A note on uniformity and orthogonality

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

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

36 Citations (Scopus)

Abstract

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
Pages (from-to)323-334
Number of pages12
JournalJournal of Statistical Planning and Inference
Volume113
Issue number1
DOIs
Publication statusPublished - 1 Apr 2003
Externally publishedYes

Scopus Subject Areas

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

User-Defined Keywords

  • Discrepancy
  • Fractional factorial designs
  • Orthogonality
  • Uniformity
  • Uniform design

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