Measurement equivalence: a comparison of methods based on confirmatory factor analysis and item response theory |
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Authors: | Raju Nambury S Laffitte Larry J Byrne Barbara M |
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Affiliation: | Institute of Psychology, Illinois Institute of Technology, Chicago 60616-3793, USA. raju@iit.edu |
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Abstract: | Current interest in the assessment of measurement equivalence emphasizes 2 major methods of analysis. The authors offer a comparison of a linear method (confirmatory factor analysis) and a nonlinear method (differential item and test functioning using item response theory) with an emphasis on their methodological similarities and differences. The 2 approaches test for the equality of true scores (or expected raw scores) across 2 populations when the latent (or factor) score is held constant. Both approaches can provide information about when measurement nonequivalence exists and the extent to which it is a problem. An empirical example is used to illustrate the 2 approaches. |
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