On the Use of Structural Equation Models in Experimental Designs

The authors begin with one-way designs, including overall tests of significance, step-down analyses, and the use of latent variables, and describe a general test of homogeneity and consider a procedure that is applicable even under conditions of heterogeneity.

Abstract

New procedures are developed and illustrated for the analysis of experimental data with particular emphasis on MANOVA and MANCOVA designs. The authors begin with one-way designs, including overall tests of significance, step-down analyses, and the use of latent variables. Next they describe a general test of homogeneity and consider a procedure that is applicable even under conditions of heterogeneity. Two-way designs then are derived as special cases of the more general n-way case. Finally, advantages and disadvantages of the new methods are considered.