Optimal mixed-level supersaturated designs and a new class of combinatorial designs

Yu Tang, Mingyao Ai, Gennian Ge*, Kai-Tai Fang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

13 Citations (Scopus)
2 Downloads (Pure)


This paper considers the construction of optimal mixed-level supersaturated designs under the E (χ2)-optimality criterion. According to a lower bound of the E (χ2) value, a combinatorial construction method is proposed and illustrated. Meanwhile, a new class of combinatorial designs is put forward. Furthermore, some methods for constructing these combinatorial designs which correspond to E (χ2)-optimal mixed-level supersaturated designs are provided. All of these results extend the catalogue of E (χ2)-optimal mixed-level supersaturated designs.

Original languageEnglish
Pages (from-to)2294-2301
Number of pages8
JournalJournal of Statistical Planning and Inference
Issue number7
Publication statusPublished - 1 Jul 2007
Externally publishedYes

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

User-Defined Keywords

  • Balanced
  • E (χ)-optimality
  • Mixed-level
  • Supersaturated design
  • Uniformly resolvable
  • Weighted design


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