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Construction of uniform designs for mixture experiments with complex constraints

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  • Yan Liu
  • Min-Qian Liu

Abstract

Mixture experiments have attracted increasingly attention due to their great practical value in production and living, while uniform designs over irregular experimental regions have become a hot topic in the area of experimental designs in the past two decades. Noting that the experimental region of a mixture experiment with q components under some constraints is in fact a (q − 1)-dimensional geometry, this article proposes a new method for searching nearly uniform designs for mixture experiments with any complex constraints. Two examples with some tables and figures are given to illustrate this method.

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  • Yan Liu & Min-Qian Liu, 2016. "Construction of uniform designs for mixture experiments with complex constraints," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(8), pages 2172-2180, April.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:8:p:2172-2180
    DOI: 10.1080/03610926.2013.875576
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    Cited by:

    1. Xiong, Zikang & Liu, Liwei & Ning, Jianhui & Qin, Hong, 2020. "Sphere packing design for experiments with mixtures," Statistics & Probability Letters, Elsevier, vol. 164(C).
    2. Astrid Jourdan, 2024. "Space-filling designs with a Dirichlet distribution for mixture experiments," Statistical Papers, Springer, vol. 65(5), pages 2667-2686, July.

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