Statistical isomorphism of three-level fractional factorial designs

Pi Wen Tsai, Steven G. Gilmour, Roger Mead

Research output: Contribution to journalArticle

4 Citations (Scopus)


From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 33 factorial design in 18 runs.

Original languageEnglish
Pages (from-to)3-9
Number of pages7
JournalUtilitas Mathematica
Publication statusPublished - 2006 Jul 1


  • Efficiency
  • Optimal design
  • Orthogonal array

ASJC Scopus subject areas

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

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