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 | |
| State | Published - Jan 1 1983 |
| Externally published | Yes |
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Keywords
- Conjugate directions
- D-optimal
- Design augmentation
- Exchange algorithm
- Nonlinear optimization
- Simplex search
Cite this
Some guidelines for constructing exact d-optimal designs on convex design spaces. / Johnson, Mark E.; Nachtsheim, Christopher J.
In: Technometrics, Vol. 25, No. 3, 01.01.1983, p. 271-277.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Some guidelines for constructing exact d-optimal designs on convex design spaces
AU - Johnson, Mark E.
AU - Nachtsheim, Christopher J
PY - 1983/1/1
Y1 - 1983/1/1
N2 - 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.
AB - 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.
KW - Conjugate directions
KW - D-optimal
KW - Design augmentation
KW - Exchange algorithm
KW - Nonlinear optimization
KW - Simplex search
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UR - http://www.scopus.com/inward/citedby.url?scp=0020799674&partnerID=8YFLogxK
U2 - 10.1080/00401706.1983.10487880
DO - 10.1080/00401706.1983.10487880
M3 - Article
VL - 25
SP - 271
EP - 277
JO - Technometrics
JF - Technometrics
SN - 0040-1706
IS - 3
ER -