Regular fractional factorial designs with minimum aberration and maximum estimation capacity

Annals of Statistics

Volumn 26, Issue 6, 1998, Pages 2289-2300

  Cheng, Ching Shui ^a   Mukerjee, Rahul ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b INDIAN INSTITUTE OF MANAGEMENT CALCUTTA   (India)

Author keywords

Estimation capacity; Projective geometry; Resolution; Upper weak majorization; Weak minimum aberration

Indexed keywords

EID: 0032236259     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1024691471     Document Type: Article

References (12)

1. BOSE, R. C. (1947). Mathematical theory of the symmetrical factorial design. Sankhyā 8 107-166.
2. k-p fractional factorial designs. Technometrics 3 311-351, 449-458.
3. n-m fractional factorial 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., STEINBERG, D. M. and SUN, D. X. (1998). Minimum aberration and model robustness for two-level factorial designs. J. Roy. Statist. Soc. Ser. B. To appear.
8. n-m designs. Technometrics 26 225-232.
9. k-p designs. Technometrics 22 601-608.
10. n-m designs with application to minimum aberration designs. Ann. Statist. 25 1176-1188.
11. SUN, D. X. (1993). Estimation capacity and related topics in experimental designs. Ph.D. dissertation, Univ. Waterloo.
12. n-m designs in terms of their complementary designs. Ann. Statist. 24 2549-2559.