Generalized Mantel–Haenszel estimators for simultaneous differential item functioning tests

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 t...

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Detalhes bibliográficos
Autores: Liu, Ivy, Suesse, Thomas, Harvey, Samuel, Yongqi Gu, Peter, Fernández Martínez, Daniel|||0000-0003-0012-2094, Randal, John
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/376768
Acesso em linha:https://hdl.handle.net/2117/376768
https://dx.doi.org/10.1177/00131644221128341
Access Level:acceso abierto
Palavra-chave:Mathematical models
Differential item functioning
Dually consistent
Mantel–Haenszel estimator
Multiple item
Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica::Modelització estadística
Descrição
Resumo: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