A general method of constructing E(s2)-optimal supersaturated designs |
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Authors: | Neil A Butler Roger Mead Kent M Eskridge & Steven G Gilmour |
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Institution: | University of Reading, UK,;University of Nebraska, Lincoln, USA,;Queen Mary and Westfield College, London, UK |
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Abstract: | There has been much recent interest in supersaturated designs and their application in factor screening experiments. Supersaturated designs have mainly been constructed by using the E ( s 2)-optimality criterion originally proposed by Booth and Cox in 1962. However, until now E ( s 2)-optimal designs have only been established with certainty for n experimental runs when the number of factors m is a multiple of n-1 , and in adjacent cases where m = q ( n -1) + r (| r | 2, q an integer). A method of constructing E ( s 2)-optimal designs is presented which allows a reasonably complete solution to be found for various numbers of runs n including n ,=8 12, 16, 20, 24, 32, 40, 48, 64. |
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Keywords: | Balanced incomplete-block designs Cyclic generators Effect sparsity Hadamard matrices Lower bound Orthogonality Plackett–Burman designs Screening designs |
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