A procedure for finding an improved upper bound on the number of optimal design points

Seung Won Hyun; Min Yang; Nancy Flournoy

doi:10.1016/j.csda.2012.08.012

A procedure for finding an improved upper bound on the number of optimal design points

Seung Won Hyun, Min Yang, Nancy Flournoy

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Knowing an upper bound on the number of optimal design points greatly simplifies the search for an optimal design. Carathéodory's Theorem is commonly used to identify an upper bound. However, the upper bound from Carathéodory's Theorem is relatively loose when there are three or more parameters in the model. In this paper, an alternative approach of finding a sharper upper bound for classical optimality criteria is proposed. Examples are given to demonstrate how to use the new approach.

Original language	English (US)
Pages (from-to)	276-282
Number of pages	7
Journal	Computational Statistics and Data Analysis
Volume	58
Issue number	1
DOIs	https://doi.org/10.1016/j.csda.2012.08.012
State	Published - Feb 2013
Externally published	Yes

Keywords

Carathéodory's theorem
Cardinality of design
Experimental design
Nonlinear regression

ASJC Scopus subject areas

Statistics and Probability
Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1016/j.csda.2012.08.012

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A procedure for finding an improved upper bound on the number of optimal design points

Abstract

Keywords

ASJC Scopus subject areas

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