Construction of E(s^2)-optimal supersaturated designs
By Dursun A. Bulutoglu, Ching-Shui Cheng. 2004
75 citations recorded by the source corpus.
Booth 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.
Subfields: Computational Theory and Mathematics, Management Science and Operations Research, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/c8d510a74aae7005817434a67a5d6840c6895313
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In Computational Theory and Mathematics
In Management Science and Operations Research
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Citations in the corpus
- Construction of Optimal Multi-Level Supersaturated Designs (2005, methodology): “proposed for constructing two-level SSDs in the last decade, for example, among others, Lin [18, 19], Wu [30], Nguyen [25], Cheng [10], Li and Wu [16], Tang and Wu [29], Butler, Mead, Eskridge and Gilmour [7], Bulutoglu and Cheng [ 6 ] and Liu and Dean [20].”
- Optimal Supersaturated Designs (2014, methodology): “The Bulutoglu and Cheng (2004) bounds are the best available in the literature.”