Person fit; Rasch model; estimated ability; infit; outfit
Abstract :
[en] The Infit mean square W and the Outfit mean square U are commonly used person fit indexes under Rasch measurement. However, they suffer from two major weaknesses. First, their asymptotic distribution is usually derived by assuming that the true ability levels are known. Second, such distributions are even not clearly stated for indexes U and W. Both issues can seriously affect the selection of an appropriate cut-score for person fit identification. Snijders (2001) proposed a general approach to correct some person fit indexes when specific ability estimators are used. The purpose of this paper is to adapt this approach to U and W indexes. First, a brief sketch of the methodology and its application to U and W is proposed. Then, the corrected indexes are compared to their classical versions through a simulation study. The suggested correction yields controlled Type I errors against both conservatism and inflation, while the power to detect specific misfitting response patterns gets significantly increased.
Disciplines :
Education & instruction
Author, co-author :
Magis, David ; Université de Liège - ULiège > Département d'éducation et formation > Psychométrie et édumétrie
Béland, Sébastien
Raîche, Gilles
Language :
English
Title :
Snijders’ correction of Infit and Outfit indexes with estimated ability level : an analysis with the Rasch model
Alternative titles :
[fr] Correction de Snijders pour les indices Infit et Outfit avec niveaux d'habileté estimés: application au modèle de Rasch