Structural Equation Modeling for One-Way MANOVA Design Using the Amos Graphics Software

Abstract

Bagozzi, Yi (1989) developed powerful procedures for the analysis of MANOVA and MANCOVA designs on the use of structural equation modeling with the Lisrel program. The present paper showed how the Bagozzi, Yi's (1989) procedure for one-way MANOVA and MANCOVA analysis could be accomplished with the Amos program. For the comparison with the Lisrel and easy understanding for the method of Bagozzi, Yi (1989), we used the same illustrative examples as Bagozzi, Yi (1989). The noticeable difference in MANOVA or MANCOVA analysis is that a pseudo variable is present to estimate means in the Lisrel while means are estimated automatically by the option "Estimate means and intercepts" by which the model with the Amos is simpler than the one with the Lisrel. Model equation formulas, assumptions for parameters and appropriate data forms for a given model specification in the Amos were explained by comparing with the Lisrel. This paper showed all the procedures for one-way MANOVAs suggested by Bagozzi, Yi (1989) could be performed easily by using the Amos while another software PLS had some limitation for application of the procedures (Bagozzi, Yi, 1991).