Article
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Preserved in Portico This version is not peer-reviewed
$L_p$ Loss Functions in Invariance Alignment and Haberman Linking
Version 1
: Received: 3 June 2020 / Approved: 4 June 2020 / Online: 4 June 2020 (13:25:49 CEST)
A peer-reviewed article of this Preprint also exists.
Abstract
The comparison of group means in latent variable models plays a vital role in empirical research in the social sciences. The present article discusses extensions of invariance alignment and Haberman linking concerning the choice of linking functions for comparisons of many groups. Robust linking functions are proposed for invariance alignment and robust Haberman linking that are particularly suited to item response data under partial invariance. In a simulation study, it is shown that both linking approaches have comparable performance, and in some conditions, the newly proposed robust Haberman linking outperforms invariance alignment.
Keywords
factor model; 2PL model; linking; invariance alignment; Haberman linking; partial invariance; item response model; structural equation model; differential item functioning
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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