Characterization of minimum aberration mixed factorials in terms of consulting designs

Statistical Papers

Volumn 46, Issue 2, 2005, Pages 157-171

  Ai, Mingyao ^a,b   Zhang, Runchu ^b  

^a PEKING UNIVERSITY   (China)

^b NANKAI UNIVERSITY   (China)

Author keywords

Coding theory; Consulting design; Minimum aberration; Mixed factorial design; Projective geometry; Wordlength pattern

Indexed keywords

EID: 33745882069     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02762966     Document Type: Article

References (14)

1. Bose RC (1961) On some connections between the design of experiments and information theory. Bull Inst Internat Statist 38, 257-271
2. n-m designs. Ann Statist 27, 1948-1973
3. MacWilliams FJ, Sloane NJA (1977) The Theory of Error-Correcting Codes. North-Holland, Amsterdam
4. Mukerjee R, Wu CFJ (2001) Minimum aberration designs for mixed Factorials in terms of complementary sets. Statist Sinica 11, 225-239
5. Peterson WW, Weldon EJ (1972) Error-Correcting Codes. MIT Press
6. Roman S (1992) Coding and Information Theory. Springer, New York
7. Sloane NJA, Stufken J (1996) A linear programming bound for orthogonal arrays with mixed levels. J Statist Plann Infer 56, 295-305
8. n-m designs with application to minimum aberrations. Ann Statist 25, 1176-1188
9. n-k designs in terms of their complementary designs. Ann Statist 25, 1176-1188
10. Wu CFJ, Hamada M (2000) Experiments: Planning, Analysis, and Parameter Design Optimization. Wiley, New York
11. Wu CFJ, Zhang RC (1993) Minimum aberration designs with two-level and four-level factors. Biometrika 80, 203-209
12. nt). Statist Sinica 2, 203-219
13. Xu H, Wu CFJ (2001) Generalized minimum aberration for asymmetrical fractional factorial designs. Ann Statist 29, 1066-1077
14. n-k designs. Statist Sinica 11, 213-223