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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

Published online by Cambridge University Press:  01 January 2025

Insu Paek  and
Paul Holland
Insu Paek*
Affiliation:
Florida State University
Paul Holland
Affiliation:
St. Petersburg, Florida
*
Requests for reprints should be sent to Insu Paek, Educational Psychology & Learning Systems, Florida State University, 3204D Stone Building, 1114 W. Call St., Tallahassee, FL 32306-4453, USA. E-mail: [email protected]
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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.

Type
Original Paper
Information
Psychometrika , Volume 80 , Issue 2 , June 2015 , pp. 406 - 411
Copyright
Copyright © 2013 The Psychometric Society

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Footnotes

P. Holland is retired. Former Frederic M. Lord Chair in Measurement and Statistics in Educational Testing Service.

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