Construction of E(s2)-optimal supersaturated designs

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61 citations0/0 files storedThe Annals of Statistics

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Advanced Statistical Methods and Models

Abstract

Booth and Cox proposed the E(s2) criterion for constructing two-level supersaturated designs. Nguyen [Technometrics 38 (1996) 69–73] and Tang and Wu [Canad. J. Statist 25 (1997) 191–201] independently derived a lower bound for E(s2). This lower bound can be achieved only when m is a multiple of N−1, where m is the number of factors and N is the run size. We present a method that uses difference families to construct designs that satisfy this lower bound. We also derive better lower bounds for the case where the Nguyen–Tang–Wu bound is not achievable. Our bounds cover more cases than a bound recently obtained by Butler, Mead, Eskridge and Gilmour [J. R. Stat. Soc. Ser. B Stat. Methodol. 63 (2001) 621–632]. New E(s2)-optimal designs are obtained by using a computer to search for designs that achieve the improved bounds.

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References

1993A New Class of Supersaturated Designs 1962Some Systematic Supersaturated Designs 1993Construction of Supersaturated Designs Through Partially Aliased Interactions 1996An Algorithmic Approach to Constructing Supersaturated Designs 1997Columnwise-Pairwise Algorithms With Applications to the Construction of Supersaturated Designs 1997A method for constructing supersaturated designs and its Es2 optimality 2001A General Method of Constructing E(s2)-Optimal Supersaturated Designs

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2014Optimal Supersaturated Designs 2008NewE(S2)-Optimal Supersaturated Designs Constructed From Incomplete Block Designs 2015Design of Experiments for Screening 2006-Optimal supersaturated designs with good minimax properties 2015Optimizing Two-Level Supersaturated Designs Using Swarm Intelligence Techniques 2006Factor Screening via Supersaturated Designs

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