Minimum aberration blocking schemes for 128-run designs

Journal of Statistical Planning and Inference

Volumn 140, Issue 11, 2010, Pages 3213-3229

  Xu, Hongquan ^a   Mee, Robert W ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

Author keywords

Blocking; Fractional factorial design; Minimum aberration; Word length pattern

Indexed keywords

EID: 77954029504     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2010.04.009     Document Type: Article

References (21)

1. Bisgaard S. A note on the definition of resolution for blocked 2k-p designs. Technometrics 1994, 36:308-311.
2. Bisgaard S., Fuller H.T., Barrios E. Two-level factorials run as split plot experiments. Quality Engineering 1996, 8(4):705-708.
3. Block R.M., Mee R.W. Resolution IV designs with 128 runs. Journal of Quality Technology 2005, 37:282-293. 2006, 38; 196 (Corrigenda).
4. Chen H., Cheng C.S. Theory of optimal blocking of 2n-m designs. The Annals of Statistics 1999, 27:1948-1973.
5. Cheng C.S., Tsai P.W. Optimal two-level regular fractional factorial block and split-plot designs. Biometrika 2009, 96:83-93.
6. Cheng S.W., Wu C.F.J. Choice of optimal blocking schemes in two-level and three-level designs. Technometrics 2002, 44:269-277.
7. Edwards D.J., Mee R.W. Empirically determined p-values for Lenth t-statistics. Journal of Quality Technology 2008, 40(4):368-380.
8. Fisher R.A. The Design of Experiments 1950, Oliver and Boyd, London, England. sixth ed.
9. Fries A., Hunter W.G. Minimum aberration 2k-p designs. Technometrics 1980, 22:601-608.
10. Hoang E.M., Liauw C.M., Allen N.S., Fontan E., Lafuente P. Effect of additive interactions on the thermo-oxidative stabilization of a film grade metallocene LLDPE. Journal of Vinyl and Additive Technology 2004, 10(3):149-156.
11. Loeppky J.L., Sitter R.R. Analyzing unreplicated blocked or split-plot fractional factorial designs. Journal of Quality Technology 2002, 34(3):229-243.
12. Mukerjee R., Wu C.F.J. Blocking in fractional factorials: a projective geometry approach. The Annals of Statistics 1999, 27:1256-1271.
13. Sitter R.R., Chen J., Feder M. Fractional resolution and minimum aberration in blocked factorial designs. Technometrics 1997, 39:382-390.
14. Sun D.X., Wu C.F.J., Chen Y. Optimal blocking schemes for 2n and 2n-p designs. Technometrics 1997, 39:298-307.
15. Xu H. Blocked regular fractional factorial designs with minimum aberration. The Annals of Statistics 2006, 34:2534-2553.
16. Xu H. Algorithmic construction of efficient fractional factorial designs with large run sizes. Technometrics 2009, 51:262-277.
17. Xu H., Lau S. Minimum aberration blocking schemes for two- and three-level fractional factorial designs. Journal of Statistical Planning and Inference 2006, 136:4088-4118.
18. Yates F. The Design and Analysis of Factorial Experiments 1937, Imperial Bureau of Soil Science, Harpenden, England.
19. Ye K.Q., Hamada M. Critical values of the Lenth method for unreplicated factorial designs. Journal of Quality Technology 2000, 32(1):57-66.
20. Young J.C., Abraham B., Whitney J.B. Design implementation in a foundry: a case study. Quality Engineering 1990, 3(2):167-180.
21. Zhang R., Park D. Optimal blocking of two-level fractional factorial designs. Journal of Statistical Planning and Inference 2000, 91:107-121.