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 journalArticlepeer-review

81 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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