An optimality criterion for supersaturated designs with quantitative factors

Chao Huang; Dennis K.J. Lin; Min Qian Liu

doi:10.1016/j.jspi.2012.02.003

An optimality criterion for supersaturated designs with quantitative factors

Chao Huang, Dennis K.J. Lin, Min Qian Liu

Statistics

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4 Scopus citations

Abstract

A supersaturated design (SSD) is a factorial design in which the degrees of freedom for all its main effects exceed the total number of distinct factorial level-combinations (runs) of the design. Designs with quantitative factors, in which level permutation within one or more factors could result in different geometrical structures, are very different from designs with nominal ones which have been treated as traditional designs. In this paper, a new criterion is proposed for SSDs with quantitative factors. Comparison and analysis for this new criterion are made. It is shown that the proposed criterion has a high efficiency in discriminating geometrically nonisomorphic designs and an advantage in computation.

Original language	English (US)
Pages (from-to)	1780-1788
Number of pages	9
Journal	Journal of Statistical Planning and Inference
Volume	142
Issue number	7
DOIs	https://doi.org/10.1016/j.jspi.2012.02.003
State	Published - Jul 2012

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1016/j.jspi.2012.02.003

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title = "An optimality criterion for supersaturated designs with quantitative factors",

abstract = "A supersaturated design (SSD) is a factorial design in which the degrees of freedom for all its main effects exceed the total number of distinct factorial level-combinations (runs) of the design. Designs with quantitative factors, in which level permutation within one or more factors could result in different geometrical structures, are very different from designs with nominal ones which have been treated as traditional designs. In this paper, a new criterion is proposed for SSDs with quantitative factors. Comparison and analysis for this new criterion are made. It is shown that the proposed criterion has a high efficiency in discriminating geometrically nonisomorphic designs and an advantage in computation.",

author = "Chao Huang and Lin, {Dennis K.J.} and Liu, {Min Qian}",

note = "Funding Information: This work was supported by the Program for New Century Excellent Talents in University ( NCET-07-0454 ) of China and the National Natural Science Foundation of China Grant 10971107 . ",

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T1 - An optimality criterion for supersaturated designs with quantitative factors

AU - Huang, Chao

AU - Lin, Dennis K.J.

AU - Liu, Min Qian

N1 - Funding Information: This work was supported by the Program for New Century Excellent Talents in University ( NCET-07-0454 ) of China and the National Natural Science Foundation of China Grant 10971107 .

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N2 - A supersaturated design (SSD) is a factorial design in which the degrees of freedom for all its main effects exceed the total number of distinct factorial level-combinations (runs) of the design. Designs with quantitative factors, in which level permutation within one or more factors could result in different geometrical structures, are very different from designs with nominal ones which have been treated as traditional designs. In this paper, a new criterion is proposed for SSDs with quantitative factors. Comparison and analysis for this new criterion are made. It is shown that the proposed criterion has a high efficiency in discriminating geometrically nonisomorphic designs and an advantage in computation.

AB - A supersaturated design (SSD) is a factorial design in which the degrees of freedom for all its main effects exceed the total number of distinct factorial level-combinations (runs) of the design. Designs with quantitative factors, in which level permutation within one or more factors could result in different geometrical structures, are very different from designs with nominal ones which have been treated as traditional designs. In this paper, a new criterion is proposed for SSDs with quantitative factors. Comparison and analysis for this new criterion are made. It is shown that the proposed criterion has a high efficiency in discriminating geometrically nonisomorphic designs and an advantage in computation.

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JO - Journal of Statistical Planning and Inference

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An optimality criterion for supersaturated designs with quantitative factors

Abstract

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