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Efficient block designs for comparing dual with single treatments.

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
0378-3758
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
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), 247-263. (doi:10.1016/S0378-3758(98)00035-4).

Record type: Article

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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More information

Published date: 1998
Keywords: a-optimality, dual versus single treatment contrasts, factorial experiment, lower bound, part-balance
Organisations: Statistics

Identifiers

Local EPrints ID: 30060
URI: https://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: 17 Jul 2017 15:55

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