Efficient block designs for comparing dual with single treatments.
Efficient block designs for comparing dual with single treatments.
Experiments in blocks having two treatment factors are considered in which a particular treatment must be excluded. The work is motivated by medical trials of two drugs in which a double placebo cannot be administered on ethical grounds. The contrasts of interest compare the effects of having both treatment factor at non-zero labelled levels with the effects of having only one treatment factor at a non-zero labelled level. For nx2 experiments, a class of designs containing highly efficient members is identified and a lower bound on the efficiencies of designs in this class is derived. Tables of efficient designs are provided.
a-optimality, dual versus single treatment contrasts, factorial experiment, lower bound, part-balance
247-263
Gerami, A.
b7091554-a288-4748-b4a8-90c66b23579a
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Majumdar, D.
35e559d8-6d40-47d5-b6bc-7a84ac1e01d7
Notz, W.I.
cc1ba6fc-d414-4345-838a-3f5d68d53b12
1998
Gerami, A.
b7091554-a288-4748-b4a8-90c66b23579a
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Majumdar, D.
35e559d8-6d40-47d5-b6bc-7a84ac1e01d7
Notz, W.I.
cc1ba6fc-d414-4345-838a-3f5d68d53b12
Gerami, A., Lewis, S.M., Majumdar, D. and Notz, W.I.
(1998)
Efficient block designs for comparing dual with single treatments.
Journal of Statistical Planning and Inference, 72 (1), .
(doi:10.1016/S0378-3758(98)00035-4).
Abstract
Experiments in blocks having two treatment factors are considered in which a particular treatment must be excluded. The work is motivated by medical trials of two drugs in which a double placebo cannot be administered on ethical grounds. The contrasts of interest compare the effects of having both treatment factor at non-zero labelled levels with the effects of having only one treatment factor at a non-zero labelled level. For nx2 experiments, a class of designs containing highly efficient members is identified and a lower bound on the efficiencies of designs in this class is derived. Tables of efficient designs are provided.
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Published date: 1998
Keywords:
a-optimality, dual versus single treatment contrasts, factorial experiment, lower bound, part-balance
Organisations:
Statistics
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Local EPrints ID: 30060
URI: http://eprints.soton.ac.uk/id/eprint/30060
ISSN: 0378-3758
PURE UUID: b00668db-bef8-4d1f-9cda-0c34c2e2a0ad
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Date deposited: 14 Mar 2007
Last modified: 15 Mar 2024 07:37
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Contributors
Author:
A. Gerami
Author:
S.M. Lewis
Author:
D. Majumdar
Author:
W.I. Notz
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