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Psych concluded publication with Volume 6, Issue 1. It has been succeeded by Psychology International, which has a revised scope and a new editorial direction and is now published here. To preserve historical data integrity, the information on this webpage is retained but will no longer be updated.
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Article

Detecting Differential Item Functioning in 2PL Multistage Assessments

by
Rudolf Debelak
1,*,
Sebastian Appelbaum
2,
Dries Debeer
3 and
Martin J. Tomasik
1,4
1
Department for Psychology, University of Zurich, 8050 Zurich, Switzerland
2
School of Psychology and Psychotherapy, Witten/Herdecke University, 58448 Witten, Germany
3
Faculty of Psychology and Educational Sciences, Ghent University, 9000 Gent, Belgium
4
Department of Psychology and Psychotherapy, Witten/Herdecke University, 58448 Witten, Germany
*
Author to whom correspondence should be addressed.
Psych 2023, 5(2), 461-477; https://doi.org/10.3390/psych5020031
Submission received: 29 March 2023 / Revised: 26 May 2023 / Accepted: 29 May 2023 / Published: 31 May 2023
(This article belongs to the Special Issue Computational Aspects and Software in Psychometrics II)
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Abstract

The detection of differential item functioning is crucial for the psychometric evaluation of multistage tests. This paper discusses five approaches presented in the literature: logistic regression, SIBTEST, analytical score-based tests, bootstrap score-based tests, and permutation score-based tests. First, using an simulation study inspired by a real-life large-scale educational assessment, we compare the five approaches with respect to their type I error rate and their statistical power. Then, we present an application to an empirical data set. We find that all approaches show type I error rates close to the nominal alpha level. Furthermore, all approaches are shown to be sensitive to uniform and non-uniform DIF effects, with the score-based tests showing the highest power.
Keywords: item response theory; differential item functioning; multistage testing item response theory; differential item functioning; multistage testing

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MDPI and ACS Style

Debelak, R.; Appelbaum, S.; Debeer, D.; Tomasik, M.J. Detecting Differential Item Functioning in 2PL Multistage Assessments. Psych 2023, 5, 461-477. https://doi.org/10.3390/psych5020031

AMA Style

Debelak R, Appelbaum S, Debeer D, Tomasik MJ. Detecting Differential Item Functioning in 2PL Multistage Assessments. Psych. 2023; 5(2):461-477. https://doi.org/10.3390/psych5020031

Chicago/Turabian Style

Debelak, Rudolf, Sebastian Appelbaum, Dries Debeer, and Martin J. Tomasik. 2023. "Detecting Differential Item Functioning in 2PL Multistage Assessments" Psych 5, no. 2: 461-477. https://doi.org/10.3390/psych5020031

APA Style

Debelak, R., Appelbaum, S., Debeer, D., & Tomasik, M. J. (2023). Detecting Differential Item Functioning in 2PL Multistage Assessments. Psych, 5(2), 461-477. https://doi.org/10.3390/psych5020031

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