On difference schemes and orthogonal arrays of strength t

A. S. Hedayat, John Stufken, Guoqin Su

Research output: Contribution to journalArticle

12 Citations (Scopus)

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
Externally publishedYes

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Orthogonal Array
Difference Scheme
Orthogonal array

Keywords

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

ASJC Scopus subject areas

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

Cite this

On difference schemes and orthogonal arrays of strength t. / Hedayat, A. S.; Stufken, John; Su, Guoqin.

In: Journal of Statistical Planning and Inference, Vol. 56, No. 2, 15.12.1996, p. 307-324.

Research output: Contribution to journalArticle

Hedayat, A. S. ; Stufken, John ; Su, Guoqin. / On difference schemes and orthogonal arrays of strength t. In: Journal of Statistical Planning and Inference. 1996 ; Vol. 56, No. 2. pp. 307-324.
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