Krzanowski (J. Chemometrics, 9, 509 (1995)) proposed a method for obta
ining so-called orthogonal canonical variates (henceforth called compo
nents) for discrimination purposes. In contrast with ordinary discrimi
nant analysis, this method employs components that are orthogonal in t
he original data space. These components are derived in a successive w
ay, thus optimizing discrimination of a component given the previously
extracted components. Two alternative procedures are proposed to extr
act the desired number of components simultaneously, yielding a better
overall discrimination. The simultaneous approaches are applied to th
e same two data sets as analysed by Krzanowski, as well as to Anderson
's Iris data, and a comparison of discriminatory quality of the soluti
ons is presented. (C) 1997 John Wiley & Sons, Ltd.