Structured means analysis is a very useful approach for testing hypotheses about population means on latent constructs. In such models, a z test is most commonly used for testing the statistical significance of the relevant parameter estimates or of the differences between parameter estimates, where a z value is computed based on the asymptotic…

The capability was studied of each of three models for producing indices that will reproduce school effectiveness rankings established a priori through simulation. The models used were a within-group regression technique, a regression model using individual scores, and a regression model using means. Data for 54 hypothetical schools on input, SES,…