Construction of multi-level supersaturated design via Kronecker product

Journal of Statistical Planning and Inference

Volumn 137, Issue 9, 2007, Pages 2984-2992

  Liu, Yukun ^a   Liu, Minqian ^a   Zhang, Runchu ^a  

^a LPMC   (China)

Author keywords

Dependency; Kronecker product; Non orthogonality; Orthogonal design; Supersaturated design

Indexed keywords

EID: 34248169135     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2006.11.002     Document Type: Article

References (27)

1. Aggarwal M.L., and Gupta S. A new method of construction of multi-level supersaturated designs. J. Statist. Plann. Inference 121 (2004) 127-134
2. Booth K.H.V., and Cox D.R. Some systematic supersaturated designs. Technometrics 4 (1962) 489-495
3. Box G.E.P., and Meyer R.D. An analysis for unreplicated fractional factorial. Technometrics 28 (1986) 11-18
4. Bush K.A. Orthogonal arrays of index unity. Ann. Math. Statist. 23 (1952) 426-434
5. Chatterjee K., and Gupta S. Construction of supersaturated designs involving s-level factors. J. Statist. Plann. Inference 113 (2003) 589-595
6. Fang K.T., Lin D.K.J., and Ma C.X. On the construction of multi-level supersaturated designs. J. Statist. Plann. Inference 86 (2000) 239-252
7. Fang K.T., Ge G.N., and Liu M.Q. Uniform supersaturated design and its construction. Sci. China Ser. A 45 8 (2002) 1080-1088
8. Fang K.T., Ge G.N., Liu M.Q., and Qin H. Construction of minimum generalized aberration designs. Metrika 57 1 (2003) 37-50
9. Fang K.T., Lin D.K.J., and Liu M.Q. Optimal mixed-level supersaturated design. Metrika 58 3 (2003) 279-291
10. Fang K.T., Ge G.N., and Liu M.Q. Construction of optimal supersaturated designs by the packing method. Sci. China Ser. A 47 1 (2004) 128-143
11. Fang K.T., Ge G.N., Liu M.Q., and Qin H. Combinatorial constructions for optimal supersaturated designs. Discrete Math. 279 (2004) 191-202
12. Fang K.T., Ge G.N., Liu M.Q., and Qin H. Construction of uniform designs via super-simple resolvable t-designs. Utilitas. Math. 66 (2004) 15-32
13. NOD) optimal mixed-level supersaturated designs. Statist. Probab. Lett. 74 (2005) 312-321
14. Koukouvinos C., and Stylianou S. Optimal multi-level supersaturated designs constructed from linear and quadratic functions. Statist. Probab. Lett. 69 (2004) 199-211
15. Li P.F., Liu M.Q., and Zhang R.C. Some theory and the construction of mixed-level supersaturated designs. Statist. Probab. Lett. 69 (2004) 105-116
16. Lin D.K.J. A new class of supersaturated designs. Technometrics 35 (1993) 28-31
17. 2)-optimality and minimum discrepancy in 2-level supersaturated designs. Statist. Sinica 12 3 (2002) 931-939
18. Liu M.Q., Fang K.T., and Hickernell F.J. Connections among different criteria for asymmetrical fractional factorial designs. Statist. Sinica 16 4 (2006) 1285-1297
19. Lu X., and Sun Y.Z. Supersaturated design with more than two levels. Chinese Ann. Math. 22B (2001) 183-194
20. Lu X., Hu W.B., and Zheng Y. A systematical procedure in the construction of multi-level supersaturated design. J. Statist. Plann. Inference 115 (2003) 287-310
21. Satterthwaite F. Random balance experimentation. Technometrics 1 (1959) 111-137 (with discussion)
22. Xu H. Minimum moment aberration for nonregular designs and supersaturated designs. Statist. Sinica 13 (2003) 691-708
23. Xu H., and Wu C.F.J. Construction of optimal multi-level supersaturated designs. Ann. Statist. 33 6 (2005) 2811-2836
24. Yamada S., and Lin D.K.J. Three-level supersaturated design. Statist. Probab. Lett. 45 (1999) 31-39
25. Yamada S., and Lin D.K.J. Construction of mixed-level supersaturated design. Metrika 56 3 (2002) 205-214
26. Yamada S., and Matsui T. Optimality of mixed-level supersaturated designs. J. Statist. Plann. Inference 104 (2002) 459-469
27. Yamada S., Ikebe Y., Hashiguchi H., and Niki N. Construction of three-level supersaturated design. J. Statist. Plann. Inference 81 (1999) 183-193