On the minimum bias response surface designs of Box and Draper |
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| Institution: | 1. Lappeenranta University of Technology, LUT Chemistry, Laboratory of Green Chemistry, Sammonkatu 12, FI-50130 Mikkeli, Finland;2. Colleges of Chemistry & Chemical Engineering, Hunan Normal University, China;3. University of Jyväskylä, Department of Chemistry, Laboratories of Inorganic and Analytical Chemistry, P.O. Box 35, FI-40014 Jyväskylä, Finland;4. Department of Environmental Science, University of Eastern Finland, P.O. Box 1627, FI-70211 Kuopio, Finland;1. Department of Pharmaceutics, College of Pharmacy, King Saud University, P.O. Box 2457, Riyadh 11451, Saudi Arabia;2. Department of Microbiology and Immunology, Faculty of Pharmacy, Al-Azhar University, Cairo, Egypt |
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| Abstract: | The minimum bias design criterion is an important part of response surface methodology. In this paper, necessary and sufficient conditions for minimum bias designs are derived in terms of the design moments. It is shown that the sufficient conditions of Box and Draper (J. Amer. Statist. Assoc. 54 (1959) 622) are sometimes, but not always, necessary depending on the order of the polynomial model and the number of factors. |
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