A note on uniformity and orthogonality

Chang Xing Ma, Kai Tai Fang, Dennis K.J. Lin

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


Fang et al. (Technometrics 42 (2000) 237) proposed a united approach for searching orthogonal fractional factorial designs. They conjecture an important "equivalence theorem" between the uniformity of experimental points over the domain and the design orthogonality. They showed numerically that uniformity of experimental points over the domain can imply design orthogonality and conjecture that every orthogonal design can be obtained by minimizing some measure of uniformity. This paper shows that their conjecture is only true in some special cases.

Original languageEnglish (US)
Pages (from-to)323-334
Number of pages12
JournalJournal of Statistical Planning and Inference
Issue number1
StatePublished - Apr 1 2003

All Science Journal Classification (ASJC) codes

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


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