Proceedings of the 1st International Conference on Statistics and Analytics, ICSA 2019, 2-3 August 2019, Bogor, Indonesia

Research Article

The Bayesian D-Optimal Design In Mixture Experimental Design

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  • @INPROCEEDINGS{10.4108/eai.2-8-2019.2290470,
        author={Uqwatul Alma  Wizsa and Utami Dyah  Syafitri and Aji Hamim  Wigena},
        title={The Bayesian D-Optimal Design In Mixture Experimental Design},
        proceedings={Proceedings of the 1st International Conference on Statistics and Analytics, ICSA 2019, 2-3 August 2019, Bogor, Indonesia},
        publisher={EAI},
        proceedings_a={ICSA},
        year={2020},
        month={1},
        keywords={bayesian d-optimal design mixture design},
        doi={10.4108/eai.2-8-2019.2290470}
    }
    
  • Uqwatul Alma Wizsa
    Utami Dyah Syafitri
    Aji Hamim Wigena
    Year: 2020
    The Bayesian D-Optimal Design In Mixture Experimental Design
    ICSA
    EAI
    DOI: 10.4108/eai.2-8-2019.2290470
Uqwatul Alma Wizsa1,*, Utami Dyah Syafitri1, Aji Hamim Wigena1
  • 1: Department of Statistics, IPB University, Bogor, Indonesia
*Contact email: uqwatulalma@gmail.com

Abstract

Mixture design is known as experimental design which is often used. The total number of components in the mixture is 100% and the value of each component must be greater than or equal to 0%. The industry sector is usually used the mixture design. Then, the D-optimality criterion can help to determine the possible compositions of the mixture to conduct some trial and error composition of the product. However, this criterion very depend on the assumption of the model. To reduce its dependence, the Bayesian approximation is used. The Bayesian D-optimal algorithm applied to a mixture consisting of two components with constraint functions. Ten design points formed from eleven candidate points. By applying the Bayesian D-optimal algorithm on two components of the mixture, the design has no convergent design as the result. So, to find the result, the classical D-optimal was used and three different points was formed.