A class of nearly orthogonal arrays

Xuan Lu, William Li, Miao Xie

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Orthogonal arrays with mixed levels are very useful in factorial experiments when factors with different numbers of levels are to be investigated. However, one limitation associated with mixed-level orthogonal arrays is that many of them require a large number of runs. In such cases, nearly orthogonal arrays - which generally use fewer runs by slightly relaxing the requirement of orthogonality - may be useful. We propose a definition of nearly orthogonal arrays of strength m, extending the concept of orthogonal arrays of strength m. We focus on the nearly orthogonal arrays involving 2- and 3-level factors with small run sizes. Some useful arrays are tabulated for practical use. These designs are shown to have nice statistical and combinatorial properties.

Original languageEnglish (US)
Pages (from-to)148-161
Number of pages14
JournalJournal of Quality Technology
Volume38
Issue number2
DOIs
StatePublished - Apr 2006

Keywords

  • Nearly Orthogonal Array of Strength m
  • Orthogonal Array
  • Strength

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