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Construction of weighted efficiency optimal designs for experiments with mixtures

Author

Listed:
  • Li, Junpeng
  • Li, Guanghui
  • Leng, Wei
  • Zhang, Chongqi
  • Su, Hongyu

Abstract

This paper presents a weighted efficiency optimality criterion to obtain a compound optimal design that balances two different optimality objectives. An equivalence theorem and a search algorithm for a concave–concave combination of criteria for finding the weighted efficiency optimal design are given and applied to the Scheffé mixture model.

Suggested Citation

  • Li, Junpeng & Li, Guanghui & Leng, Wei & Zhang, Chongqi & Su, Hongyu, 2025. "Construction of weighted efficiency optimal designs for experiments with mixtures," Statistics & Probability Letters, Elsevier, vol. 216(C).
    • Handle: RePEc:eee:stapro:v:216:y:2025:i:c:s0167715224002244
    DOI: 10.1016/j.spl.2024.110255
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    References listed on IDEAS

    as
    1. Zhang, Chongqi & Peng, Heng, 2012. "D-optimal designs for quadratic mixture canonical polynomials with spline," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1095-1101.
    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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