Lower bounds of various criteria in experimental designs

Kai Tai Fang*, Yu Tang, Jianxing Yin

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

11 Citations (Scopus)
4 Downloads (Pure)

Abstract

Criterion is essential for measuring the goodness of an experimental design. In this paper, lower bounds of various criteria in experimental designs will be reviewed according to methodology of their construction. The criteria include most well-known ones which are frequently used as benchmarks for orthogonal array, uniform design, supersaturated design and other types of designs. To derive the lower bounds of these criteria, five different approaches are explored. Some new results are given. Throughout the paper, some relationships among different types of lower bounds are also discussed.

Original languageEnglish
Pages (from-to)184-195
Number of pages12
JournalJournal of Statistical Planning and Inference
Volume138
Issue number1
DOIs
Publication statusPublished - 1 Jan 2008
Externally publishedYes

Scopus Subject Areas

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

User-Defined Keywords

  • Fractional factorial design
  • Lower bound
  • Supersaturated design
  • Uniform design

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