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This paper considers simple tree order restriction in 2×k cohort study and provides a consistent test in which the usual multiple comparison test statistics are modified by using the characteristic roots of a consistent estimator of the associated correlation matrix. The relevant performance measures of the proposed test are obtained and are compared numerically with existing competitors via simulation. It is shown that the proposed test is comparable to or better than the competitors in terms of type I error rate and power. Finally, data study illustrates the use of such a test.

A New Test for Simple Tree Alternative in a 2 x k Table