A Note on Schafer and Rutemiller's Complete Ranking Procedure

Abstract

Schafer and Rutemiller [4] presented a solution to the complete ranking problem based on chi-squared random variables. Their solution is unnecessarily restrictive since a general distribution for the ranking variables may be assumed as in Bishop and Dudewicl [2]. and in fact in some cases the exact form of this general distribution may be unknown.

KEYWORDS:

• Ranking procedures using i.i.d. random variables
• Consistent estimates
• Scale parameters
• Monte Carlo estimation