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

Hayter (J. Amer. Statist. Assoc. 85 (1990)) proposed a one-sided studentized range test (OSRT) for testing the null hypothesis H 0: μ 1 = … = μ k against the simple ordered alternative H a: μ 1 ≤ … ≤ μ k in a one-way layout. The size and power of this test, however, are quite difficult to calculate....

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Bibliographic Details
Published in:Computational statistics & data analysis 1996-06, Vol.22 (1), p.17-25
Main Authors: Hayter, A.J., Liu, W.
Format: Article
Language:English
Subjects:
Analysis of variance
Critical point calculation
Exact sciences and technology
Linear inference, regression
Mathematics
Multiple comparisons
Order restricted inference
Probability and statistics
Sciences and techniques of general use
Statistics
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Summary:Hayter (J. Amer. Statist. Assoc. 85 (1990)) proposed a one-sided studentized range test (OSRT) for testing the null hypothesis H 0: μ 1 = … = μ k against the simple ordered alternative H a: μ 1 ≤ … ≤ μ 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.
ISSN:0167-9473
1872-7352
DOI:10.1016/0167-9473(96)88031-5