A review of uniform cross-over designs |
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Authors: | S.T. Bate B. Jones |
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Affiliation: | 1. Biostatistics and Data Sciences, GlaxoSmithKline Pharmaceuticals, Harlow, Essex CM19 5AW, UK;2. Statistical Research and Consulting Centre, Pfizer Global Research and Development, Sandwich, Kent CT13 9NJ, UK |
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Abstract: | Uniform cross-over designs form an important family of experimental designs. They have been applied in many scientific disciplines including clinical trials, agricultural studies and psychological experiments. In this paper we consider the four types of uniform cross-over design, as given by Williams [1949. Experimental designs balanced for the estimation of residual effects of treatments. Aust. J. Sci. Res. 2, 149–168], Cheng and Wu [1980. Balanced repeated measurements designs. Ann. Statist. 8, 1272–1283. Corrigendum 11 (1983) 349], Bate and Jones [2006. The construction of nearly balanced and nearly strongly balanced uniform cross-over designs. J. Statist. Plann. Inference 136, 3248–3267] and Kunert [1983. Optimal design and refinement of the linear model with applications to repeated measurements designs. Ann. Statist. 11, 247–257]. The efficiency of these designs, existence criteria and methods of construction are described. |
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Keywords: | Bricks Carry-over effects Cross-over design Balanced Strongly balanced Nearly strongly balanced Nearly balanced Uniform Universal optimality |
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