ABSTRACT
After the free parameters of the confirmatory factor analysis model have been estimated, it is then possible to obtain a “reproduced” variance-
covariance matrix Σˆ0 = ΛˆΦˆΛˆ′ + Ψˆ2 among the observed variables based on the confirmatory factor analysis model’s fixed, constrained, and estimated parameters. Or one may have estimated parameters of a SEM and used these to reproduce a model variance-covariance matrix given by
Σˆ0 = GBˆ∗−1Γˆ∗ΦˆΓˆ∗′Bˆ∗′−1G′.
