On the Equivalence of Optimality Design Criteria for the Placebo-Treatment Problem

نویسندگان

  • Holger Dette
  • Weng Kee Wong
  • Wei Zhu
چکیده

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.

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تاریخ انتشار 2004