Bayes A-optimal designs for comparing test treatments with a control |
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| Institution: | 1. CSIR-Institute of Microbial Techonology, Chandigarh 160036; Academy of Scientific and Innovative Research, Ghaziabad 201002, India;2. Department of Chemistry, University of Jammu, Jammu 180006, India;1. University of Foggia, Department of Economics, Via R. Caggese, 1, 7121, Foggia, Italy;2. University of Bari, Department of Chemistry, Taranto Branch, Via Alcide de Gasperi, 74123, Taranto, Italy;1. Groupe d’Etude des Interactions Hôte-Pathogène (GEIHP, EA 3142), SFR ICAT 4208, UNIV Angers, UNIV Brest, Angers, France;2. Department of Biochemistry and Molecular Biology, Center for Advanced Biotechnology and Medicine, Rutgers-Robert Wood Johnson Medical School, Piscataway, NJ, USA;1. Department of Nutrition and Food Science, Wayne State University, 5045 Cass Ave, Detroit, MI 48202, United States;2. Nutrition and Food Management, Human Environmental Sciences, Box 118, University of Central Oklahoma, 100 N. University Drive, Edmond, OK 73034, United States |
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| Abstract: | The problem of comparing v test treatments simultaneously with a control treatment when k, v ? 3 is considered. Following the work of Majumdar (1992), we use exact design theory to derive Bayes A-optimal block designs and optimal Г-minimax designs for a more general prior assumption for the one-way elimination of heterogeneity model. Examples of robust optimal designs, highly efficient designs, and the comparisons of the approximate optimal designs that are derived by our methods and by some other existing rounding-off schemes when using Owen's procedure are also provided. |
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