Yi. Chen et Da. Wolfe, NONPARAMETRIC PROCEDURES FOR COMPARING UMBRELLA PATTERN TREATMENT EFFECTS WITH A CONTROL IN A ONE-WAY LAYOUT, Biometrics, 49(2), 1993, pp. 455-465
In this paper we are concerned with comparing umbrella pattern treatme
nt effects with a control in a one-way layout. The problem of testing
whether there is at least one treatment that is better than the contro
l is considered. Distribution-free tests are proposed for both cases w
here the peak of the umbrella is known or unknown. Approximate small-s
ample critical values are presented and the results of a Monte Carlo p
ower study are discussed.