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Applied Psychological Measurement
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The Item Parameter Replication Method for Detecting Differential Functioning in the Polytomous DFIT Framework

Nambury S. Raju

Illinois Institute of Technology

Kristen A. Fortmann-Johnson

Illinois Institute of Technology

Wonsuk Kim

Measured Progress

Scott B. Morris

Illinois Institute of Technology, scott.morris{at}iit.edu

Michael L. Nering

Measured Progress

T.C. Oshima

Georgia State University

The recent study of Oshima, Raju, and Nanda proposes the item parameter replication (IPR) method for assessing statistical significance of the noncompensatory differential item functioning (NCDIF) index within the differential functioning of items and tests (DFIT) framework. Previous Monte Carlo simulations have found that the appropriate cutoff values for determining statistical significance of NCDIF depend on sample size and the item response theory (IRT) model used for the analysis. The IPR method simplifies the process of identifying cutoff values that are tailored to a particular research setting. This approach has been shown to be effective for detecting differential item functioning (DIF) in dichotomous items. The current article extends the IPR method to the polytomous case.

Key Words: item response theory • differential item functioning • statistical significance • differential functioning of items and tests • polytomous data • item bias

Applied Psychological Measurement, Vol. 33, No. 2, 133-147 (2009)
DOI: 10.1177/0146621608319514
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