1. Generalized Mantel–Haenszel Estimators for Simultaneous Differential Item Functioning Tests
- Author
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Ivy Liu, Thomas Suesse, Samuel Harvey, Peter Yongqi Gu, Daniel Fernández, John Randal, Universitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa, and Universitat Politècnica de Catalunya. GRBIO - Grup de Recerca en Bioestadística i Bioinformàtica
- Subjects
Mathematical models ,Multiple item ,Matemàtiques i estadística::Estadística matemàtica::Modelització estadística [Àrees temàtiques de la UPC] ,Applied Mathematics ,Developmental and Educational Psychology ,Models matemàtics ,Dually consistent ,Differential item functioning ,Mantel–Haenszel estimator ,Applied Psychology ,Education - Abstract
The Mantel–Haenszel estimator is one of the most popular techniques for measuring differential item functioning (DIF). A generalization of this estimator is applied to the context of DIF to compare items by taking the covariance of odds ratio estimators between dependent items into account. Unlike the Item Response Theory, the method does not rely on the local item independence assumption which is likely to be violated when one item provides clues about the answer of another item. Furthermore, we use these (co)variance estimators to construct a hypothesis test to assess DIF for multiple items simultaneously. A simulation study is presented to assess the performance of several tests. Finally, the use of these DIF tests is illustrated via application to two real data sets.
- Published
- 2022
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