A simulation study compared three methods of estimating parameters within structural equation models (SEM) with polytomous variables. These methods appear in three SEM computer software packages: (1) LISREL (Joreskog and Sorbom, 1996) with PRELIS (Joreskog and Sorbom); (2) EQS (Bentler, 1995); and (3) the new Mplus (Muthen and Muthen, 1998). The…

Research questions that test the interaction between either categorical variables or multiplicative expressions are commonly found in multiple regression and analysis of variance applications. In contract, research questions posing an interaction between observed variables in a path analytic model are not commonly found in the literature. This is…

An alternative two-stage least squares (2SLS) estimator of the parameters in LISREL type models is proposed and contrasted with existing estimators. The new 2SLS estimator allows observed and latent variables to originate from nonnormal distributions, is consistent, has a known asymptotic covariance matrix, and can be estimated with standard…

Though common structural equation modeling (SEM) methods are predicated upon the assumption of multivariate normality, applied researchers often find themselves with data clearly violating this assumption and without sufficient sample size to use distribution-free estimation methods. Fortunately, promising alternatives are being integrated into…

This paper reports the results of a study of changes in the social distribution of mathematics achievement for a cohort of public high school students. Using hierarchical linear modeling (HLM) the study sought to identify school characteristics which were significantly correlated with changes in achievement differences from grade 9 to grade 11…