On the construction of multi-level supersaturated designs

Kai-Tai Fang; Dennis K.J. Lin; Chang-Xing Ma

doi:10.1016/s0378-3758(99)00163-9

On the construction of multi-level supersaturated designs

Kai-Tai Fang, Dennis K.J. Lin^*, Chang-Xing Ma

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

77 Citations (Scopus)

Abstract

New criteria of comparing multi-level supersaturated designs are proposed and their properties are studied. A new class of multi-level supersaturated designs are obtained by collapsing a U-type uniform design to an orthogonal array. A global optimization algorithm, the threshold accepting algorithm, is then applied to search for the best supersaturated designs under any prespecified criterion. Examples show that these newly constructed supersaturated designs have good modeling properties.

Original language	English
Pages (from-to)	239-252
Number of pages	14
Journal	Journal of Statistical Planning and Inference
Volume	86
Issue number	1
Early online date	20 Mar 2000
DOIs	https://doi.org/10.1016/s0378-3758(99)00163-9
Publication status	Published - 15 Apr 2000
Externally published	Yes

Scopus Subject Areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

User-Defined Keywords

62K10
62K15
Collapsing method
Effect sparsity
Near orthogonal design
Orthogonal array
Supersaturated designs
Threshold accepting
U -type designs
Uniform designs

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10.1016/s0378-3758(99)00163-9

Cite this

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title = "On the construction of multi-level supersaturated designs",

abstract = "New criteria of comparing multi-level supersaturated designs are proposed and their properties are studied. A new class of multi-level supersaturated designs are obtained by collapsing a U-type uniform design to an orthogonal array. A global optimization algorithm, the threshold accepting algorithm, is then applied to search for the best supersaturated designs under any prespecified criterion. Examples show that these newly constructed supersaturated designs have good modeling properties.",

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author = "Kai-Tai Fang and Lin, {Dennis K.J.} and Chang-Xing Ma",

note = "Funding Information: We thank the reviewers for useful comments that helped improve the paper. This work was partially supported by a Hong Kong UGC-grant and Hong Kong Baptist University. The authors thank Professor R. C. Zhang for sending us related materials and Dr. Fred J. Hickernell for his support and help. Dennis Lin is partially supported by National Science Foundation via Grant DMS-9704711 and National Science Council of ROC via Contract NSC 87-2119-M-001-007. Publisher copyright: {\textcopyright} 2000 Elsevier Science B.V. All rights reserved.",

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AU - Lin, Dennis K.J.

AU - Ma, Chang-Xing

N1 - Funding Information: We thank the reviewers for useful comments that helped improve the paper. This work was partially supported by a Hong Kong UGC-grant and Hong Kong Baptist University. The authors thank Professor R. C. Zhang for sending us related materials and Dr. Fred J. Hickernell for his support and help. Dennis Lin is partially supported by National Science Foundation via Grant DMS-9704711 and National Science Council of ROC via Contract NSC 87-2119-M-001-007. Publisher copyright: © 2000 Elsevier Science B.V. All rights reserved.

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N2 - New criteria of comparing multi-level supersaturated designs are proposed and their properties are studied. A new class of multi-level supersaturated designs are obtained by collapsing a U-type uniform design to an orthogonal array. A global optimization algorithm, the threshold accepting algorithm, is then applied to search for the best supersaturated designs under any prespecified criterion. Examples show that these newly constructed supersaturated designs have good modeling properties.

AB - New criteria of comparing multi-level supersaturated designs are proposed and their properties are studied. A new class of multi-level supersaturated designs are obtained by collapsing a U-type uniform design to an orthogonal array. A global optimization algorithm, the threshold accepting algorithm, is then applied to search for the best supersaturated designs under any prespecified criterion. Examples show that these newly constructed supersaturated designs have good modeling properties.

KW - 62K10

KW - 62K15

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KW - Effect sparsity

KW - Near orthogonal design

KW - Orthogonal array

KW - Supersaturated designs

KW - Threshold accepting

KW - U -type designs

KW - Uniform designs

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JO - Journal of Statistical Planning and Inference

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On the construction of multi-level supersaturated designs

Abstract

Scopus Subject Areas

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