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R-optimal design of the second-order Scheffé mixture model

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  • Hao, Honghua
  • Zhu, Xiaoyuan
  • Zhang, Xinfeng
  • Zhang, Chongqi

Abstract

We investigate the R-optimal design with the second-order Scheffé model and get the general expression for the weights. Compared with the D-optimal efficiency, the R-optimal design performs consistently better.

Suggested Citation

  • Hao, Honghua & Zhu, Xiaoyuan & Zhang, Xinfeng & Zhang, Chongqi, 2021. "R-optimal design of the second-order Scheffé mixture model," Statistics & Probability Letters, Elsevier, vol. 173(C).
    • Handle: RePEc:eee:stapro:v:173:y:2021:i:c:s0167715221000316
    DOI: 10.1016/j.spl.2021.109069
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    References listed on IDEAS

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    1. 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.
    2. Holger Dette, 1997. "Designing Experiments with Respect to ‘Standardized’ Optimality Criteria," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 59(1), pages 97-110.
    3. Liu, Xin & Yue, Rong-Xian & Chatterjee, Kashinath, 2014. "R-optimal designs in random coefficient regression models," Statistics & Probability Letters, Elsevier, vol. 88(C), pages 127-132.
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    Cited by:

    1. Husain, Bushra & Aslam, Fariha, 2024. "Weighted Simplex Centroid Mixture Experiments for third order Becker’s models: The R-optimal approach," Statistics & Probability Letters, Elsevier, vol. 213(C).

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