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

Holger Dette, Weng Kee Wong and Wei Zhu

Statistics & Probability Letters, 2005, vol. 74, issue 4, 337-346

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.

Keywords: Compound; optimality; D-optimality; Design; efficiency; Minimax; optimality (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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