The University of Southampton
University of Southampton Institutional Repository

Nested changeover designs.

Nested changeover designs.
Nested changeover designs.
Nested changeover designs are described for experiments in which subjects are required to perform a series of tasks (levels of a factor B) under a given set of experimental conditions in any one session. The conditions (levels of a factor A) are changed from one session to another. Within each session, carryover effects may occur. This paper defines a class of nested changeover designs which are universally optimal for estimating the direct effects of the treatment combinations when observations are independent and identically distributed. A subclass is identified which has the additional property of universal optimality for estimating the carryover effects of factor B. Designs which require fewer resources, and yet retain some optimality properties, are also investigated.
[mathematical subject codes] 62K10, [mathematical subject codes] 62K15, carryover effect, crossover design, efficiency, universal optimality
0378-3758
337-351
Dean, A.M.
8e7d48e9-9655-4ab9-9c50-1843cd36b16c
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Chang, J.Y.
555088a4-bf99-47b1-a35c-1454d38a7b07
Dean, A.M.
8e7d48e9-9655-4ab9-9c50-1843cd36b16c
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Chang, J.Y.
555088a4-bf99-47b1-a35c-1454d38a7b07

Dean, A.M., Lewis, S.M. and Chang, J.Y. (1999) Nested changeover designs. Journal of Statistical Planning and Inference, 77 (2), 337-351. (doi:10.1016/S0378-3758(98)00197-9).

Record type: Article

Abstract

Nested changeover designs are described for experiments in which subjects are required to perform a series of tasks (levels of a factor B) under a given set of experimental conditions in any one session. The conditions (levels of a factor A) are changed from one session to another. Within each session, carryover effects may occur. This paper defines a class of nested changeover designs which are universally optimal for estimating the direct effects of the treatment combinations when observations are independent and identically distributed. A subclass is identified which has the additional property of universal optimality for estimating the carryover effects of factor B. Designs which require fewer resources, and yet retain some optimality properties, are also investigated.

This record has no associated files available for download.

More information

Published date: 1999
Keywords: [mathematical subject codes] 62K10, [mathematical subject codes] 62K15, carryover effect, crossover design, efficiency, universal optimality
Organisations: Statistics

Identifiers

Local EPrints ID: 30063
URI: http://eprints.soton.ac.uk/id/eprint/30063
ISSN: 0378-3758
PURE UUID: 20717ab8-6ceb-4d00-a91a-725ce8370349

Catalogue record

Date deposited: 14 Mar 2007
Last modified: 15 Mar 2024 07:37

Export record

Altmetrics

Contributors

Author: A.M. Dean
Author: S.M. Lewis
Author: J.Y. Chang

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.

×