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CHAPTER 5 EXAMPLES: CONFIRMATORY FACTOR …

Examples: CONFIRMATORY FACTOR analysis And structural Equation Modeling 55 CHAPTER 5 EXAMPLES: CONFIRMATORY FACTOR analysis AND structural EQUATION MODELING CONFIRMATORY FACTOR analysis (CFA) is used to study the relationships between a set of observed variables and a set of continuous latent variables. When the observed variables are categorical, CFA is also referred to as item response theory (IRT) analysis (Fox, 2010; van der Linden, 2016). CFA with covariates (MIMIC) includes models where the relationship between factors and a set of covariates are studied to understand measurement invariance and population heterogeneity. These models can include direct effects, that is, the regression of a FACTOR indicator on a covariate in order to study measurement non-invariance.

Examples: Confirmatory Factor Analysis And Structural Equation Modeling 59 Following is the set of examples included in this chapter that estimate models with parameter constraints: 5.20: CFA with parameter constraints 5.21: Two-group twin model for continuous outcomes using parameter constraints

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