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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.

categorical (ordinal), unordered categorical (nominal), counts, or combinations of these variable types. CFA is a measurement model. SEM has two parts: a measurement ... Here the two BY statements specify that f1 is measured by y1, y2, and y3, and f2 is measured by y4, y5, and y6. The metric of the factors is set

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