The University of Southampton
University of Southampton Institutional Repository

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.

This record has no associated files available for download.

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
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

Export record

Altmetrics

Contributors

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

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×