The University of Southampton
University of Southampton Institutional Repository

Combining the advantages of one-sided and two-sided test procedures for comparing several treatments with a control.

Combining the advantages of one-sided and two-sided test procedures for comparing several treatments with a control.
Combining the advantages of one-sided and two-sided test procedures for comparing several treatments with a control.
Consider the standard problem of investigating whether any of k treatments are better than a control. A two-sided procedure provides both upper and lower bounds on the differences between each treatment and the control, whereas a one-sided procedure only provides lower bounds on these differences. However, the one-sided procedure allows sharper inferences regarding which treatments can be declared to be better than the control. In this paper we develop a new procedure which combines the good aspects of both the one-sided and the two-sided procedures. This new procedure maintains the inferential sensitivity of the one-sided procedure while also providing both upper and lower bounds on the differences between each treatment and the control. A new set of critical points is needed which are tabulated for the balanced case where the treatment sample sizes are all equal. More generally, the new procedure is applicable to any set of correlated or uncorrelated parameter estimates.
acceptance sets, comparisons with a control, critical points, directional decisions, orthogonal contrasts, simultaneous confidence intervals
0378-3758
81-99
Hayter, A.J.
d09cb9d1-c4ca-45fb-b8e3-e63c08f1bd4f
Miwa, Tetsuhisa
cb4e7293-e076-437a-b31c-b5dd6c6a3b4a
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a
Hayter, A.J.
d09cb9d1-c4ca-45fb-b8e3-e63c08f1bd4f
Miwa, Tetsuhisa
cb4e7293-e076-437a-b31c-b5dd6c6a3b4a
Liu, Wei
b64150aa-d935-4209-804d-24c1b97e024a

Hayter, A.J., Miwa, Tetsuhisa and Liu, Wei (2000) Combining the advantages of one-sided and two-sided test procedures for comparing several treatments with a control. Journal of Statistical Planning and Inference, 86 (1), 81-99. (doi:10.1016/S0378-3758(99)00161-5).

Record type: Article

Abstract

Consider the standard problem of investigating whether any of k treatments are better than a control. A two-sided procedure provides both upper and lower bounds on the differences between each treatment and the control, whereas a one-sided procedure only provides lower bounds on these differences. However, the one-sided procedure allows sharper inferences regarding which treatments can be declared to be better than the control. In this paper we develop a new procedure which combines the good aspects of both the one-sided and the two-sided procedures. This new procedure maintains the inferential sensitivity of the one-sided procedure while also providing both upper and lower bounds on the differences between each treatment and the control. A new set of critical points is needed which are tabulated for the balanced case where the treatment sample sizes are all equal. More generally, the new procedure is applicable to any set of correlated or uncorrelated parameter estimates.

Full text not available from this repository.

More information

Published date: 2000
Keywords: acceptance sets, comparisons with a control, critical points, directional decisions, orthogonal contrasts, simultaneous confidence intervals
Organisations: Statistics

Identifiers

Local EPrints ID: 30098
URI: https://eprints.soton.ac.uk/id/eprint/30098
ISSN: 0378-3758
PURE UUID: f9c0904f-1353-479e-a078-28d682db7954
ORCID for Wei Liu: ORCID iD orcid.org/0000-0002-4719-0345

Catalogue record

Date deposited: 20 Jul 2006
Last modified: 06 Jun 2018 13:11

Export record

Altmetrics

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 https://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.

×