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Group symmetric Latin hypercube designs for symmetrical global sensitivity analysis

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  • Wang, Xiaodi
  • Huang, Hengzhen

Abstract

Symmetrical global sensitivity analysis (SGSA) is of use in studying the symmetrical structure of a model via symmetrical global sensitivity indices (SGSI). The computation of SGSI is a challenging task because the model to compute is black-box and expensive. An experimental design, called a group symmetric Latin hypercube design (GSLHD) is proposed for SGSA. It achieves maximum uniformity in univariate margins and maintains a symmetrical structure that ensures the estimability of SGSI. Based on the proposed GSLHD, SGSI can be efficiently estimated by using output values evaluated from the model. Construction methods and sampling properties of the proposed design are presented. Numerical studies on benchmark test problems demonstrate that the proposed design is effective in shrinking the estimation bias and volatility with economically feasible sample sizes.

Suggested Citation

  • Wang, Xiaodi & Huang, Hengzhen, 2023. "Group symmetric Latin hypercube designs for symmetrical global sensitivity analysis," Computational Statistics & Data Analysis, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:csdana:v:179:y:2023:i:c:s0167947322002055
    DOI: 10.1016/j.csda.2022.107625
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    References listed on IDEAS

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    1. Auder, Benjamin & De Crecy, Agnès & Iooss, Bertrand & Marquès, Michel, 2012. "Screening and metamodeling of computer experiments with functional outputs. Application to thermal–hydraulic computations," Reliability Engineering and System Safety, Elsevier, vol. 107(C), pages 122-131.
    2. Bing Guo & Xue-Ping Chen & Min-Qian Liu, 2020. "Construction of Latin hypercube designs with nested and sliced structures," Statistical Papers, Springer, vol. 61(2), pages 727-740, April.
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    4. G Damblin & M Couplet & B Iooss, 2013. "Numerical studies of space-filling designs: optimization of Latin Hypercube Samples and subprojection properties," Journal of Simulation, Taylor & Francis Journals, vol. 7(4), pages 276-289, November.
    5. Zhao, Yuna & Lin, Dennis K.J. & Liu, Min-Qian, 2022. "Optimal designs for order-of-addition experiments," Computational Statistics & Data Analysis, Elsevier, vol. 165(C).
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    Cited by:

    1. Xiaodi Wang & Hengzhen Huang, 2024. "Nested symmetrical Latin hypercube designs," Statistical Papers, Springer, vol. 65(7), pages 4299-4330, September.

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