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

摘要

[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]Fries, A., Hunter, W, G., Minimum aberration 2к-p designs, Technometrics, 1980, 22: 601-608.[3]Chen, H., Hedayat, A. S., 2n-l designs with weak minimum aberration, Ann. Statist., 1996, 24: 2536-2548.[4]Chen, J., Some results on 2n-к fractional factorial designs and search for minimum aberration designs, Ann.Statist., 1992, 20: 2124-2141.[5]Chen, J., Intelligent search for 213-6 and 214-7 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]Chen, J., Wu, C. F. J., Some results on 2n-к 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]Tang, B., Wu, C. F. J., Characterization of minimum aberration 2n-к designs in terms of their complementary designs, Ann. Statist., 1996, 24: 2549-2559.[13]Chen, H., Hedayat, A. S., 2n-m designs with resolution Ⅲ or Ⅳ containing clear two-factor interactions, J.Statist. Plann. Inference, 1998, 75: 147-158.[14]Tang, B., Ma, F., Ingram, D., Wang, H., Bounds on the maximum numbers of clear two factor interactions for 2m-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.