present due to differences on the primary dimension to be measured. Sample sizes are varied from 250 to 2000 and test lengths from 10 to 40 items.…
Descriptors: Test Bias, Test Length, Reference Groups, Probability

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