On difference schemes and orthogonal arrays of strength t

A. S. Hedayat, John Stufken, Guoqin Su

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

Difference schemes (Bose and Bush, Ann. Math. Statist. 23 (1952), 508-524) form a useful tool for the construction of orthogonal arrays of strength 2. We study a generalization of these schemes, difference schemes of strength t, which are useful for the construction and representation of orthogonal arrays of strength t. We study the existence of difference schemes of strength t, methods for their construction, and methods to construct orthogonal arrays of strength t from these schemes.

Original languageEnglish (US)
Pages (from-to)307-324
Number of pages18
JournalJournal of Statistical Planning and Inference
Volume56
Issue number2
DOIs
StatePublished - Dec 15 1996

Keywords

  • Difference matrices
  • Fractional factorial designs
  • Linear difference schemes
  • Linear orthogonal arrays
  • Parity check matrices

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'On difference schemes and orthogonal arrays of strength t'. Together they form a unique fingerprint.

  • Cite this