Hayter, A.J. and Liu, W.
Exact calculations for the one-sided studentized range test for testing against a simple ordered alternative.
Computational Statistics & Data Analysis, 22, (1), . (doi:10.1016/0167-9473(96)88031-5).
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Hayter (J. Amer. Statist. Assoc. 85 (1990)) proposed a one-sided studentized range test (OSRT) for testing the null hypothesis H0: ?1 = … = ?k against the simple ordered alternative Ha: ?1 ? … ? ?k in a one-way layout. The size and power of this test, however, are quite difficult to calculate. The method suggested in Hayter (J. Amer. Statist. Assoc. 85 (1990)) for critical point computation works only for small k. The method introduced in this paper works for much larger k, and also works for the power calculation. Some tables of critical points and minimum sample sizes satisfying certain power requirements are provided.
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