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Some Mantel‐Haenszel tests of Rasch model assumptions
Author(s) -
Verguts Tom,
Boeck Paul
Publication year - 2001
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1348/000711001159401
Subject(s) - rasch model , polytomous rasch model , econometrics , mathematics , statistics , item response theory , computer science , psychometrics
A class of Rasch model tests is proposed, all of them based on the Mantel‐Haenszel chi‐squared statistic. All tests make use of the ‘sufficient statistics’ property the Rasch model possesses. One element of our general class, the test for item bias developed by Holland and Thayer, has been discussed extensively in the psychometric literature. Three applications of the general procedure are presented, two on unidimensionality and one on item dependence in educational testing. In each case, simulation results are reported. Our procedure is also applied to real data.