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Asymmetrical Orthogonal Arrays With Run Size 100

Author

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  • Chun Luo
  • Yingshan Zhang
  • Sihui He

Abstract

Nowadays orthogonal arrays play important roles in statistics and other fields. Usual difference matrices are essential for the construction of many symmetrical or a few asymmetrical orthogonal arrays. But there are also asymmetrical orthogonal arrays which can not be obtained by the usual difference matrices. In order to construct these asymmetrical orthogonal arrays, a class of special matrices were discovered from the orthogonal decompositions of projection matrices. In this article, an interesting equivalent relationship between orthogonal arrays and the generalized difference matrices is presented. As an application, a lot of new orthogonal arrays of run size 100 have been constructed.

Suggested Citation

  • Chun Luo & Yingshan Zhang & Sihui He, 2015. "Asymmetrical Orthogonal Arrays With Run Size 100," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(6), pages 1222-1240, March.
  • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:6:p:1222-1240
    DOI: 10.1080/03610926.2012.763091
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