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A Robust Outlier Approach to Prevent Type I Error Inflation in Differential Item Functioning

Bibliographic Data

ID20283183
AuthorsDavid Magis (University of Liège, Liège, Belgium), Paul De Boeck (0000-0002-0884-2582, K. U. Leuven, Leuven, Belgium)
Year2012
Volume72
Issue2
Pages291-311
Publication date2012-04-01
Open AccessYes
TypeARTICLE
VenueEducational and Psychological Measurement (JOURNAL)
Journal identifiersISSN: 0013-1644 • E-ISSN: 1552-3888
PublisherSAGE Publications (PUBLISHER • US)
DOI10.1177/0013164411416975
OpenAlexW2155647249
LanguageEN
Citations received4
References cited41

The identification of differential item functioning (DIF) is often performed by means of statistical approaches that consider the raw scores as proxies for the ability trait level. One of the most popular approaches, the Mantel–Haenszel (MH) method, belongs to this category. However, replacing the ability level by the simple raw score is a source of potential Type I error inflation, not only in the presence of DIF but also when DIF is absent and in the presence of impact. The purpose of this article is to present an alternative statistical inference approach based on the same measure of DIF but such that the Type I error inflation is prevented. The key notion is that for DIF items, the measure has an outlying value that can be identified as such with inference tools from robust statistics. Although we use the MH log odds ratio as a statistic, the inference is different. A simulation study is performed to compare the robust statistical inference with the classical inference method, both based on the MH statistic. As expected, the Type I error rate inflation is avoided with the robust approach, although the power of the two methods is similar

Bayesian inference · Bayesian probability · Data mining · Differential item functioning · Econometrics · Frequentist inference · Inference · Item response theory · Measure (data warehouse) · Outlier · Psychometrics · Statistic · Statistical hypothesis testing · Statistical inference · Statistics · Type I and type II errors · Advanced Statistical Modeling Techniques · Artificial Intelligence · Computer Science · Mathematics · Optimal Experimental Design Methods · Psychometric Methodologies and Testing

  • Item Purification Does Not Always Improve DIF Detection

    Open Access•David Magis, Bruno Facon•Educational and Psychological…•2012

  • Type I Error Inflation in DIF Identification With Mantel–Haenszel

    Open Access•David Magis, Paul De Boeck•Educational and Psychological…•2014

  • Exploring the Evidence to Interpret Differential Item Functioning via Response Process Data

    Open Access•Ziying Li, Jinnie Shin et al.•Educational and Psychological…•2025

  • A Regression Discontinuity Design Framework for Controlling Selection Bias in Evaluations of Differential Item Functioning

    Open Access•Natalie A Koziol, J Marc Goodrich et al.•Educational and Psychological…•2022

  • Robust Regression and Outlier Detection

    Open Access•Peter J Rousseeuw, Annick M Leroy•Robust regression and outlier…•1987

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    Open Access•Hariharan Swaminathan, H Jane Rogers•Journal of Educational Measurement•1990

  • A Model-Based Standardization Approach that Separates True Bias/DIF from Group Ability Differences and Detects Test Bias/DTF as well as Item Bias/DIF

    Open Access•Robin Shealy, Robin T Shealy et al.•Psychometrika•1993

  • Identification of Nonuniform Differential Item Functioning Using a Variation of the Mantel-Haenszel Procedure

    Open Access•Kathleen M Mazor, Brian E Clauser et al.•Educational and Psychological…•1994

  • Type I Error Inflation for Detecting DIF in the Presence of Impact

    Open Access•Christine E DeMars•Educational and Psychological…•2010

  • On The Robustness Of Factor Analysis Against Crude Classification Of The Observations

    Ulf Olsson•Multivariate Behavioral Research•1979

  • Asymptotic Robust Inferences in the Analysis of Mean and Covariance Structures

    Albert Satorra•Sociological Methodology•1992

  • Applying the Breslow-Day Test of Trend in Odds Ratio Heterogeneity to the Analysis of Nonuniform DIF

    Open Access•Randall D Penfield•Alberta Journal of Educational…•2003

  • Structural Equation Modeling with Robust Covariances

    Open Access•Ke-Hai Yuan, Peter M Bentler•Sociological Methodology•1998

Citations per year0.29
Citation span2012 - 2025 (14)
Highly citedNo

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