Utility of the Mantel-Haenszel Procedure for Detecting Differential Item Functioning in Small Samples

AÁngel M. Fidalgo · Doris Ferreres · José Muñiz

61 citations0/0 files storedEducational and Psychological Measurement

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Psychometric Methodologies and Testing Psychological Testing and Assessment Educational Assessment and Pedagogy

Abstract

Sample-size restrictions limit the contingency table approaches based on asymptotic distributions, such as the Mantel-Haenszel (MH) procedure, for detecting differential item functioning (DIF) in many practical applications. Within this framework, the present study investigated the power and Type I error performance of empirical and inferential criteria for DIF detection in small samples. Sample sizes (50/50, 100/50, 200/50, and 100/100 for the reference and focal groups, respectively), ability distributions (equal and unequal), and amount of DIF (moderate and high) were manipulated. The results show the advantages of employing theMHchi-square statistic using high levels of significance (• = .20) as opposed to the empirical criteria (cutoffs for categorizing DIF based on the magnitude of the MH common odds ratio estimator and the standardized p-difference statistic). Some considerations concerning Type I and Type II errors are made.

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References

1994Differential Item Functioning.1994Methods for Identifying Biased Test Items 1993A Model-Based Standardization Approach that Separates True Bias/DIF from Group Ability Differences and Detects Test Bias/DTF as well as Item Bias/DIF 1993Methodology Review: Statistical Approaches for Assessing Measurement Bias 1998Using Statistical Procedures to Identify Differentially Functioning Test Items 1986DEMONSTRATING THE UTILITY OF THE STANDARDIZATION APPROACH TO ASSESSING UNEXPECTED DIFFERENTIAL ITEM PERFORMANCE ON THE SCHOLASTIC APTITUDE TEST 1993A Comparison of Logistic Regression and Mantel-Haenszel Procedures for Detecting Differential Item Functioning 1999An Empirical Bayes Approach to Mantel‐Haenszel DIF Analysis

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2011Formulating the Rasch Differential Item Functioning Model Under the Marginal Maximum Likelihood Estimation Context and Its Comparison With Mantel–Haenszel Procedure in Short Test and Small Sample Conditions 2007Influence of equal or unequal comparison group sample sizes on the detection of differential item functioning using the Mantel–Haenszel and logistic regression techniques 2011Explanatory Secondary Dimension Modeling of Latent Differential Item Functioning

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