Bias-Reduced Haebara and Stocking–Lord Linking

Autor: Alexander Robitzsch
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: J, Vol 7, Iss 3, Pp 373-384 (2024)
Druh dokumentu: article
ISSN: 2571-8800
DOI: 10.3390/j7030021
Popis: Haebara and Stocking–Lord linking methods are frequently used to compare the distributions of two groups. Previous research has demonstrated that Haebara and Stocking–Lord linking can produce bias in estimated standard deviations and, to a smaller extent, in estimated means in the presence of differential item functioning (DIF). This article determines the asymptotic bias of the two linking methods for the 2PL model. A bias-reduced Haebara and bias-reduced Stocking–Lord linking method is proposed to reduce the bias due to uniform DIF effects. The performance of the new linking method is evaluated in a simulation study. In general, it turned out that Stocking–Lord linking had substantial advantages over Haebara linking in the presence of DIF effects. Moreover, bias-reduced Haebara and Stocking–Lord linking substantially reduced the bias in the estimated standard deviation.
Databáze: Directory of Open Access Journals