Testing Specific Hypotheses Concerning Latent Group Differences in Multi-group Covariance Structure Analysis with Structured Means

This article concerns multi-group covariance structure analysis with structured means. The traditional latent selection model is formulated as a special case of phenotypic selection, that is, selection based not on latent variables, but on observed variables. This formulation has the advantage that it enables one to test very specific hypotheses concerning selection on latent variables. Illustrations are given using simulated and real data.