Efficient block designs for comparing dual with single treatments.

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).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/S0378-3758(98)00035-4
ISSNs: 0378-3758 (print)
Related URLs:
Keywords: a-optimality, dual versus single treatment contrasts, factorial experiment, lower bound, part-balance
Subjects: Q Science > QA Mathematics
H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 30060
Accepted Date and Publication Date:
Date Deposited: 14 Mar 2007
Last Modified: 31 Mar 2016 11:56
URI: http://eprints.soton.ac.uk/id/eprint/30060

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