On the Equivalence of Optimality Design Criteria fot the Placebo-Treatment Problem
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Date
2004
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Publisher
Universitätsbibliothek Dortmund
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.
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Keywords
compound optimality, D-optimality, design efficiency, minimax optimality