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Abstract Details
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Activity Number:
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128
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Type:
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Contributed
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Date/Time:
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Monday, August 1, 2011 : 8:30 AM to 10:20 AM
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Sponsor:
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International Chinese Statistical Association
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| Abstract - #301546 |
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Title:
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Exact D-Optimal Designs for Scheffé Quadratic Models with Mixtures
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Author(s):
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Mong-Na Lo Huang*+ and Hsiang-Ling Hsu and Shian-Chung Wu
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Companies:
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National Sun Yat-sen University and National Sun Yat-sen University and National Sun Yat-sen University
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Address:
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No. 70 Lienhai Rd. , Kaohsiung, International, 80424, Taiwan, R.O.C.
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Keywords:
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Equivalence theorem ;
orthogonal polynomials ;
geometric-arithmetic inequality for matrices
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Abstract:
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In this work, exact D-optimal designs for Scheffé quadratic models with mixtures are investigated. In the mixture experiment considered, it is assumed the measure response depends only on the proportions of the q ingredients present in the mixture. By using the equivalence theorem for the approximate D-optimal designs and geometric-arithmetic inequalities for matrices, we show that for given sample size N large enough, there are exact D-optimal designs supported as evenly as possible on the supports of the approximate D-optimal designs for some q.
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