Weak minimum aberration and maximum number of clear two-factor interactions in 2IVm-p designs

Science in China, Series A: Mathematics

Volumn 48, Issue 11, 2005, Pages 1479-1487

  Yang, Guijun ^a   Liu, Minqian ^a   Zhang, Runchu ^b  

^a TIANJIN UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b NANKAI UNIVERSITY   (China)

Author keywords

Clear; Resolution; Weak minimum aberration; Wordlength pattern

Indexed keywords

EID: 29144465630     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1360/04ys0165     Document Type: Article

References (16)

1. Wu, C. F. J., Chen, Y., A graph-aided method for planning two-level experiments when certain interactions are important, Technometrics, 1992, 34: 162-175.
2. k-p designs, Technometrics, 1980, 22: 601-608.
3. n-l designs with weak minimum aberration, Ann. Statist., 1996, 24: 2536-2548.
4. n-k fractional factorial designs and search for minimum aberration designs, Ann. Statist., 1992, 20: 2124-2141.
5. 14-7 minimum aberration designs, Statist. Sinica, 1998, 8: 1265-1270.
6. Chen, J., Sun, D. X., Wu, C. F. J., A catalogue of two-level and three-level fractional factorial designs with small runs, Internat. Statist. Rev., 1993, 61: 131-145.
7. n-k fractional factorial designs with minimum aberration or optimal moments, Ann. Statist., 1991, 19: 1028-1041.
8. Cheng, C. S., Mukerjee, R., Regular fractional factorial designs with minimum aberration and maximum estimation capacity, Ann. Statist., 1998, 26: 2289-2300.
9. Cheng, C. S., Steinberg, D. M., Sun, D. X., Minimum aberration and model robustness for two-level fractional factorial designs, J. Roy. Statist. Soc. Ser. B, 1999, 61: 85-93.
10. Draper, N. R., Lin, D. K. J., Capacity consideration for two-level fractional factorial designs, J. Statist. Plann. Inference, 1990, 24: 25-35.
11. Fang, K. T., Mukerjee, R., A connection between uniformity and aberration in regular fractions of two-level factorial, Biometrika, 2000, 87: 193-198.
12. n-k designs in terms of their complementary designs, Ann. Statist., 1996, 24: 2549-2559.
13. n-m designs with resolution III or IV containing clear two-factor interactions, J. Statist. Plann. Inference, 1998, 75: 147-158.
14. m-p designs of resolution III and IV, Canad. J. Statist., 2002, 30: 127-136.
15. Wu, H. Q., Wu, C. F. J., Clear two-factor interactions and minimum aberration, Ann. Statist., 2002, 30: 1496-1511.
16. Wu, C. F. J., Hamada, M., Experiments: Planning, Analysis, and Parameter Design Optimization, New York: John Wiley and Sons, 2000.