COMPARISONS WITH A CONTROL USING NORMAL SCORES AND SAVAGE STATISTICS

Distribution-free methods for comparing t greater than or equal to 2 t est treatments with a control or standard treatment are presented. Usi ng normal scores statistics, one-sided tests and confidence bounds are developed for treatment versus control comparisons of medians. Using Savage statistics, analogous results are developed for comparing scale parameters of the treatments to the control with non-negative data. P robability points are computed using a union-intersection algorithm. A symptotic relative efficiencies of these tests relative to competitors are identical to their two-sample counterparts.