Multi-level supersaturated designs based on error-correcting codes

Utilitas Mathematica

Volumn 71, Issue , 2006, Pages 65-82

  Georgiou, S ^a   Koukouvinos, C ^b   Mantas, P ^b  

^a UNIVERSITY OF THE AEGEAN   (Greece)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Codes; Dependency; Efficiency; Factorial designs; Supersaturated designs

Indexed keywords

EID: 33845800491     PISSN: 03153681     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. M.L. Aggarwal and Seema Gupta, A new method of construction of multi-level supersaturated designs, J. Statist. Plann. Inference 121 (2004), 127-134.
2. K.H.V. Booth and D.R. Cox, Some systematic supersaturated designs, Technometrics 4 (1962), 489-495.
3. G.E.P. Box and R.D. Meyer, An analysis for unreplicated fractional factorials, Technometrics 28 (1986), 11-18.
4. 2)-optimal supersaturated designs, J. R. Statist. Soc. B 63 (2001), 621-632.
5. 2)-optimal supersaturated designs, Statist. Sinica 7 (1997), 929-939.
6. K.T. Fang, D.K.J. Lin, and C.X. Ma, On the construction of multi-level supersaturated designs, J. Statist. Plann. Inference 86 (2000), 239-252.
7. K.T. Fang, D.K.J. Lin, and M.Q. Liu, Optimal mixed-level supersaturated design, Metrika 58 (2003), 279-291.
8. W.W. Li and C.F.J. Wu, Columnwise-pairwise algorithms with applications to the construction of supersaturated designs, Technometrics 39 (1997), 171-179.
9. D.K.J. Lin, A new class of supersaturated designs, Technometrics 35 (1993), 28-31.
10. D.K.J. Lin, Generating systematic supersaturated designs, Technometrics 37 (1995), 213-225.
11. 2) optimal supersaturated designs using cyclic BIBDs, J. Statist. Plann. Inference 91 (2000), 139-150.
12. X. Lu and Y. Meng, A new method in the construction of two-level supersaturated designs, J. Statist. Plann. Inference 86 (2000), 229-238.
13. X. Lu and Y. Sun, Supersaturated design with more than two levels, Chinese Ann. Math. 22B: 2 (2001), 183-194.
14. X. Lu, W. Hu, and Y. Zheng, A systematical procedure in the construction of multi-level supersaturated design, J. Statist. Plann. Inference 115 (2003), 287-310.
15. F.J. MacWilliams, and N.J.A. Sloane, The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1977.
16. N.K. Nguyen, An algorithmic approach to constructing supersaturated designs, Technometrics 38 (1996), 69-73.
17. R.L. Plackett and J.P. Burman, The design of optimum multifactorial experiments, Biometrika 33 (1946), 303-325.
18. F.E. Satterthwaite, Random balance experimentation (with discussions), Technometrics 1 (1959), 111-137.
19. 2-optimality, Canadian J. Statist. 25 (1997), 191-201.
20. C.F.J. Wu, Construction of supersaturated designs through partially aliased interactions, Biometrika 80 (1993), 661-669.
21. S. Yamada and D.K.J. Lin, Supersaturated designs including an orthogonal base, Canadian J. Statist. 25 (1997), 203-213.
22. S. Yamada, Y.T. Ikebe, H. Hashiguchi and N. Niki, Construction of three-level supersaturated design, J. Statist. Plann. Inference 81 (1999), 183-193.
23. S. Yamada and D.K.J. Lin, Three-level supersaturated designs, Statistics and Probability Letters 45 (1999), 31-39.
24. S. Yamada and T. Matsui, Optimality of mixed-level supersaturated designs, J. Statist. Plann. Inference 104 (2002), 459-468.