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The construction of upper confidence bounds on the range of several location parameters

The construction of upper confidence bounds on the range of several location parameters
The construction of upper confidence bounds on the range of several location parameters
This article considers the construction of an upper confidence bound on the range of a set of k location parameters, such as the k treatment effects in a one-way layout. This confidence bound will be useful to the experimenter in assessing the “equivalence” of the location parameters. Some general theoretical results are presented and the case of normally distributed data is considered in detail, with accompanying tables of confidence bounds. Some examples of the application of this new inference method are given.
analysis of variance, confidence bound, equivalence of means, least favourable configuration, normal distribution
0162-1459
906-911
Bofinger, Eve
bad90d41-3717-4db0-9888-0d7d1e1f2d81
Hayter, Anthony J.
0ac7de8f-0995-4766-afc0-c0c95313e94d
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
Bofinger, Eve
bad90d41-3717-4db0-9888-0d7d1e1f2d81
Hayter, Anthony J.
0ac7de8f-0995-4766-afc0-c0c95313e94d
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a

Bofinger, Eve, Hayter, Anthony J. and Liu, Wei (1993) The construction of upper confidence bounds on the range of several location parameters. Journal of the American Statistical Association, 88 (423), 906-911. (doi:10.2307/2290780).

Record type: Article

Abstract

This article considers the construction of an upper confidence bound on the range of a set of k location parameters, such as the k treatment effects in a one-way layout. This confidence bound will be useful to the experimenter in assessing the “equivalence” of the location parameters. Some general theoretical results are presented and the case of normally distributed data is considered in detail, with accompanying tables of confidence bounds. Some examples of the application of this new inference method are given.

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More information

Published date: 1993
Keywords: analysis of variance, confidence bound, equivalence of means, least favourable configuration, normal distribution
Organisations: Statistical Sciences Research Institute

Identifiers

Local EPrints ID: 381068
URI: https://eprints.soton.ac.uk/id/eprint/381068
ISSN: 0162-1459
PURE UUID: 8293790a-7509-4f7d-8fed-7875cc19b3c5
ORCID for Wei Liu: ORCID iD orcid.org/0000-0002-4719-0345

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Date deposited: 05 Oct 2015 10:54
Last modified: 06 Jun 2018 13:11

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Contributors

Author: Eve Bofinger
Author: Anthony J. Hayter
Author: Wei Liu ORCID iD

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