A General Method of Constructing E(s2)-Optimal Supersaturated Designs

Abstract

There has been much recent interest in supersaturated designs and their application in factor screening experiments. Supersaturated designs have mainly been constructed by using the E s 2 -optimality criterion originally proposed by Booth and Cox in 1962. However, until now E (s 2 )optimal designs have only been established with certainty for n experimental runs when the number of factors m is a multiple of n À 1, and in adjacent cases where m q(n À 1) r (jr j 4 2, q an integer). A method of constructing E (s 2 )-optimal designs is presented which allows a reasonably complete solution to be found for various numbers of runs n including n 8, 12, 16, 20, 24, 32, 40, 48, 64.

Lean optimization using supersaturated experimental design

“…Later, the same author presented an algorithm that uses computer search for constructing supersaturated designs for a given degree of column non-orthogonality [12]. Other algorithms for constructing supersaturated designs with respect to different design properties can be found in [5,6,10,14,16,19,23]. The performance of supersaturated designs and their ability to identify important factors depending on criteria used for design generation has been studied, for example, in [1,2].…”

Supersaturated designs of projectivity P=3 or near P=3

“…So far few applications of supersaturated designs have been reported, but the potential for various fields of research to benefit from their use has been pointed out. Examples are computer and medical experiments (Lin, 1995), industrial and engineering experiments (Wu, 1993;Nguyen, 1996) and biometric applications (Butler et al, 2001). See also Dejaegher and Heyden (2008).…”

Group screening method for the statistical analysis ofE(fNOD)-optimal mixed-level supersaturated designs

“…Since then, many researchers have investigated the construction of twolevel supersaturated designs. Some important works in this area include [4][5][6][7][8][9][10][11][12][13][14][15].…”