On E(s)-optimal supersaturated designs |
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| Authors: | Ashish Das Aloke Dey Ling-Yau Chan Kashinath Chatterjee |
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| Institution: | 1. Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400076, India;2. Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, New Delhi 110 016, India;3. Department of Industrial and Manufacturing Systems Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China;4. Department of Statistics, Visva Bharati University, Santiniketan, India |
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| Abstract: | A popular measure to assess 2-level supersaturated designs is the E(s2) criterion. In this paper, improved lower bounds on E(s2) are obtained. The same improvement has recently been established by Ryan and Bulutoglu 2007. E(s2)-optimal supersaturated designs with good minimax properties. J. Statist. Plann. Inference 137, 2250–2262]. However, our analysis provides more details on precisely when an improvement is possible, which is lacking in Ryan and Bulutoglu 2007. E(s2)-optimal supersaturated designs with good minimax properties. J. Statist. Plann. Inference 137, 2250–2262]. The equivalence of the bounds obtained by Butler et al. 2001. A general method of constructing E(s2)-optimal supersaturated designs. J. Roy. Statist. Soc. B 63, 621–632] (in the cases where their result applies) and those obtained by Bulutoglu and Cheng 2004. Construction of E(s2)-optimal supersaturated designs. Ann. Statist. 32, 1662–1678] is established. We also give two simple methods of constructing E(s2)-optimal designs. |
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| Keywords: | Effect sparsity Lower bound Screening designs |
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