Exact calculations for the one-sided studentized range test for testing against a simple ordered alternative
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 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.
analysis of variance, critical point calculation, order restricted inference, multiple comparisons
17-25
Hayter, A.J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
1996
Hayter, A.J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
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 and Data Analysis, 22 (1), .
(doi:10.1016/0167-9473(96)88031-5).
Abstract
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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Published date: 1996
Keywords:
analysis of variance, critical point calculation, order restricted inference, multiple comparisons
Organisations:
Statistics
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Local EPrints ID: 30079
URI: http://eprints.soton.ac.uk/id/eprint/30079
ISSN: 0167-9473
PURE UUID: 00aa448e-f208-4d69-8e6a-9eca4b24c5b3
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Date deposited: 15 Mar 2007
Last modified: 16 Mar 2024 02:42
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Author:
A.J. Hayter
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