Rank procedures in many population forced discrimination problems

In this paper the rank method for forced discrimination in two population problems, introduced by Randies, Broffitt, Ramberg and Hogg (1978), is extended to cover settings involving more than two populations. Several methods of ranking are compared to the normal theory procedure in a Monte Carlo study. Asymptotic theory is included which confirms that the rank method does balance the limiting probabilities of misclassification in a two population setting.