CONE ORDER MONOTONICITY OF TESTS FOR TREATMENTS VERSUS A CONTROL
We consider an experiment which consists of k treatment groups and a control group. These groups are normally distributed. The likelihood ratio test (LRT) for testing homogeneity of treatment means and the control mean against the alternative restricted by the simple tree ordering with at least one strict inequality is not cone order monotone In this paper, we consider a LRT for testing homogeneity against the alternative restricted by with at least one strict inequality, where The LRT is We also prove that the multiple contrast test statistic in Lee et al. [12] is both and A simulation study is conducted to investigate the power performance of these three test statistics and the Dunnett’s test.
cone order monotonicity, Dunnett’s test, likelihood ratio test, simple tree ordering.