Generalized minimum aberration for asymmetrical fractional factorial designs

Annals of Statistics

Volumn 29, Issue 4, 2001, Pages 1066-1077

  Xu, Hongquan ^a   Wu, C F J ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

ANOVA; Distance distribution; MacWilliams transforms; Minimum aberration; Orthogonal arrays; Wordlength pattern

Indexed keywords

EID: 0035729234     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1013699993     Document Type: Article

References (23)

1. BAILEY, R. A. (1982). The decomposition of treatment degrees of freedom in quantitative factorial experiments. J. Roy. Statist. Soc. Ser. B 44 63-70.
2. BOSE, R. C. (1961). On some connections between the design of experiments and information theory. Bull. Inst. Internat. Statist. 38 257-271.
3. n-1 designs with weak minimum aberration. Ann. Statist. 24 2536-2548.
4. n-k fractional factorial designs and search for minimum aberration designs. Ann. Statist. 20 2124-2141.
5. CHEN, J., SUN, D. X. and WU, C. F. J. (1993). A catalogue of two-level and three-level fractional factorial designs with small runs. Internat. Statist. Rev. 61 131-145.
6. n-k fractional factorial designs with minimum aberration or optimal moments. Ann. Statist. 19 1028-1041.
7. CHENG, C. S. and MUKERJEE, R. (1998). Regular fractional factorial designs with minimum aberration and maximum estimation capacity. Ann. Statist. 26 2289-2300.
8. CHENG, C. S., STEINBERG, D. M. and SUN, D. X. (1999). Minimum aberration and model robustness for two-level fractional factorial designs. J. Roy. Statist. Soc. Ser. B 61 85-93.
9. DEY, A. and MUKERJEE, R. (1999). Fractional Factorial Plans. Wiley, New York
10. k-p designs. Technometrics 22 601-608.
11. HEDAYAT, A. S., SLOANE, N. J. A. and STUFKEN, J. (1999). Orthogonal Arrays: Theory and Applications. Springer, New York.
12. LAM, C. and TONCHEV, V. D. (1996). Classification of affine resolvable 2-(27,9,4) designs. J. Statist. Plann. Inference 56 187-202.
13. MACWILLIAMS, F. J. and SLOANE, N. J. A. (1977). The Theory of Error-correcting Codes. North-Holland, Amsterdam.
14. MUKERJEE, R. and WU, C. F. J. (1995). On the existence of saturated and nearly saturated asymmetrical orthogonal arrays. Ann. Statist. 23 2102-2115.
15. ROMAN, S. (1992). Coding and Information Theory. Springer, New York.
16. SLOANE, N. J. A. and STUFKEN, J. (1996). A linear programming bound for orthogonal arrays with mixed levels. J. Statist. Plann. Inference 56 295-306.
17. n-m designs with application to minimum aberration designs. Ann. Statist. 25 1176-1188.
18. 2-aberration for non-regular fractional factorial designs. Ann. Statist. 27 1914-1926.
19. n-m designs in terms of their complementary designs. Ann. Statist. 24 2549-2559.
20. VAN LINT, J. H. (1999). Introduction to Coding Theory, 3rd ed. Springer, New York.
21. WANG, J. C. and WU, C. F. J. (1995). A hidden projection property of Plackett-Burman and related designs. Statist. Sinica 5 235-250.
22. WU, C. F. J. and HAMADA, M. S. (2000). Experiments: Planning, Analysis and Parameter Design Optimization. Wiley, New York.
23. WU, C. F. J. and ZHANG, R. (1993). Minimum aberration designs with two-level and four-level factors. Biometrika 80 203-209.