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Investigating measurement invariance by means of parameter instability tests for 2PL and 3PL models


Debelak, Rudolf; Strobl, Carolin (2019). Investigating measurement invariance by means of parameter instability tests for 2PL and 3PL models. Educational and Psycological Measurement, 79(2):385-398.

Abstract

M-fluctuations tests are a recently proposed method for detecting differential item functioning in Rasch models. This paper discusses a generalization of this method to two additional IRT models: The two-parametric logistic model and the three-parametric logistic model with a common guessing parameter. The Type I error rate and the power of this method were evaluated by a variety of simulation studies. The results suggest that the new method allows the detection of various forms of differential item functioning in these models, which also includes differential discrimination and differential guessing effects. It is also robust against moderate violations of several assumptions made in the item parameter estimation.

Abstract

M-fluctuations tests are a recently proposed method for detecting differential item functioning in Rasch models. This paper discusses a generalization of this method to two additional IRT models: The two-parametric logistic model and the three-parametric logistic model with a common guessing parameter. The Type I error rate and the power of this method were evaluated by a variety of simulation studies. The results suggest that the new method allows the detection of various forms of differential item functioning in these models, which also includes differential discrimination and differential guessing effects. It is also robust against moderate violations of several assumptions made in the item parameter estimation.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:06 Faculty of Arts > Institute of Psychology
Dewey Decimal Classification:150 Psychology
Language:English
Date:1 April 2019
Deposited On:26 Apr 2018 13:26
Last Modified:15 Jul 2019 15:54
Publisher:Sage Publications Ltd.
ISSN:0013-1644
OA Status:Green
Publisher DOI:https://doi.org/10.1177/0013164418777784

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