Optimal mixed-level supersaturated design

Kai Tai Fang; K. J. Lin Dennis; Min Qian Liu

doi:10.1007/s001840300266

Optimal mixed-level supersaturated design

Kai Tai Fang, K. J. Lin Dennis, Min Qian Liu

Statistics

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

112 Scopus citations

Abstract

A supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. In this paper, E(f_NOD) criterion is employed for comparing supersaturated designs from the viewpoint of orthogonality and uniformity, and a lower bound of E(f_NOD) which can serve as a benchmark of design optimality is obtained. It is shown that the existing E(s²) and ave x² criteria (for two- and three-level supersaturated designs respectively) are in fact special cases of this criterion. Furthermore, a construction method for mixed-level supersaturated designs is proposed and some properties of the resulting designs are investigated.

Original language	English (US)
Pages (from-to)	279-291
Number of pages	13
Journal	Metrika
Volume	58
Issue number	3
DOIs	https://doi.org/10.1007/s001840300266
State	Published - 2003

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1007/s001840300266

Cite this

@article{b10ad0a1733b4055a6917a2ef1d0b7cb,

title = "Optimal mixed-level supersaturated design",

abstract = "A supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. In this paper, E(fNOD) criterion is employed for comparing supersaturated designs from the viewpoint of orthogonality and uniformity, and a lower bound of E(fNOD) which can serve as a benchmark of design optimality is obtained. It is shown that the existing E(s2) and ave x2 criteria (for two- and three-level supersaturated designs respectively) are in fact special cases of this criterion. Furthermore, a construction method for mixed-level supersaturated designs is proposed and some properties of the resulting designs are investigated.",

author = "Fang, {Kai Tai} and {Lin Dennis}, {K. J.} and Liu, {Min Qian}",

year = "2003",

doi = "10.1007/s001840300266",

language = "English (US)",

volume = "58",

pages = "279--291",

journal = "Metrika",

issn = "0026-1335",

publisher = "Springer Verlag",

number = "3",

}

TY - JOUR

T1 - Optimal mixed-level supersaturated design

AU - Fang, Kai Tai

AU - Lin Dennis, K. J.

AU - Liu, Min Qian

PY - 2003

Y1 - 2003

N2 - A supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. In this paper, E(fNOD) criterion is employed for comparing supersaturated designs from the viewpoint of orthogonality and uniformity, and a lower bound of E(fNOD) which can serve as a benchmark of design optimality is obtained. It is shown that the existing E(s2) and ave x2 criteria (for two- and three-level supersaturated designs respectively) are in fact special cases of this criterion. Furthermore, a construction method for mixed-level supersaturated designs is proposed and some properties of the resulting designs are investigated.

AB - A supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. In this paper, E(fNOD) criterion is employed for comparing supersaturated designs from the viewpoint of orthogonality and uniformity, and a lower bound of E(fNOD) which can serve as a benchmark of design optimality is obtained. It is shown that the existing E(s2) and ave x2 criteria (for two- and three-level supersaturated designs respectively) are in fact special cases of this criterion. Furthermore, a construction method for mixed-level supersaturated designs is proposed and some properties of the resulting designs are investigated.

UR - http://www.scopus.com/inward/record.url?scp=1342338205&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1342338205&partnerID=8YFLogxK

U2 - 10.1007/s001840300266

DO - 10.1007/s001840300266

M3 - Article

AN - SCOPUS:1342338205

SN - 0026-1335

VL - 58

SP - 279

EP - 291

JO - Metrika

JF - Metrika

IS - 3

ER -

Optimal mixed-level supersaturated design

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this