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

Weng Kee Wong, Holger Dette and Wei Zhu

No 2004,27, Technical Reports from Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen

Abstract: We consider a class of optimality criteria and show that each crite- rion 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: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:zbw:sfb475:200427

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