Exact calculations for the one-sided studentized range test for testing against a simple ordered alternative


Hayter, A.J. and Liu, W. (1996) Exact calculations for the one-sided studentized range test for testing against a simple ordered alternative. Computational Statistics & Data Analysis, 22, (1), 17-25. (doi:10.1016/0167-9473(96)88031-5).

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Description/Abstract

Hayter (J. Amer. Statist. Assoc. 85 (1990)) proposed a one-sided studentized range test (OSRT) for testing the null hypothesis H0: μ1 = … = μk against the simple ordered alternative Ha: μ1 ≤ … ≤ μk 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.

Item Type: Article
ISSNs: 0167-9473 (print)
Related URLs:
Keywords: analysis of variance, critical point calculation, order restricted inference, multiple comparisons
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 30079
Date Deposited: 15 Mar 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/30079

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