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Further results on the orthogonal arrays obtained by generalized Hadamard product

Author

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  • Pang, Shanqi
  • Zhang, Yingshan
  • Liu, Sanyang

Abstract

By combining generalized Hadamard product with difference matrix and exploring the relationship between orthogonal arrays and decomposition of projection matrix, we furthermore develop the method in Zhang et al. (Discrete Math. 238 (2001) 151). As an application of it, some new orthogonal arrays of run size 100 are constructed.

Suggested Citation

  • Pang, Shanqi & Zhang, Yingshan & Liu, Sanyang, 2004. "Further results on the orthogonal arrays obtained by generalized Hadamard product," Statistics & Probability Letters, Elsevier, vol. 68(1), pages 17-25, June.
    • Handle: RePEc:eee:stapro:v:68:y:2004:i:1:p:17-25
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    References listed on IDEAS

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    1. Wang, J.C., 1996. "Mixed difference matrices and the construction of orthogonal arrays," Statistics & Probability Letters, Elsevier, vol. 28(2), pages 121-126, June.
    2. DeCock, Dean & Stufken, John, 2000. "On finding mixed orthogonal arrays of strength 2 with many 2-level factors," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 383-388, December.
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    Cited by:

    1. Wang, Xiaodi & Zhang, Yingshan & Tang, Yincai, 2014. "Feasible criterion for designs based on fixed effect ANOVA model," Statistics & Probability Letters, Elsevier, vol. 87(C), pages 134-142.
    2. Xue-ping Chen & Jin-Guan Lin & Xiao-di Wang & Xing-fang Huang, 2015. "Further results on orthogonal arrays for the estimation of global sensitivity indices based on alias matrix," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 24(3), pages 411-426, September.

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