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Bayesian tests of measurement invariance
Author(s) -
Verhagen A. J.,
Fox J. P.
Publication year - 2013
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 - 10.1111/j.2044-8317.2012.02059.x
Subject(s) - measurement invariance , deviance information criterion , bayes factor , statistics , bayesian probability , econometrics , deviance (statistics) , european social survey , mathematics , bayes' theorem , item response theory , computer science , structural equation modeling , bayesian inference , psychometrics , confirmatory factor analysis , politics , political science , law
Random item effects models provide a natural framework for the exploration of violations of measurement invariance without the need for anchor items. Within the random item effects modelling framework, Bayesian tests (Bayes factor, deviance information criterion) are proposed which enable multiple marginal invariance hypotheses to be tested simultaneously. The performance of the tests is evaluated with a simulation study which shows that the tests have high power and low Type I error rate. Data from the European Social Survey are used to test for measurement invariance of attitude towards immigrant items and to show that background information can be used to explain cross‐national variation in item functioning.