Statistical isomorphism of three-level fractional factorial designs

Pi Wen Tsai*, Steven G. Gilmour, Roger Mead

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 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
Externally publishedYes


  • Efficiency
  • Optimal design
  • Orthogonal array

ASJC Scopus subject areas

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


Dive into the research topics of 'Statistical isomorphism of three-level fractional factorial designs'. Together they form a unique fingerprint.

Cite this