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Construction of Full Order-of-Addition Generalization Simplex-Centroid Designs by the Directed Graph Approach

Author

Listed:
  • Haosheng Jiang

    (School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China)

  • Chongqi Zhang

    (School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China)

Abstract

The order-of-addition generalization simplex-centroid designs play a key role in mixture experiments, for example, the mixture experiments with process variables. The paper formally combines order-of-addition (OofA) with mixture components in the same experiment. This paper proposes a new algorithm which generates full OofA m th-degree generalization simplex-centroid designs for q components by a class of the direction graphs, and a series of examples also confirms the value of the proposed algorithm.

Suggested Citation

  • Haosheng Jiang & Chongqi Zhang, 2022. "Construction of Full Order-of-Addition Generalization Simplex-Centroid Designs by the Directed Graph Approach," Mathematics, MDPI, vol. 10(3), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:443-:d:738499
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    References listed on IDEAS

    as
    1. Nripes Mandal & Manisha Pal & Bikas Sinha & Premadhis Das, 2015. "Optimum mixture designs in a restricted region," Statistical Papers, Springer, vol. 56(1), pages 105-119, February.
    2. Peter Goos & Bradley Jones & Utami Syafitri, 2016. "I-Optimal Design of Mixture Experiments," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(514), pages 899-911, April.
    Full references (including those not matched with items on IDEAS)

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