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A V-optimal design for Scheffé's polynomial model

Author

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  • Liu, Shuangzhe
  • Neudecker, Heinz

Abstract

In experiments with mixtures, the so-called weighted simplex-centroid design is applied to obtain V-optimal allocation of observations which is shown to be an optimal design over the entire simplex by using the equivalence theorem.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:stapro:v:23:y:1995:i:3:p:253-258
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    Cited by:

    1. Zhang, Chongqi & Wong, Weng Kee, 2013. "Optimal designs for mixture models with amount constraints," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 196-202.
    2. SYAFITRI, Utami & SARTONO, Bagus & GOOS, Peter, 2015. "D- and I-optimal design of mixture experiments in the presence of ingredient availability constraints," Working Papers 2015003, University of Antwerp, Faculty of Applied Economics.
    3. 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.

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