Construction of E(fNOD)-optimal mixed-level supersaturated designs

ZHOU Hai-ying, ZHANG Chong-qi

PDF(980 KB)
PDF(980 KB)
Journal of Guangzhou University(Natural Science Edition) ›› 2018, Vol. 17 ›› Issue (3) : 6-10.

Construction of E(fNOD)-optimal mixed-level supersaturated designs

  • ZHOU Hai-ying1, ZHANG Chong-qi2
Author information +
History +

Abstract

A supersaturated design is essentially a factorial design with the equal occurrence of levels property and no fully aliased factors in which the number of main effects is greater than the number of runs. It attracts a lot of interest because of its potential in factor screening experiments. The construction and analysis of symmetrical supersaturated designs have been widely explored, while asymmetrical (or mixed-level) supersaturated designs deserve further investigation. The main purpose of this article is to provide constructing methods for E(fNOD)-optimal mixed-level supersaturated designs. We use a E(fNOD)-optimal design and an orthogonal array (OA) to construct a new E(fNOD)-optimal supersaturated designs with more mixed-level factors.

Key words

supersaturated design / E(fNOD)-optimal design / orthogonality / uniformity / column juxtaposition / Kroneeker sum / orthogonal array

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
ZHOU Hai-ying, ZHANG Chong-qi. Construction of E(fNOD)-optimal mixed-level supersaturated designs. Journal of Guangzhou University(Natural Science Edition). 2018, 17(3): 6-10

References

[1] TANG B, WU C F J. A method for constructing supersaturated designs and its (s2) optimality[J]. Canadian Journal of Statistics, 1997, 25(2): 191-201.
[2] YAMADA S, LIN D K J. Three-level supersaturated designs[J]. Statistics & Probability Letters, 1999, 45: 31-39.
[3] 张崇岐.一类含定性因子混料模型的最优设计[J]. 广州大学学报(自然科学版),2017, 16(4): 18-21.
[4] 张崇岐,陈博照. 一类混料指数模型的D-最优设计[J]. 广州大学学报(自然科学版),2015, 14(4): 1-3.
[5] 吴惠彬,张崇岐.一类多维线性混料模型的最优设计[J]. 广州大学学报(自然科学版),2017, 16(5): 27-32.
[6] FANG K T, LIN D K J, LIU M Q. Optimal mixed-level supersaturated design[J]. Metrika, 2003, 58(3): 279-291.
[7] LIU M Q, LIN D K J. Construction of optimal mixed-level supersaturated designs[J]. Statistica Sinica, 2009, 19: 197-211.
[8] FANG K T, GE G N, LIU M Q, et al. Combinatorial constructions for optimal supersaturated designs[J]. Discrete Mathematics, 2004, 279: 191-202.
[9] FANG K T, GE G N, LIU M Q. Construction of optimal supersaturated designs by the packing method[J]. Science China, Series A, 2004, 47(1): 128-143.
[10]LIU M Q, LIN D K J. Construction of optimal mixed-level supersaturated designs[J]. Journal of Statistical Planning and Inference, 2006, 91:139-150.
PDF(980 KB)

109

Accesses

0

Citation

Detail
Sections
Recommended
Copyright © Journal of Guangzhou University(Natural Science Edition)
Tel: (020)39366067　
E-mail: journal@gzhu.edu.cn
Powered by Beijing Magtech Co. Ltd.

/

〈 〉