Gerami, A., Lewis, S.M., Majumdar, D. and Notz, W.I.
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).
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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.
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