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

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.

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Year of publication:	2004
Authors:	Wong, Weng Kee ; Dette, Holger ; Zhu, Wei
Publisher:	Dortmund : Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
Subject:	Experiment \| Mathematische Optimierung \| Theorie \| Compound optimality \| D-optimality \| design efficiency \| minimax optimality

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Series:	Technical Report ; 2004,27
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	391698303 [GVK] hdl:10419/22539 [Handle] RePEc:zbw:sfb475:200427 [RePEc]
Source:	EconStor

Persistent link: https://www.econbiz.de/10010296610