A General Method of Constructing <i>E</i>(<i>s</i>2)-Optimal Supersaturated Designs

Abstract

Summary 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(s2)-optimality criterion originally proposed by Booth and Cox in 1962. However, until now E(s2)-optimal designs have only been established with certainty for n experimental runs when the number of factors m is a multiple of n-1, and in adjacent cases where m=q( n-1) +r (|r|⩽2, q an integer). A method of constructing E(s2)-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.