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Psych: An International, Open Access, Peer Reviewed Journal on Fields Ranging from Experimental Psychology to Clinical Psychiatry
Article

Robust Haebara Linking for Many Groups: Performance in the Case of Uniform DIF

1
IPN—Leibniz Institute for Science and Mathematics Education, Olshausenstraße 62, D-24118 Kiel, Germany
2
Centre for International Student Assessment (ZIB), Olshausenstraße 62, D-24118 Kiel, Germany
Psych 2020, 2(3), 155-173; https://doi.org/10.3390/psych2030014
Received: 19 May 2020 / Revised: 28 June 2020 / Accepted: 24 July 2020 / Published: 28 July 2020
(This article belongs to the Section Psychometrics and Educational Measurement)
The comparison of group means in item response models constitutes an important issue in empirical research. The present article discusses a slight extension of the robust Haebara linking approach of He and Cui by proposing a flexible class of robust Haebara linking functions for comparisons of many groups. These robust linking functions are robust against violations of invariance. In this article, we investigate the performance of robust Haebara linking in the presence of uniform DIF effects. In an analytical derivation, it is shown that the robust Haebara linking approach provides unbiased estimates of group means in the limiting case p=0. In a simulation study, it is demonstrated that the proposed variant of the Haebara linking approach outperforms existing implementations of Haebara linking to some extent. In an empirical application using PISA data, it is illustrated that country means can be sensitive to the choice of linking functions. View Full-Text
Keywords: linking; item response model; 2PL model; Haebara linking; differential item functioning; partial invariance; uniform DIF linking; item response model; 2PL model; Haebara linking; differential item functioning; partial invariance; uniform DIF
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MDPI and ACS Style

Robitzsch, A. Robust Haebara Linking for Many Groups: Performance in the Case of Uniform DIF. Psych 2020, 2, 155-173. https://doi.org/10.3390/psych2030014

AMA Style

Robitzsch A. Robust Haebara Linking for Many Groups: Performance in the Case of Uniform DIF. Psych. 2020; 2(3):155-173. https://doi.org/10.3390/psych2030014

Chicago/Turabian Style

Robitzsch, Alexander. 2020. "Robust Haebara Linking for Many Groups: Performance in the Case of Uniform DIF" Psych 2, no. 3: 155-173. https://doi.org/10.3390/psych2030014

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