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We consider the unbalanced one-way layout for comparing 3 treatment effects which can be assumed to satisfy the simple ordering m1 m2 m3. This problem arises often in the comparison of three dose levels in medical trials, for example. The one-sided studentised range test provides a set of simultaneous confidence intervals for the ordered pairwise differences mj - mi, i 0 while at the same time providing two-sided finite confidence intervals. Consequently, this new procedure has the advantage of allowing the same directional inferences as the one-sided studentised range test while additionally providing upper bounds on the differences among the treatment effects.

EFFICIENT DIRECTIONAL INFERENCE METHODOLOGIES FOR THE COMPARISONS OF THREE ORDERED TREATMENT EFFECTS