A general method of constructing E(s2)-optimal supersaturated designs

Neil A. Butler, Roger Mead, Kent M. Eskridge, Steven G. Gilmour

Research output: Contribution to journalArticle

75 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)621-632
Number of pages12
JournalJournal of the Royal Statistical Society. Series B: Statistical Methodology
Issue number3
StatePublished - 2001


  • Balanced incomplete-block designs
  • Cyclic generators
  • Effect sparsity
  • Hadamard matrices
  • Lower bound
  • Orthogonality
  • Plackett-Burman designs
  • Screening designs

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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