Optimal mixed-level supersaturated designs and a new class of combinatorial designs

Yu Tang; Mingyao Ai; Gennian Ge; Kai-Tai Fang

doi:10.1016/j.jspi.2006.07.012

Optimal mixed-level supersaturated designs and a new class of combinatorial designs

Yu Tang, Mingyao Ai, Gennian Ge^*, Kai-Tai Fang

^*Corresponding author for this work

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

13 Citations (Scopus)

9 Downloads (Pure)

Abstract

This paper considers the construction of optimal mixed-level supersaturated designs under the E (χ²)-optimality criterion. According to a lower bound of the E (χ²) value, a combinatorial construction method is proposed and illustrated. Meanwhile, a new class of combinatorial designs is put forward. Furthermore, some methods for constructing these combinatorial designs which correspond to E (χ²)-optimal mixed-level supersaturated designs are provided. All of these results extend the catalogue of E (χ²)-optimal mixed-level supersaturated designs.

Original language	English
Pages (from-to)	2294-2301
Number of pages	8
Journal	Journal of Statistical Planning and Inference
Volume	137
Issue number	7
DOIs	https://doi.org/10.1016/j.jspi.2006.07.012
Publication status	Published - 1 Jul 2007
Externally published	Yes

Scopus Subject Areas

Statistics and Probability
Statistics, Probability and Uncertainty
Applied Mathematics

User-Defined Keywords

Balanced
E (χ)-optimality
Mixed-level
Supersaturated design
Uniformly resolvable
Weighted design

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10.1016/j.jspi.2006.07.012

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title = "Optimal mixed-level supersaturated designs and a new class of combinatorial designs",

abstract = "This paper considers the construction of optimal mixed-level supersaturated designs under the E (χ2)-optimality criterion. According to a lower bound of the E (χ2) value, a combinatorial construction method is proposed and illustrated. Meanwhile, a new class of combinatorial designs is put forward. Furthermore, some methods for constructing these combinatorial designs which correspond to E (χ2)-optimal mixed-level supersaturated designs are provided. All of these results extend the catalogue of E (χ2)-optimal mixed-level supersaturated designs.",

keywords = "Balanced, E (χ)-optimality, Mixed-level, Supersaturated design, Uniformly resolvable, Weighted design",

author = "Yu Tang and Mingyao Ai and Gennian Ge and Kai-Tai Fang",

note = "Funding Information: The authors would like to thank the editor, the associate editor, and the two anonymous referees for their detailed comments. This work was supported by NSFC under Grant no. 10671007 for the first author; NSFC under Grant no. 10671007 for the second author; NSFC under Grant no. 10471127, Zhejiang Provincial NSF under Grant no. R604001, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry for the third author; the Hong Kong RGC Grant RGC/HKBU 200804 and Hong Kong Baptist University Grant FRG/03-04/II-711 for the last author.",

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AU - Tang, Yu

AU - Ai, Mingyao

AU - Ge, Gennian

AU - Fang, Kai-Tai

N1 - Funding Information: The authors would like to thank the editor, the associate editor, and the two anonymous referees for their detailed comments. This work was supported by NSFC under Grant no. 10671007 for the first author; NSFC under Grant no. 10671007 for the second author; NSFC under Grant no. 10471127, Zhejiang Provincial NSF under Grant no. R604001, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry for the third author; the Hong Kong RGC Grant RGC/HKBU 200804 and Hong Kong Baptist University Grant FRG/03-04/II-711 for the last author.

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Y1 - 2007/7/1

N2 - This paper considers the construction of optimal mixed-level supersaturated designs under the E (χ2)-optimality criterion. According to a lower bound of the E (χ2) value, a combinatorial construction method is proposed and illustrated. Meanwhile, a new class of combinatorial designs is put forward. Furthermore, some methods for constructing these combinatorial designs which correspond to E (χ2)-optimal mixed-level supersaturated designs are provided. All of these results extend the catalogue of E (χ2)-optimal mixed-level supersaturated designs.

AB - This paper considers the construction of optimal mixed-level supersaturated designs under the E (χ2)-optimality criterion. According to a lower bound of the E (χ2) value, a combinatorial construction method is proposed and illustrated. Meanwhile, a new class of combinatorial designs is put forward. Furthermore, some methods for constructing these combinatorial designs which correspond to E (χ2)-optimal mixed-level supersaturated designs are provided. All of these results extend the catalogue of E (χ2)-optimal mixed-level supersaturated designs.

KW - Balanced

KW - E (χ)-optimality

KW - Mixed-level

KW - Supersaturated design

KW - Uniformly resolvable

KW - Weighted design

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U2 - 10.1016/j.jspi.2006.07.012

DO - 10.1016/j.jspi.2006.07.012

M3 - Journal article

AN - SCOPUS:33947191410

SN - 0378-3758

VL - 137

SP - 2294

EP - 2301

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 7

ER -

Optimal mixed-level supersaturated designs and a new class of combinatorial designs

Abstract

Scopus Subject Areas

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