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

Statistics

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

77 Scopus citations

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 (US)
Pages (from-to)	239-252
Number of pages	14
Journal	Journal of Statistical Planning and Inference
Volume	86
Issue number	1
DOIs	https://doi.org/10.1016/s0378-3758(99)00163-9
State	Published - Apr 15 2000

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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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.",

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

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. ",

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On the construction of multi-level supersaturated designs

Abstract

All Science Journal Classification (ASJC) codes

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