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August 2004 Construction of E(s2)-optimal supersaturated designs
Dursun A. Bulutoglu, Ching-Shui Cheng
Ann. Statist. 32(4): 1662-1678 (August 2004). DOI: 10.1214/009053604000000472


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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Dursun A. Bulutoglu. Ching-Shui Cheng. "Construction of E(s2)-optimal supersaturated designs." Ann. Statist. 32 (4) 1662 - 1678, August 2004.


Published: August 2004
First available in Project Euclid: 4 August 2004

zbMATH: 1105.62362
MathSciNet: MR2089137
Digital Object Identifier: 10.1214/009053604000000472

Primary: 62K15
Secondary: 62K10

Keywords: balanced incomplete block designs , difference families , effect sparsity , Hadamard matrices

Rights: Copyright © 2004 Institute of Mathematical Statistics

Vol.32 • No. 4 • August 2004
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