Small response-surface designs

Norman R. Draper; D. K.J. Lin

doi:10.1080/00401706.1990.10484634

Small response-surface designs

Norman R. Draper, D. K.J. Lin

Statistics

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

149 Scopus citations

Abstract

Standard composite designs for fitting second-order response surfaces typically have a fairly large number of points, especially when k is large. In some circumstances, it is desirable to reduce the number of runs as much as possible while maintaining the ability to estimate all of the terms in the model. We first review prior work on small composite designs and then suggest some alternatives for k ≤ 10 factors. In some cases, even minimal-point designs are possible.

Original language	English (US)
Pages (from-to)	187-194
Number of pages	8
Journal	Technometrics
Volume	32
Issue number	2
DOIs	https://doi.org/10.1080/00401706.1990.10484634
State	Published - May 1990

All Science Journal Classification (ASJC) codes

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1080/00401706.1990.10484634

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title = "Small response-surface designs",

abstract = "Standard composite designs for fitting second-order response surfaces typically have a fairly large number of points, especially when k is large. In some circumstances, it is desirable to reduce the number of runs as much as possible while maintaining the ability to estimate all of the terms in the model. We first review prior work on small composite designs and then suggest some alternatives for k ≤ 10 factors. In some cases, even minimal-point designs are possible.",

author = "Draper, {Norman R.} and Lin, {D. K.J.}",

note = "Funding Information: Draper gratefully acknowledges partial support from National Science Foundation Grants DMS-8701027a nd DMS-8900426. We are grateful for the use of the research computer in the Department of Statistics, University of Wisconsin-Madison. We are most grateful to the two referees, whose sharply focused comments were extremely helpful.",

year = "1990",

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doi = "10.1080/00401706.1990.10484634",

language = "English (US)",

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AU - Draper, Norman R.

AU - Lin, D. K.J.

N1 - Funding Information: Draper gratefully acknowledges partial support from National Science Foundation Grants DMS-8701027a nd DMS-8900426. We are grateful for the use of the research computer in the Department of Statistics, University of Wisconsin-Madison. We are most grateful to the two referees, whose sharply focused comments were extremely helpful.

PY - 1990/5

Y1 - 1990/5

N2 - Standard composite designs for fitting second-order response surfaces typically have a fairly large number of points, especially when k is large. In some circumstances, it is desirable to reduce the number of runs as much as possible while maintaining the ability to estimate all of the terms in the model. We first review prior work on small composite designs and then suggest some alternatives for k ≤ 10 factors. In some cases, even minimal-point designs are possible.

AB - Standard composite designs for fitting second-order response surfaces typically have a fairly large number of points, especially when k is large. In some circumstances, it is desirable to reduce the number of runs as much as possible while maintaining the ability to estimate all of the terms in the model. We first review prior work on small composite designs and then suggest some alternatives for k ≤ 10 factors. In some cases, even minimal-point designs are possible.

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JO - Technometrics

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Small response-surface designs

Abstract

All Science Journal Classification (ASJC) codes

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