“…A number of procedures to test directional alternative hypotheses have been proposed in previous studies. However, most of these procedures assume covariance homogeneity and/or multivariate normality (Sankoh, Huque, Russell, & D'Agostino, 1999;Tamhane & Logan, 2003). There has been little consideration of procedures for testing a directional alternative hypothesis when covariances are heterogeneous and the data are nonnormal (Mudholkar, Kost, & Subbaiah, 2001;Tamhane & Logan, 2002).…”