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Sliced space-filling designs

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  • Peter Z. G. Qian
  • C. F. Jeff Wu

Abstract

We propose an approach to constructing a new type of design, a sliced space-filling design, intended for computer experiments with qualitative and quantitative factors. The approach starts with constructing a Latin hypercube design based on a special orthogonal array for the quantitative factors and then partitions the design into groups corresponding to different level combinations of the qualitative factors. The points in each group have good space-filling properties. Some illustrative examples are given. Copyright 2009, Oxford University Press.

Suggested Citation

  • Peter Z. G. Qian & C. F. Jeff Wu, 2009. "Sliced space-filling designs," Biometrika, Biometrika Trust, vol. 96(4), pages 945-956.
    • Handle: RePEc:oup:biomet:v:96:y:2009:i:4:p:945-956
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    File URL: http://hdl.handle.net/10.1093/biomet/asp044
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    Cited by:

    1. Mu, Weiyan & Xiong, Shifeng, 2018. "A class of space-filling designs and their projection properties," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 129-134.
    2. Wang, Xiao-Lei & Zhao, Yu-Na & Yang, Jian-Feng & Liu, Min-Qian, 2017. "Construction of (nearly) orthogonal sliced Latin hypercube designs," Statistics & Probability Letters, Elsevier, vol. 125(C), pages 174-180.
    3. Antony M. Overstall & David C. Woods, 2016. "Multivariate emulation of computer simulators: model selection and diagnostics with application to a humanitarian relief model," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 65(4), pages 483-505, August.
    4. 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.
    5. Zhang, Tianfang & Jiang, Junyu & Li, Zhiming, 2018. "Some families of asymmetric nested orthogonal arrays and asymmetric sliced orthogonal arrays," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 109-113.

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