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A Note on Statistical Hypothesis Testing Based on Log Transformation of the Mantel–Haenszel Common Odds Ratio for Differential Item Functioning Classification

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  • Insu Paek
  • Paul Holland

Abstract

When differential item functioning (DIF) is investigated, DIF classification is made using statistical test results and estimated DIF sizes in practice. One of the well-known DIF classifications is that of the Educational Testing Service (ETS) A (negligible DIF), B (medium DIF), and C (large DIF) rules. This article provides a clarifying note on (a) a sketch of the proof of the asymptotic normality of what is known as the Mantel–Haenszel (MH) delta, which provides the basis of a point and an interval null hypothesis test based on the MH delta, and (b) how to conduct an interval null hypothesis test using the MH delta, which is necessary for the C DIF classification. Copyright The Psychometric Society 2015

Suggested Citation

  • Insu Paek & Paul Holland, 2015. "A Note on Statistical Hypothesis Testing Based on Log Transformation of the Mantel–Haenszel Common Odds Ratio for Differential Item Functioning Classification," Psychometrika, Springer;The Psychometric Society, vol. 80(2), pages 406-411, June.
    • Handle: RePEc:spr:psycho:v:80:y:2015:i:2:p:406-411
    DOI: 10.1007/s11336-013-9394-5
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