Construction of generalized minimum aberration designs of 3, 4 and 5 factors

Journal of Statistical Planning and Inference

Volumn 113, Issue 1, 2003, Pages 335-340

  Tang, Boxin ^a   Deng, Lih Yuan ^a  

^a University of Memphis   (United States)

Author keywords

Nonregular fractional factorial; Plackett Burman design

Indexed keywords

EID: 0037387563     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(01)00295-6     Document Type: Article

References (11)

1. Box, G.E.P., Hunter, W.G., Hunter, J.S., 1978. Statistics for Experimenters. Wiley, New York.
2. n-m fractional factorial designs with (weak) minimum aberration. Ann. Statist. 24, 2536-2548.
3. n-k fractional factorial designs with minimum aberration or optimal moments. Ann. Statist. 19, 1028-1041.
4. Cheng, C.S., Steinberg, D.M., Sun, D.X., 1999. Minimum aberration and model robustness for two level fractional factorial designs. J. Roy. Statist. Soc. Ser. B 61, 85-93.
5. Deng, L.Y., Tang, B., 1999. Generalized resolution and minimum aberration criteria for Plackett-Burman and other nonregular factorial designs. Statist. Sinica 9, 1071-1082.
6. Deng, L.Y., Tang, B., 2001. Design selection and classification for Hadamard matrices using generalized minimum aberration criteria. Technometrics, to appear.
7. Lin, D.K.J., Draper, N.R., 1992. Projection properties of Plackett and Burman designs. Technometrics 34, 423-428.
8. Plackett, R.L., Burman, J.P., 1946. The design of optimum multi-factorial experiments. Biometrika 33, 305-325.
9. 2 -aberration for nonregular fractional factorial designs. Ann. Statist. 27, 1914-1926.
10. n-k designs in terms of their complementary designs. Ann. Statist. 24, 2549-2559.
11. Wang, J.C., Wu, C.F.J., 1995. A hidden projection property of Plackett-Burman and related designs. Statist. Sinica 5, 235-250.