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On the equivalence of optimality design criteria for the placebo-treatment problem

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  • Dette, Holger
  • Wong, Weng Kee
  • Zhu, Wei

Abstract

We consider a class of optimality criteria and show that each criterion has its unique and equivalent dual within the class. This property can be used to find a variety of optimal designs, including a class of compound optimal designs and their relationships. As an example, we show that one type of D-optimal design provides analytical formula for a class of compound optimal designs, while its dual, the more traditional criterion, cannot.

Suggested Citation

  • Dette, Holger & Wong, Weng Kee & Zhu, Wei, 2005. "On the equivalence of optimality design criteria for the placebo-treatment problem," Statistics & Probability Letters, Elsevier, vol. 74(4), pages 337-346, October.
    • Handle: RePEc:eee:stapro:v:74:y:2005:i:4:p:337-346
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    References listed on IDEAS

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    1. Holger Dette, 1993. "A new interpretation of optimality forE-optimal designs in linear regression models," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 40(1), pages 37-50, December.
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    1. repec:jss:jstsof:35:i06 is not listed on IDEAS
    2. Rong-Xian Yue & Kashinath Chatterjee, 2010. "Bayesian U-type design for nonparametric response surface prediction," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 72(2), pages 219-231, September.

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    2. Wong, Weng Kee & Dette, Holger & Zhu, Wei, 2004. "On the Equivalence of Optimality Design Criteria for the Placebo-Treatment Problem," Technical Reports 2004,27, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.

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