A new approach in constructing orthogonal and nearly orthogonal arrays

Chang-Xing Ma*, Kai-Tai Fang, Erkki Liski

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

48 Citations (Scopus)


Orthogonal arrays have been constructed by a number of mathematical tools such as orthogonal Latin squares, Hadamard matrices, group theory and finite fields. Wang and Wu (1992) proposed the concept of a nearly orthogonal array and found a number of such arrays with high efficiency. In this paper we propose some criteria for non-orthogonality and two algorithms for the construction of orthogonal and nearly orthogonal arrays evincing higher efficiency than that obtained by Wang and Wu.

Original languageEnglish
Pages (from-to)255-268
Number of pages14
Issue number3
Publication statusPublished - Apr 2000
Externally publishedYes

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

User-Defined Keywords

  • D-efficiency
  • Experimental design
  • Nearly orthogonal arrays
  • Orthogonal arrays
  • Threshold accepting


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