Title

Construction of E(S2)-Optimal Supersaturated Designs

Document Type

Article

Publication Date

2004

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.

Comments

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Previous version: arXiv:math/0410090v1 [math.ST]. https://arxiv.org/

Reviewed at MR2089137

DOI

10.1214/009053604000000472

Source Publication

The Annals of Statistics

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