A general construction of E(fNOD)-optimal mixed-level supersaturated designs

Sankhya: The Indian Journal of Statistics

Volumn 69, Issue 2, 2007, Pages 358-372

  Koukouvinos, C ^a   Mantas, P ^b   Mylona, K ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b General Secretariat of National Statistical Service of Greece   (Greece)

Author keywords

Resolvable design; Supersaturated design; Supplementary difference sets; Uniform design

Indexed keywords

EID: 42249104018     PISSN: 09727671     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. AGGARWAL, M.L. and GUPTA, S. (2004). A new method of construction of multi-level supersaturated designs, J. Statist. Plann. Inference, 121, 127-134.
2. BOOTH, K.H.V. and Cox, D.R. (1962). Some systematic supersaturated designs, Technometrics, 4, 489-495.
3. BOX, G.E.P. and MEYER, R.D. (1986). An analysis for unreplicated fractional factorials, Technometrics, 28, 11-18.
4. FANG, K.T., GE, G., LIU, M.Q. and QIN, H. (2004). Combinatorial constructions for optimal supersaturated designs, Discrete Math., 279, 191-202.
5. FANG, K.T., LIN, D.K.J. and Liu, M.Q. (2003). Optimal mixed-level supersaturated design, Metrika, 58, 279-291.
6. GERAMITA, A.V. and SEBERRY, J. (1979). Orthogonal Designs: Quadratic Forms and Hadamard Matrices, Maxcel Dekker, New York.
7. GYSIN, M. and SEBERRY, J. (1998). On new families of supplementary difference sets over rings with short orbits, J. Combin. Math.. Combin. Comput., 28, 161-186.
8. LI, P.F., LIU, M.Q. and ZHANG, R.C. (2004). Some theory and the construction of mixed-level supersaturated designs, Statist. and Probab. Lett., 69, 105-116.
9. LIN, D.K.J. (1993). A new class of supersaturated designs, Technometrics, 35, 28-31.
10. NGUYEN, N.K. (1996). An algorithmic approach to constructing supersaturated designs, Technometrics, 38, 69-73.
11. SATTERTHWAITE, F.E. (1959). Random balance experimentation (with discussions), Technometrics, 1, 111-137.
12. SEBERRY WALLIS, J. (1973). Some remarks, on supplementary difference sets, Colloquia Mathematica Societatis Janos Bolyai, Hungary, 10, 1503-1526.
13. Xu, H. (2003). Minimum moment aberration for nonregular designs and supersaturated designs, Statist. Sinica, 13, 691-708.
14. Xu, H. and Wu, C.F.J. (2001). Generalized minimum aberration for asymmetrical fractional factorial designs, Ann. Statist., 29, 1066-1077.
15. Xu, H. and Wu, C.F.J. (2005). Construction of optimal multi-level supersaturated designs, Ann. Statist., 33, 2811-2836.
16. YAMADA, S. and MATSUI, T. (2002). Optimality of mixed-level supersaturated designs, J. Statist. Plann. Inference, 104, 459-468.
17. YAMADA, S. and LIN, D.K.J. (2002). Construction of mixed-level supersaturated design, Metrika, 56, 205-214.