Some guidelines for constructing exact d-optimal designs on convex design spaces

Mark E. Johnson; Christopher J. Nachtsheim

doi:10.1080/00401706.1983.10487880

Some guidelines for constructing exact d-optimal designs on convex design spaces

Mark E. Johnson, Christopher J. Nachtsheim

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

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Abstract

Some problems unique to the construction of N-point D-optimal designs on convex design spaces are considered. Multiple-point augmentation and exchange algorithms are shown to be more costly and less efficient than the analogous single-point procedures. Moreover, some recommendations for improving single-point methods are given. Finally, empirical evidence is found that supports the Galil and Kiefer option for constructing initial designs and Powell's optimization method for design augmentation.

Original language	English (US)
Pages (from-to)	271-277
Number of pages	7
Journal	Technometrics
Volume	25
Issue number	3
DOIs	https://doi.org/10.1080/00401706.1983.10487880
State	Published - Aug 1983
Externally published	Yes

Bibliographical note

Funding Information:
The authors would like to thank the refereesa nd the editor for suggestionst hat led to a much improved presentation. The authors are also indebted to Dennis Cook for helpful comments during the course of their research,a nd to James Evans for help in implementing the modified simplex algorithm. This work was partially performed under the auspiceso f the United States Department of Energy (Contract w-7405- ENG.36).

Keywords

Conjugate directions
D-optimal
Design augmentation
Exchange algorithm
Nonlinear optimization
Simplex search

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Some guidelines for constructing exact d-optimal designs on convex design spaces

Abstract

Bibliographical note

Keywords

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