Bernoulli

  • Bernoulli
  • Volume 16, Number 4 (2010), 1164-1176.

Optimal designs for discriminating between dose-response models in toxicology studies

Holger Dette, Andrey Pepelyshev, Piter Shpilev, and Weng Kee Wong

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Abstract

We consider design issues for toxicology studies when we have a continuous response and the true mean response is only known to be a member of a class of nested models. This class of non-linear models was proposed by toxicologists who were concerned only with estimation problems. We develop robust and efficient designs for model discrimination and for estimating parameters in the selected model at the same time. In particular, we propose designs that maximize the minimum of D- or D1-efficiencies over all models in the given class. We show that our optimal designs are efficient for determining an appropriate model from the postulated class, quite efficient for estimating model parameters in the identified model and also robust with respect to model misspecification. To facilitate the use of optimal design ideas in practice, we have also constructed a website that freely enables practitioners to generate a variety of optimal designs for a range of models and also enables them to evaluate the efficiency of any design.

Article information

Source
Bernoulli Volume 16, Number 4 (2010), 1164-1176.

Dates
First available in Project Euclid: 18 November 2010

Permanent link to this document
https://projecteuclid.org/euclid.bj/1290092900

Digital Object Identifier
doi:10.3150/10-BEJ257

Mathematical Reviews number (MathSciNet)
MR2759173

Zentralblatt MATH identifier
1207.62154

Keywords
continuous design locally optimal design maximin optimal design model discrimination robust design

Citation

Dette, Holger; Pepelyshev, Andrey; Shpilev, Piter; Wong, Weng Kee. Optimal designs for discriminating between dose-response models in toxicology studies. Bernoulli 16 (2010), no. 4, 1164--1176. doi:10.3150/10-BEJ257. https://projecteuclid.org/euclid.bj/1290092900


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