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Confirmatory Factor Analysis (CFA) is a set of multivariate techniques aimed at validating the relations between the observed variables, or indicators, and underlying latent variables, or factors, and is typically used to test and describe the underlying structure of psychological scales and other social science measurements.
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Difference between exploratory and confirmatory factor analysis in determining construct ind...
If I understand your question correctly it is a question about testing. Then simply testing requires a kind of confirmatory factor-analysis, the same as the question: "do the means in the subgroups re …