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 - http://www.scopus.com/inward/record.url?scp=33748450569&partnerID=8YFLogxK
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 -