An Exact Control-Versus-Treatment Comparison Test Based on Ranked Set Samples

A control-versus-treatment multiple comparison test procedure is developed based on ranked set samples. The test, constructed based on K-independent exact median confidence intervals corresponding to the K populations, rejects the null hypothesis of equal medians if the median confidence intervals of the control group and any one of the other K - 1 treatment groups are disjoint. The use of the proposed test is illustrated with data from an agricultural experiment.