Polygonal designs: Some existence and non-existence results

John Stufken, Sung Y. Song, Kyoungah See, Kenneth R. Driessel

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

Polygonal designs are introduced as a generalization of balanced incomplete block designs and as a specialization of partially balanced incomplete block designs. As in the case of balanced incomplete block designs, there is no hope of deciding the values of the parameters for which polygonal designs exist. We develop enough theory to reveal the structure, and thus, to resolve the existence problem for small polygonal designs, and derive necessary conditions for general cases.

Original languageEnglish (US)
Pages (from-to)155-166
Number of pages12
JournalJournal of Statistical Planning and Inference
Volume77
Issue number1
DOIs
StatePublished - Feb 15 1999

Keywords

  • 05B05
  • 62K10
  • Balanced incomplete block designs
  • Balanced sampling plans excluding contiguous units
  • Fisher's inequality

ASJC Scopus subject areas

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

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