Optimal selection and ordering of columns in supersaturated designs

Journal of Statistical Planning and Inference

Volumn 141, Issue 7, 2011, Pages 2449-2462

  Niki, N ^a   Iwata, M ^b   Hashiguchi, H ^c   Yamada, S ^d  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

^b DENSO CORPORATION   (Japan)

^c SAITAMA UNIVERSITY   (Japan)

^d UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

Corresponding analysis; Exhaustive enumeration; Factor assignment; Non orthogonality; Optimal design

Indexed keywords

EID: 79952251316     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2011.02.007     Document Type: Article

References (21)

1. Booth K.H.V., Cox D.R. Some systematic supersaturated designs. Technometrics 1962, 4:489-495.
2. Butler N.A., Mead R., Eskridge K.M., Gilmour S.G. A general method of constructing E(s2)-optimal supersaturated designs. J. Roy. Statist. Soc. B 2001, 63(3):631-632.
3. Bulutoglu D.A., Cheng C.S. Construction of E(s2)-optimal supersaturated designs. Ann. Statist. 2004, 32(4):1662-1678.
4. Chen J., Liu M.Q. Optimal mixed-level supersaturated design with general number of runs. Statist. Probab. Lett. 2008, 78(15):2496-2502.
5. Cheng C.S. E(s2)-optimal supersaturated designs. Statist. Sinica 1997, 7:929-939.
6. Li W.W., Wu C.F.J. Columnwise-pairwise algorithms with applications to the construction of supersaturated designs. Technometrics 1997, 39(2):171-179.
7. Lin D.K.J. A new class of supersaturated designs. Technometrics 1993, 35:28-31.
8. Lin D.K.J. Generating systematic supersaturated designs. Technometrics 1995, 37(2):213-225.
9. Lejeune M.A. A coordinate-columnwise exchange algorithm for the construction of supersaturated saturated and non-saturated experimental designs. Amer. J. Math. Manag. Sci. 2003, 23(1, 2):109-142.
10. Nguyen N.K. An algorithm approach to constructing supersaturated designs. Technometrics 1996, 38(1):69-73.
11. Nguyen N.K., Cheng C.S. New E(s2)-optimal supersaturated designs constructed from incomplete block designs. Technometrics 2008, 50(1):26-31.
12. Nguyen N.K., Liu M.Q. An algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays. Comput. Statist. Data Anal. 2008, 50(12):5269-5276.
13. Nijenhuis A., Wilf H. Combinatorial Algorithms 1978, Academic Press. second ed.
14. Satterthwaite F.E. Random balance experimentation (with discussion). Technometrics 1959, 1(2):111-137.
15. Tang B., Wu C.F.J. A method for constructing supersaturated designs and its E(s2) optimality. Canadian J. Statist. 1997, 25(2):191-201.
16. Wu C.F.J. Construction of supersaturated designs through partially aliased interactions. Biometrika 1993, 80(3):661-669.
17. Yamada S., Ikebe Y., Hashiguchi H., Niki N. Construction of three-level supersaturated design. J. Statist. Plann. Inference 1999, 81:183-193.
18. Yamada S., Lin D.K.J. Supersaturated designs including an orthogonal base. Canadian J. Statist. 1997, 25(2):203-213.
19. Yamada S., Lin D.K.J. Three-level supersaturated designs. Statist. Probab. Lett. 1999, 45:31-39.
20. Yamada S., Lin D.K.J. Construction of mixed-level supersaturated designs. Metrika 2002, 56:205-214.
21. Yamada S., Matsui T. Optimality of mixed-level supersaturated designs. J. Statist. Plann. Inference 2002, 104:459-468.