Preprint Article Version 1 This version is not peer-reviewed

Robust Haebara Linking for Many Groups in the Case of Partial Invariance

Version 1 : Received: 3 June 2020 / Approved: 4 June 2020 / Online: 4 June 2020 (13:28:42 CEST)

How to cite: Robitzsch, A. Robust Haebara Linking for Many Groups in the Case of Partial Invariance. Preprints 2020, 2020060035 (doi: 10.20944/preprints202006.0035.v1). Robitzsch, A. Robust Haebara Linking for Many Groups in the Case of Partial Invariance. Preprints 2020, 2020060035 (doi: 10.20944/preprints202006.0035.v1).

Abstract

The comparison of group means in item response models constitutes an important issue in empirical research. The present article discusses an extension of Haebara linking by proposing a flexible class of robust linking functions for comparisons of many groups. These robust linking functions are particularly suited to item response data that are generated under partial invariance. In a simulation study, it is shown that the newly proposed robust Haebara linking approach outperforms existing approaches of Haebara linking. In an empirical application using PISA data, it is illustrated that country means can be sensitive to the choice of linking functions.

Subject Areas

linking; item response model; 2PL model; Haebara linking; differential item functioning; partial invariance

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