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Testing Criterion Correlations With Scale Component Measurement Errors Using Latent Variable Modeling
Authors:Tenko Raykov  George A Marcoulides  Siegfried Gabler  Youngjun Lee
Institution:1. Michigan State Universityraykov@msu.edu;3. University of California, Santa Barbara;4. Leibniz Institute for the Social Sciences, Mannheim, Germany;5. Michigan State University
Abstract:A latent variable modeling method for testing criterion correlations with measurement error terms in multicomponent measuring instruments is outlined. The approach is based on an application of the Benjamini–Hochberg multiple testing procedure and can be used when assumptions of validity estimation related procedures need to be examined. The method also allows studying the extent to which criterion validity coefficients might be due to the relationship between a presumed underlying latent construct evaluated by a psychometric scale and a criterion variable, or could be a consequence of the relation between measurement error in the overall scale score and the criterion. The discussed procedure is widely applicable with popular latent variable modeling software, and is illustrated using a numerical example.
Keywords:Benjamini–Hochberg procedure  correlation  criterion  criterion validity  latent variable modeling  measurement error  multiple testing
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