E (χ2)-optimal mixed-level supersaturated designs

Mingyao Ai; Kai-Tai Fang; Shuyuan He

doi:10.1016/j.jspi.2005.09.006

E (χ²)-optimal mixed-level supersaturated designs

Mingyao Ai^*
, Kai-Tai Fang
, Shuyuan He

^*Corresponding author for this work

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

23 Citations (Scopus)

Abstract

This paper introduces an optimality criterion for mixed-level supersaturated designs, called E (χ²), which covers E (s²) for two-level designs and ave (χ²) for symmetrical designs as two special cases. Some lower bounds of E (χ²) are obtained. Furthermore, it is shown that the E (χ²) criterion coincides with other existing criteria for nonregular mixed-level fractional factorial designs, which include minimum moment aberration, generalized minimum aberration, discrete uniformity and design efficiency. Several classes of E (χ²)-optimal mixed-level supersaturated designs from saturated orthogonal arrays are given.

Original language	English
Pages (from-to)	306-316
Number of pages	11
Journal	Journal of Statistical Planning and Inference
Volume	137
Issue number	1
DOIs	https://doi.org/10.1016/j.jspi.2005.09.006
Publication status	Published - 1 Jan 2007
Externally published	Yes

User-Defined Keywords

Design efficiency
Discrete discrepancy
Generalized minimum aberration
Minimum moment aberration
Mixed-level
Orthogonal array
Supersaturated design

Access to Document

10.1016/j.jspi.2005.09.006

Cite this

@article{97fb8262a23e44f399753d9eea60cd9a,

title = "E (χ2)-optimal mixed-level supersaturated designs",

abstract = "This paper introduces an optimality criterion for mixed-level supersaturated designs, called E (χ2), which covers E (s2) for two-level designs and ave (χ2) for symmetrical designs as two special cases. Some lower bounds of E (χ2) are obtained. Furthermore, it is shown that the E (χ2) criterion coincides with other existing criteria for nonregular mixed-level fractional factorial designs, which include minimum moment aberration, generalized minimum aberration, discrete uniformity and design efficiency. Several classes of E (χ2)-optimal mixed-level supersaturated designs from saturated orthogonal arrays are given.",

keywords = "Design efficiency, Discrete discrepancy, Generalized minimum aberration, Minimum moment aberration, Mixed-level, Orthogonal array, Supersaturated design",

author = "Mingyao Ai and Kai-Tai Fang and Shuyuan He",

note = "Funding Information: The authors cordially thank Prof. C. S. Cheng, Dr. H. Xu and Dr. M. Q. Liu for posting their newest manuscripts on supersaturated designs. 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 No. 10231030, CPSF No. 20040350240, the Hong Kong RGC Grant RGC/HKBU 200804 and Hong Kong Baptist University Grant FRG/03-04/II-711. Publisher copyright: {\textcopyright} 2005 Elsevier B.V. All rights reserved.",

year = "2007",

month = jan,

day = "1",

doi = "10.1016/j.jspi.2005.09.006",

language = "English",

volume = "137",

pages = "306--316",

journal = "Journal of Statistical Planning and Inference",

issn = "0378-3758",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - E (χ2)-optimal mixed-level supersaturated designs

AU - Ai, Mingyao

AU - Fang, Kai-Tai

AU - He, Shuyuan

N1 - Funding Information: The authors cordially thank Prof. C. S. Cheng, Dr. H. Xu and Dr. M. Q. Liu for posting their newest manuscripts on supersaturated designs. 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 No. 10231030, CPSF No. 20040350240, the Hong Kong RGC Grant RGC/HKBU 200804 and Hong Kong Baptist University Grant FRG/03-04/II-711. Publisher copyright: © 2005 Elsevier B.V. All rights reserved.

PY - 2007/1/1

Y1 - 2007/1/1

N2 - This paper introduces an optimality criterion for mixed-level supersaturated designs, called E (χ2), which covers E (s2) for two-level designs and ave (χ2) for symmetrical designs as two special cases. Some lower bounds of E (χ2) are obtained. Furthermore, it is shown that the E (χ2) criterion coincides with other existing criteria for nonregular mixed-level fractional factorial designs, which include minimum moment aberration, generalized minimum aberration, discrete uniformity and design efficiency. Several classes of E (χ2)-optimal mixed-level supersaturated designs from saturated orthogonal arrays are given.

AB - This paper introduces an optimality criterion for mixed-level supersaturated designs, called E (χ2), which covers E (s2) for two-level designs and ave (χ2) for symmetrical designs as two special cases. Some lower bounds of E (χ2) are obtained. Furthermore, it is shown that the E (χ2) criterion coincides with other existing criteria for nonregular mixed-level fractional factorial designs, which include minimum moment aberration, generalized minimum aberration, discrete uniformity and design efficiency. Several classes of E (χ2)-optimal mixed-level supersaturated designs from saturated orthogonal arrays are given.

KW - Design efficiency

KW - Discrete discrepancy

KW - Generalized minimum aberration

KW - Minimum moment aberration

KW - Mixed-level

KW - Orthogonal array

KW - Supersaturated design

UR - https://www.scopus.com/pages/publications/33748450569

U2 - 10.1016/j.jspi.2005.09.006

DO - 10.1016/j.jspi.2005.09.006

M3 - Journal article

AN - SCOPUS:33748450569

SN - 0378-3758

VL - 137

SP - 306

EP - 316

JO - Journal of Statistical Planning and Inference

JF - Journal of Statistical Planning and Inference

IS - 1

ER -

E (χ²)-optimal mixed-level supersaturated designs

Abstract

User-Defined Keywords

Access to Document

Other files and links

Fingerprint

Cite this