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Column-orthogonal strong orthogonal arrays of strength two plus and three minus

Author

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  • Yongdao Zhou
  • Boxin Tang

Abstract

SummaryStrong orthogonal arrays have better space-filling properties than ordinary orthogonal arrays for computer experiments. We consider column-orthogonal strong orthogonal arrays of strength two plus and three minus, and present methods of constructing such designs. Several situations are examined, including those of four or higher levels and mixed levels. The methods are based on both regular and nonregular designs. The resulting designs inherit the good property of strong orthogonal arrays of strength two plus or three and have the additional property of column orthogonality. This type of design is a better choice for computer experiments.

Suggested Citation

  • Yongdao Zhou & Boxin Tang, 2019. "Column-orthogonal strong orthogonal arrays of strength two plus and three minus," Biometrika, Biometrika Trust, vol. 106(4), pages 997-1004.
    • Handle: RePEc:oup:biomet:v:106:y:2019:i:4:p:997-1004.
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    File URL: http://hdl.handle.net/10.1093/biomet/asz043
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    Cited by:

    1. Wenlong Li & Min-Qian Liu & Jian-Feng Yang, 2022. "Construction of column-orthogonal strong orthogonal arrays," Statistical Papers, Springer, vol. 63(2), pages 515-530, April.
    2. Mengmeng Liu & Min-Qian Liu & Jinyu Yang, 2022. "Construction of group strong orthogonal arrays of strength two plus," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(6), pages 657-674, August.
    3. Grömping, Ulrike, 2023. "A unifying implementation of stratum (aka strong) orthogonal arrays," Computational Statistics & Data Analysis, Elsevier, vol. 183(C).
    4. Jiang, Bochuan & Wang, Zuzheng & Wang, Yaping, 2021. "Strong orthogonal arrays of strength two-plus based on the Addelman–Kempthorne method," Statistics & Probability Letters, Elsevier, vol. 175(C).

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