Testing Equality of Proportions Explained Latent Variance in Structural Equation Models

Abstract

A covariance structure modeling method to test equality in proportions explained variance in studied unobserved dimensions by means of latent predictors is outlined. The procedure is applicable with multiple-indicator, structural equation models where of interest is to compare the predictive power of sets of latent independent variables for given constructs. The approach accounts for measurement error in all manifest variables and is illustrated with data from a cognitive intervention study.