Using Structural Equation Modeling in Place of Between-Subjects Analysis of Variance

This article demonstrates how to use structural equation modeling (SEMing) in place of between-subjects analysis of variance (BS-ANOVA). More specifically, this article demonstrates how to closely reproduce the F-values and p-values from ANOVA (for all main and interactions effects) using an SEM model comparison approach (i.e., χ2 difference tests between two SEMs that conform to the main and interaction effects of the null and alternative hypotheses of an ANOVA main or interaction effect). Therefore, researchers less familiar with SEM can use this article to test hypotheses common to BS-ANOVA, and potentially use this article as a steppingstone for implementing more complex SEMs (including modern methods for missing data, estimation of latent variables, and relaxation of homogeneity of variance assumptions).