Abstract
The performance of the Mantel-Haenszel odds-ratio estimator and χ 2 significance test were investigated using simulated data. Multiparameter logistic item response theory models were used to generate item scores for 20- and 40-item tests for 500 reference group and 500 focal group examinees. The difficulty, discrimination, and guessing parameters, and the difference in the group trait level averages were varied and combined factorially. Within each cell of the design, 200 replications were completed under both differential item functioning (DIF) and no-DIF conditions. The empirical χ 2 Type I and Type II error rates, and the average of the odds-ratio estimates, were analyzed over the 200 replications
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