Optimal mixed-level supersaturated design

Kai Tai Fang, K. J. Lin Dennis*, Min Qian Liu

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

111 Citations (Scopus)
2 Downloads (Pure)

Abstract

A supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. In this paper, E(fNOD) criterion is employed for comparing supersaturated designs from the viewpoint of orthogonality and uniformity, and a lower bound of E(fNOD) which can serve as a benchmark of design optimality is obtained. It is shown that the existing E(s2) and ave x2 criteria (for two- and three-level supersaturated designs respectively) are in fact special cases of this criterion. Furthermore, a construction method for mixed-level supersaturated designs is proposed and some properties of the resulting designs are investigated.

Original languageEnglish
Pages (from-to)279-291
Number of pages13
JournalMetrika
Volume58
Issue number3
DOIs
Publication statusPublished - Dec 2003
Externally publishedYes

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

User-Defined Keywords

  • Discrepancy
  • Hamming distance
  • Orthogonal array
  • Supersatu-rated design
  • U-type design
  • Uniformity

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