On the Equivalence of Constrained and Compound Optimal Designs
作者:
R.Dennis Cook,
WengKee Wong,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1994)
卷期:
Volume 89,
issue 426
页码: 687-692
ISSN:0162-1459
年代: 1994
DOI:10.1080/01621459.1994.10476794
出版商: Taylor & Francis Group
关键词: Doptimality;Efficiency;Information Matrix;Large sample design
数据来源: Taylor
摘要:
Constrained and compound optimal designs represent two well-known methods for dealing with multiple objectives in optimal design as reflected by two functionals φ1and φ2on the space of information matrices. A constrained optimal design is constructed by optimizing φ2subject to a constraint on φ1, and a compound design is found by optimizing a weighted average of the functionals φ = λφ1+ (1 - λ) φ2, 0 ≤ λ ≤ 1. We show that these two approaches to handling multiple objectives are equivalent.
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