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The power function of the studentised range test

The power function of the studentised range test
The power function of the studentised range test
In this paper we investigate the power function of the Studentised range test for comparing the means of normal populations in the one-way fixed effects analysis of variance model. The main results provide rigorous proofs of certain least favourable configurations of population means. These results are important in the calculation of the sample sizes required to guarantee power levels under certain restrictions on the ranges of the population means.
multiple comparisons, analysis of variance, studentised range, power function, least favourable configuration
0090-5364
465-468
Hayter, A.J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
Hayter, A.J.
55bd07a5-db1d-4d3d-8c87-b307485420d9
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a

Hayter, A.J. and Liu, Wei (1990) The power function of the studentised range test. The Annals of Statistics, 18 (1), 465-468. (doi:10.1214/aos/1176347512).

Record type: Article

Abstract

In this paper we investigate the power function of the Studentised range test for comparing the means of normal populations in the one-way fixed effects analysis of variance model. The main results provide rigorous proofs of certain least favourable configurations of population means. These results are important in the calculation of the sample sizes required to guarantee power levels under certain restrictions on the ranges of the population means.

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More information

Published date: 1990
Keywords: multiple comparisons, analysis of variance, studentised range, power function, least favourable configuration
Organisations: Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 381075
URI: http://eprints.soton.ac.uk/id/eprint/381075
DOI: doi:10.1214/aos/1176347512
ISSN: 0090-5364
PURE UUID: af8b8862-1327-40de-af2e-a7243fe75079
ORCID for Wei Liu: ORCID iD orcid.org/0000-0002-4719-0345

Catalogue record

Date deposited: 05 Oct 2015 11:27
Last modified: 15 Mar 2024 02:43

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Contributors

Author: A.J. Hayter
Author: Wei Liu ORCID iD

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