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Taylor & Francis (Routledge), Structural Equation Modeling: A Multidisciplinary Journal, 6(23), p. 798-818

DOI: 10.1080/10705511.2016.1214919

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Augmenting the Correlated Trait–Correlated Method Model for Multitrait–Multimethod Data

Journal article published in 2016 by Laura Castro-Schilo, Kevin J. Grimm, Keith F. Widaman ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We introduce an approach for ensuring empirical identification of the correlated trait–correlated method (CT–CM) model under a variety of conditions. A set of models are referred to as augmented correlated trait–correlated method (ACT–CM) models because they are based on systematically augmenting the multitrait–multimethod matrix put forth by Campbell and Fiske (1959). We show results from a Monte Carlo simulation study in which data characteristics lead to an empirically underidentified standard CT–CM model, but a well-identified fully augmented correlated trait–correlated method (FACT–CM) model. This improved identification occurs even for a model in which equality constraints are imposed on loadings on each trait factor and loadings on each method factor—a specific case shown to lead to an empirically underidentified CT–CM model.