Uniform designs based on Latin squares

Kai Tai Fang*, Wai Chee SHIU, Jian Xin Pan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)

Abstract

Uniform designs (UDs) have been widely used in various fields. Traditionally they were generated by so-called good lattice point (glp) sets. In this paper, we propose a new approach based on cyclic Latin squares (CLS). The UDs generated have much smaller discrepancies than those proposed by Wang and Fang (1981). A threshold accepting algorithm is employed for finding the CLS with smallest L2-discrepancy.

Original languageEnglish
Pages (from-to)905-912
Number of pages8
JournalStatistica Sinica
Volume9
Issue number3
Publication statusPublished - Jul 1999

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

User-Defined Keywords

  • Experimental design
  • L-discrepancy
  • Latin squares
  • Threshold accepting algorithm
  • Uniform design
  • Uniformity

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