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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
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
0167-9473
17-25
Hayter, A.J.
d09cb9d1-c4ca-45fb-b8e3-e63c08f1bd4f
Liu, W.
b64150aa-d935-4209-804d-24c1b97e024a
Hayter, A.J.
d09cb9d1-c4ca-45fb-b8e3-e63c08f1bd4f
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 & Data Analysis, 22 (1), 17-25. (doi:10.1016/0167-9473(96)88031-5).

Record type: Article

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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More information

Published date: 1996
Keywords: analysis of variance, critical point calculation, order restricted inference, multiple comparisons
Organisations: Statistics

Identifiers

Local EPrints ID: 30079
URI: https://eprints.soton.ac.uk/id/eprint/30079
ISSN: 0167-9473
PURE UUID: 00aa448e-f208-4d69-8e6a-9eca4b24c5b3
ORCID for W. Liu: ORCID iD orcid.org/0000-0002-4719-0345

Catalogue record

Date deposited: 15 Mar 2007
Last modified: 08 Oct 2019 00:55

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