Two-sample median test for order restricted randomized designs

A two-sample Mood median test, along with an associated confidence interval, is developed for the contrast parameter of the treatment and control medians, under an order restricted randomization. The exact and asymptotic null distributions of the test statistic are derived. It is shown that the proposed test is superior to the corresponding procedures based on completely randomized and ranked set sampling designs both in asymptotic relative efficiency and in empirical power study.