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Optimal designs for mixture models with amount constraints

Author

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  • Zhang, Chongqi
  • Wong, Weng Kee

Abstract

Optimal designs for mixture experiments defined on the regular simplex are widely available but a lot fewer optimal designs are available for mixture experiments defined on the q-dimensional design space: S∗q={(z1,…,zq)′∈Rq|z1+⋯+zq≤1,zi≥0,i=1,…,q}. This paper proposes a flexible class of models for mixture experiments defined on S∗q and gives a simple method for finding D and A-optimal designs for the models using optimal designs available for the mixture experiments defined on the regular simplex.

Suggested Citation

  • Zhang, Chongqi & Wong, Weng Kee, 2013. "Optimal designs for mixture models with amount constraints," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 196-202.
  • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:196-202
    DOI: 10.1016/j.spl.2012.08.029
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    References listed on IDEAS

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    1. Liu, Shuangzhe & Neudecker, Heinz, 1995. "A V-optimal design for Scheffé's polynomial model," Statistics & Probability Letters, Elsevier, vol. 23(3), pages 253-258, May.
    2. Hilgers, Ralf-Dieter, 2000. "D-optimal design for Becker's minimum polynomial," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 175-179, August.
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