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Simplex-based screening designs for estimating metamodels

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  • Pujol, Gilles

Abstract

The screening method proposed by Morris in 1991 allows to identify the important factors of a model, including those involved in interactions. This method, known as the elementary effects method, relies on a “one-factor-at-a-time†(OAT) design of experiments, i.e. two successive points differ only by one factor. In this article, we introduce a non-OAT simplex-based design for the elementary effects method. Its main advantage, compared to Morris's OAT design, is that the sample size does not collapse when the design is projected on sub-spaces spanned by groups of factors. The use of this design to estimate a metamodel depending only on the (screened) important factors is discussed.

Suggested Citation

  • Pujol, Gilles, 2009. "Simplex-based screening designs for estimating metamodels," Reliability Engineering and System Safety, Elsevier, vol. 94(7), pages 1156-1160.
    • Handle: RePEc:eee:reensy:v:94:y:2009:i:7:p:1156-1160
    DOI: 10.1016/j.ress.2008.08.002
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    Cited by:

    1. Becker, William, 2020. "Metafunctions for benchmarking in sensitivity analysis," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    2. Wen Shi & Xi Chen & Jennifer Shang, 2019. "An Efficient Morris Method-Based Framework for Simulation Factor Screening," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 745-770, October.
    3. Lopez, Jose R. & Erickson, John E. & Asseng, Senthold & Bobeda, Edmundo Lopez, 2017. "Modification of the CERES grain sorghum model to simulate optimum sweet sorghum rooting depth for rainfed production on coarse textured soils in a sub-tropical environment," Agricultural Water Management, Elsevier, vol. 181(C), pages 47-55.
    4. Ben Touhami, Haythem & Lardy, Romain & Barra, Vincent & Bellocchi, Gianni, 2013. "Screening parameters in the Pasture Simulation model using the Morris method," Ecological Modelling, Elsevier, vol. 266(C), pages 42-57.
    5. Shi, Wen & Chen, Ao & Xie, Xiang, 2024. "Generating and validating cluster sampling matrices for model-free factor screening," European Journal of Operational Research, Elsevier, vol. 313(1), pages 241-257.
    6. Shi, Wen & Zhou, Qing & Zhou, Yanju, 2023. "An efficient elementary effect-based method for sensitivity analysis in identifying main and two-factor interaction effects," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    7. Deman, G. & Kerrou, J. & Benabderrahmane, H. & Perrochet, P., 2015. "Sensitivity analysis of groundwater lifetime expectancy to hydro-dispersive parameters: The case of ANDRA Meuse/Haute-Marne site," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 276-286.
    8. Shi, Wen & Chen, Xi, 2019. "Controlled Morris method: A new factor screening approach empowered by a distribution-free sequential multiple testing procedure," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 299-314.

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