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
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
1999
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), .
(doi:10.1016/S0378-3758(98)00197-9).
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.
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Published date: 1999
Keywords:
[mathematical subject codes] 62K10, [mathematical subject codes] 62K15, carryover effect, crossover design, efficiency, universal optimality
Organisations:
Statistics
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Local EPrints ID: 30063
URI: http://eprints.soton.ac.uk/id/eprint/30063
ISSN: 0378-3758
PURE UUID: 20717ab8-6ceb-4d00-a91a-725ce8370349
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Date deposited: 14 Mar 2007
Last modified: 15 Mar 2024 07:37
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Author:
A.M. Dean
Author:
S.M. Lewis
Author:
J.Y. Chang
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