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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.

CHAPTER 5 56 and a set of Poisson or zero-inflated Poisson regression equations for count factor indicators. The structural model describes three types of relationships in one set of multivariate regression equations: the relationships among factors, the relationships among observed variables, and the relationships between

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