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Structural Equation Modeling with Mplus by Barbara M. Byrne

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chapter 3

Testing the Factorial Validityof a Theoretical Construct

First-Order ConfirmatoryFactor Analysis Model

Our first application examines a first-order confirmatory factor analysis (CFA) model designed to test the multidimensionality of a theoretical construct. Specifically, this application tests the hypothesis that self-concept (SC), for early adolescents (grade 7), is a multidimensional construct composed of four factors—General SC (GSC), Academic SC (ASC), English SC (ESC), and Mathematics SC (MSC). The theoretical underpinning of this hypothesis derives from the hierarchical model of SC proposed by Shavelson, Hubner, and Stanton (1976). The example is taken from a study by Byrne and Worth Gavin (1996) in which four hypotheses related ...

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