CIRJE-F-15. Kamiya, Hidehiko and Akimichi Takemura, "Rankings Generated by Spherical Discriminant Analysis", August 1998.

We consider the same problem as in Kamiya and Takemura(1997), but for discriminant analysis on (n-1)-dimensional unit sphere s n-1. That is, we regard pairwise discriminant analysis of m populations on s n-1 as a process to generate rankings among the populations, and give a formula for the number of generated rankings.