Construction of E(s^2)-optimal supersaturated designs

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dc.creatorBulutoglu, Dursun A.
dc.creatorCheng, Ching-Shui
dc.date2004-10-05
dc.date.accessioned2026-07-07T08:06:32Z
dc.date.available2026-07-07T08:06:32Z
dc.descriptionBooth and Cox proposed the E(s^2) 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(s^2). 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(s^2)-optimal designs are obtained by using a computer to search for designs that achieve the improved bounds.
dc.descriptionPublished by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Statistics (http://www.imstat.org/aos/) at http://dx.doi.org/10.1214/009053604000000472
dc.identifierhttps://arxiv.org/abs/math/0410090
dc.identifierhttp://arxiv.org/abs/math/0410090
dc.identifierAnnals of Statistics 2004, Vol. 32, No. 4, 1662-1678
dc.identifierdoi:10.1214/009053604000000472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130636
dc.subjectStatistics Theory
dc.subject62K15 (Primary) 62K10 (Secondary)
dc.titleConstruction of E(s^2)-optimal supersaturated designs
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