Little Green Book

CAUSAL MODELS UNDERLYING MANOVA ANALYSES

Path-analytic representations are developed in this section for the various techniques used in MANOVA analyses. Recognition of the causal models implicitly underlying the various methods clarifies the relationships among the strategies. The primary purpose of this section is pedagogical, in that the path diagrams to be presented for different methods often enhance understanding of the questions addressed by these methods. However, it is generally preferable to perform the actual data analysis using MANOVA computational formulas such as those presented in Section 2, rather than directly through a path-analytic representation. Bagozzi et al. (1981) provide details on how to obtain MANOVA results from the path-analytic approach using LISREL (Joreskog and Sorbom, 1983). Our purpose here, however, is primarily conceptual. Several authors (Bentler and Huba, 1982; Blalock, 1969; Dwyer, 1983; Kenny, 1979; Van de Geer, 1971) have used path analysis to relate different multivariate techniques such as factor analysis, discriminant analysis, regression ...

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