A latent variable modeling method is outlined for constructing a confidence interval (CI) of a popular multivariate effect size measure. The procedure uses the conventional multivariate analysis of variance (MANOVA) setup and is applicable with large samples. The approach provides a population range of plausible values for the proportion of generalized variance associated with group membership and permits at the same time testing of the underlying assumption of covariance matrix homogeneity. The method is generally applicable, is most readily used in empirical research with up to three simultaneously analyzed response variables, and is illustrated with an empirical example.
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