On the maximal number of factors and the enumeration of 3-symbol orthogonal arrays of strength 3 and index 2

A. Hedayat, Esther Seiden, John Stufken

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

We show that an orthogonal array for three symbols, of strength 3 and of index 2 can accommodate no more than five factors. We also show that there are exactly four nonisomorphic arrays with five factors.

Original languageEnglish (US)
Pages (from-to)43-63
Number of pages21
JournalJournal of Statistical Planning and Inference
Volume58
Issue number1
StatePublished - Mar 1 1997

Keywords

  • Difference schemes
  • Fractional factorials
  • Nonisomorphic orthogonal arrays
  • Rao's bounds for orthogonal arrays

ASJC Scopus subject areas

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

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