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A simple approach to constructing quasi-Sudoku-based sliced space-filling designs

Author

Listed:
  • Diane Donovan

    (University of Queensland)

  • Benjamin Haaland

    (Georgia Institute of Technology
    Duke-NUS Graduate Medical School)

  • David J. Nott

    (National University of Singapore)

Abstract

Sliced Sudoku-based space-filling designs and, more generally, quasi-sliced orthogonal array-based space-filling designs are useful experimental designs in several contexts, including computer experiments with categorical in addition to quantitative inputs and cross-validation. Here, we provide a straightforward construction of doubly orthogonal quasi-Sudoku Latin squares which can be used to generate quasi-sliced orthogonal arrays and, in turn, sliced space-filling designs which achieve uniformity in one- and two-dimensional projections for the full design and uniformity in two-dimensional projections for each slice. These constructions are very practical to implement and yield a spectrum of design sizes and numbers of factors not currently broadly available.

Suggested Citation

  • Diane Donovan & Benjamin Haaland & David J. Nott, 2017. "A simple approach to constructing quasi-Sudoku-based sliced space-filling designs," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 69(4), pages 865-878, August.
    • Handle: RePEc:spr:aistmt:v:69:y:2017:i:4:d:10.1007_s10463-016-0565-x
    DOI: 10.1007/s10463-016-0565-x
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    References listed on IDEAS

    as
    1. Peter Z. G. Qian & C. F. Jeff Wu, 2009. "Sliced space-filling designs," Biometrika, Biometrika Trust, vol. 96(4), pages 945-956.
    2. Qiong Zhang & Peter Z. G. Qian, 2013. "Designs for crossvalidating approximation models," Biometrika, Biometrika Trust, vol. 100(4), pages 997-1004.
    3. Xu Xu & BEN Haaland & Peter Z. G. Qian, 2011. "Sudoku-based space-filling designs," Biometrika, Biometrika Trust, vol. 98(3), pages 711-720.
    Full references (including those not matched with items on IDEAS)

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