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Modification of the Mantel-Haenszel and Logistic Regression DIF Procedures to Incorporate the SIBTEST Regression Correction

^* To whom correspondence should be addressed. E-mail: demarsce{at}jmu.edu.

	Abstract

The Mantel-Haenszel (MH) and logistic regression (LR) differential item functioning (DIF) procedures have inflated Type I error rates when there are large mean group differences, short tests, and large sample sizes. When there are large group differences in mean score, groups matched on the observed number-correct score differ on true score, contributing to inflated Type I error rates. The simultaneous item bias test procedure has incorporated an adjustment for this difference, originally using a linear regression correction and later using a nonlinear correction. In this study, these adjustments are applied to the MH and LR procedures. They effectively reduce the Type I error inflation for the MH and the LR test of uniform DIF, but not the LR test of nonuniform DIF. For large samples and large group mean differences, the effect size is estimated with greater accuracy using these adjustments.

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