Arbeitspapier
Score-based tests of differential item functioning in the two-parameter model
Measurement invariance is a fundamental assumption in item response theory models, where the relationship between a latent construct (ability) and observed item responses is of interest. Violation of this assumption would render the scale misinterpreted or cause systematic bias against certain groups of people. While a number of methods have been proposed to detect measurement invariance violations, they typically require advance definition of problematic item parameters and respondent grouping information. However, these pieces of information are typically unknown in practice. As an alternative, this paper focuses on a family of recently-proposed tests based on stochastic processes of casewise derivatives of the likelihood function (i.e., scores). These score-based tests only require estimation of the null model (when measurement invariance is assumed to hold), and they have been previously applied in factor-analytic, continuous data contexts as well as in models of the Rasch family. In this paper, we aim to extend these tests to two parameter item response models estimated via maximum likelihood. The tests' theoretical background and implementation are detailed, and the tests' abilities to identify problematic item parameters are studied via simulation. An empirical example illustrating the tests' use in practice is also provided.
- Sprache
-
Englisch
- Erschienen in
-
Series: Working Papers in Economics and Statistics ; No. 2016-05
- Klassifikation
-
Wirtschaft
Multiple or Simultaneous Equation Models; Multiple Variables: General
Model Evaluation, Validation, and Selection
Econometric Software
- Thema
-
measurement invariance
item response theory
factor analysis
2PL model
differential item functioning
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Wang, Ting
Strobl, Carolin
Zeileis, Achim
Merkle, Edgar C.
- Ereignis
-
Veröffentlichung
- (wer)
-
University of Innsbruck, Research Platform Empirical and Experimental Economics (eeecon)
- (wo)
-
Innsbruck
- (wann)
-
2016
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:43 MEZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Wang, Ting
- Strobl, Carolin
- Zeileis, Achim
- Merkle, Edgar C.
- University of Innsbruck, Research Platform Empirical and Experimental Economics (eeecon)
Entstanden
- 2016
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