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Construction of (nearly) orthogonal sliced Latin hypercube designs

Author

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  • Wang, Xiao-Lei
  • Zhao, Yu-Na
  • Yang, Jian-Feng
  • Liu, Min-Qian

Abstract

Sliced Latin hypercube designs have found a wide range of applications. Such a design is a special Latin hypercube design that can be partitioned into slices which are still LHDs when the levels of each slices are collapsed properly. In this paper we propose a method for constructing sliced Latin hypercube designs with second-order orthogonality. The resulting designs are further augmented to be nearly orthogonal sliced Latin hypercube designs which have much more columns. Also, two methods of generating nearly orthogonal sliced Latin hypercube designs are proposed. The methods are convenient, efficient and capable of accommodating any number of slices.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:125:y:2017:i:c:p:174-180
    DOI: 10.1016/j.spl.2017.02.004
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    References listed on IDEAS

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    1. Peter Z. G. Qian, 2012. "Sliced Latin Hypercube Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(497), pages 393-399, March.
    2. Yang, Xue & Chen, Hao & Liu, Min-Qian, 2014. "Resolvable orthogonal array-based uniform sliced Latin hypercube designs," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 108-115.
    3. Peter Z. G. Qian & C. F. Jeff Wu, 2009. "Sliced space-filling designs," Biometrika, Biometrika Trust, vol. 96(4), pages 945-956.
    4. Qiong Zhang & Peter Z. G. Qian, 2013. "Designs for crossvalidating approximation models," Biometrika, Biometrika Trust, vol. 100(4), pages 997-1004.
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    Citations

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    Cited by:

    1. Bing Guo & Xiao-Rong Li & Min-Qian Liu & Xue Yang, 2023. "Construction of orthogonal general sliced Latin hypercube designs," Statistical Papers, Springer, vol. 64(3), pages 987-1014, June.
    2. Ru Yuan & Bing Guo & Min-Qian Liu, 2021. "Flexible sliced Latin hypercube designs with slices of different sizes," Statistical Papers, Springer, vol. 62(3), pages 1117-1134, June.
    3. Chen, Hao & Yang, Jinyu & Lin, Dennis K.J. & Liu, Min-Qian, 2019. "Sliced Latin hypercube designs with both branching and nested factors," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 124-131.

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