Construction of E (fNOD)-Optimal Supersaturated Designs VIA Room Squares

Kai Tai Fang, Gen Nian Ge, Min Qian Liu

Research output: Contribution to journalJournal articlepeer-review

12 Citations (Scopus)


Supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. And Room square is an important object in combinatorial design theory. We show a link between these two apparently unrelated kinds of designs. E (fNOD) criterion for comparing supersaturated designs is proposed and a lower bound of E (fNOD) is obtained as a benchmark of design optimality. It is shown that the E (fNOD) criterion is an extension of the popular E(s2) and ave x2 criterion (for two- and three-level supersaturated designs respectively). A new construction method for multi-level supersaturated designs via Room squares is also proposed and some properties of the resulting designs are investigated.

Original languageEnglish
Pages (from-to)71-84
Number of pages14
JournalCalcutta Statistical Association Bulletin
Issue number1-4
Publication statusPublished - Mar 2002
Externally publishedYes

Scopus Subject Areas

  • Statistics and Probability

User-Defined Keywords

  • E (fNOD)-optimal
  • Room square
  • Supersaturated design
  • U-type design


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