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Maximin designs for the detection of synergistic effects

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  • Mandal, Nripes Kumar
  • Pal, Manisha

Abstract

In mixture experiments, optimal designs for the estimation of parameters, both linear and non-linear, have been discussed by several authors. In this paper, we attempt to find the optimum designs for testing the presence of synergistic effects in a mixture model using the maximin criterion.

Suggested Citation

  • Mandal, Nripes Kumar & Pal, Manisha, 2013. "Maximin designs for the detection of synergistic effects," Statistics & Probability Letters, Elsevier, vol. 83(7), pages 1632-1637.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:7:p:1632-1637
    DOI: 10.1016/j.spl.2013.03.009
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    References listed on IDEAS

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    1. Biedermann, Stefanie & Dette, Holger, 2001. "Optimal designs for testing the functional form of a regression via nonparametric estimation techniques," Statistics & Probability Letters, Elsevier, vol. 52(2), pages 215-224, April.
    2. Bischoff, Wolfgang & Miller, Frank, 2006. "Lack-of-fit-efficiently optimal designs to estimate the highest coefficient of a polynomial with large degree," Statistics & Probability Letters, Elsevier, vol. 76(15), pages 1701-1704, September.
    3. 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.
    4. Pal, Manisha & Mandal, Nripes K., 2006. "Optimum designs for optimum mixtures," Statistics & Probability Letters, Elsevier, vol. 76(13), pages 1369-1379, July.
    5. Dette, Holger & Wong, Weng Kee, 1999. "E-optimal designs for the Michaelis-Menten model," Statistics & Probability Letters, Elsevier, vol. 44(4), pages 405-408, October.
    6. Wiens, Douglas P., 1991. "Designs for approximately linear regression: two optimality properties of uniform designs," Statistics & Probability Letters, Elsevier, vol. 12(3), pages 217-221, September.
    7. Manisha Pal & Nripes Mandal, 2009. "Optimum designs for estimation of optimum point under cost constraint," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 999-1008.
    8. Pal, Manisha & Mandal, Nripes Kumar, 2008. "Minimax designs for optimum mixtures," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 608-615, April.
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