Detecting Differential Item Functioning in 2PL Multistage Assessments

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....

Full description

Bibliographic Details
Main Authors: Rudolf Debelak, Sebastian Appelbaum, Dries Debeer, Martin J. Tomasik
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Psych
Subjects:
Online Access:https://www.mdpi.com/2624-8611/5/2/31
_version_ 1797592854079471616
author Rudolf Debelak
Sebastian Appelbaum
Dries Debeer
Martin J. Tomasik
author_facet Rudolf Debelak
Sebastian Appelbaum
Dries Debeer
Martin J. Tomasik
author_sort Rudolf Debelak
collection DOAJ
description 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.
first_indexed 2024-03-11T02:00:06Z
format Article
id doaj.art-8a4f0d5f0301408887fbd6fb5dd69da6
institution Directory Open Access Journal
issn 2624-8611
language English
last_indexed 2024-03-11T02:00:06Z
publishDate 2023-05-01
publisher MDPI AG
record_format Article
series Psych
spelling doaj.art-8a4f0d5f0301408887fbd6fb5dd69da62023-11-18T12:21:10ZengMDPI AGPsych2624-86112023-05-015246147710.3390/psych5020031Detecting Differential Item Functioning in 2PL Multistage AssessmentsRudolf Debelak0Sebastian Appelbaum1Dries Debeer2Martin J. Tomasik3Department for Psychology, University of Zurich, 8050 Zurich, SwitzerlandSchool of Psychology and Psychotherapy, Witten/Herdecke University, 58448 Witten, GermanyFaculty of Psychology and Educational Sciences, Ghent University, 9000 Gent, BelgiumDepartment for Psychology, University of Zurich, 8050 Zurich, SwitzerlandThe 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.https://www.mdpi.com/2624-8611/5/2/31item response theorydifferential item functioningmultistage testing
spellingShingle Rudolf Debelak
Sebastian Appelbaum
Dries Debeer
Martin J. Tomasik
Detecting Differential Item Functioning in 2PL Multistage Assessments
Psych
item response theory
differential item functioning
multistage testing
title Detecting Differential Item Functioning in 2PL Multistage Assessments
title_full Detecting Differential Item Functioning in 2PL Multistage Assessments
title_fullStr Detecting Differential Item Functioning in 2PL Multistage Assessments
title_full_unstemmed Detecting Differential Item Functioning in 2PL Multistage Assessments
title_short Detecting Differential Item Functioning in 2PL Multistage Assessments
title_sort detecting differential item functioning in 2pl multistage assessments
topic item response theory
differential item functioning
multistage testing
url https://www.mdpi.com/2624-8611/5/2/31
work_keys_str_mv AT rudolfdebelak detectingdifferentialitemfunctioningin2plmultistageassessments
AT sebastianappelbaum detectingdifferentialitemfunctioningin2plmultistageassessments
AT driesdebeer detectingdifferentialitemfunctioningin2plmultistageassessments
AT martinjtomasik detectingdifferentialitemfunctioningin2plmultistageassessments