Modifying a central composite design to model the process mean and variance when there are hard-to-change factors

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 55, Issue 5, 2006, Pages 615-630

  Kowalski, Scott M ^a,e   Vining, G Geoffrey ^b   Montgomery, Douglas C ^c   Borror, Connie M ^d  

^a Minitab Inc   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^c ARIZONA STATE UNIVERSITY   (United States)

^d ARIZONA STATE UNIVERSITY   (United States)

^e Minitab Inc   (United States)

Author keywords

Central composite designs; Mean variance modelling; Response surface methodology; Robust parameter design; Split plot experiments

Indexed keywords

EID: 33750172859     PISSN: 00359254     EISSN: 14679876     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2006.00556.x     Document Type: Article

References (29)

1. Bingham, D. R., Schoen, E. D. and Sitter, R. R. (2004) Designing fractional factorial split-plot experiments with few whole-plot factors. Appl. Statist., 53, 325-339; correction, 54 (2005), 955-958.
2. Bingham, D. and Sitter, R. R. (1999) Minimum-aberration two-level fractional factorial split-plot designs. Technometrics, 41, 62-70.
3. Bingham, D. and Sitter, R. R. (2001) Design issues in fractional factorial split-plot experiments. J. Qual. Technol., 33, 2-15.
4. q-r split plot experiments. J. Qual. Technol., 32, 39-56.
5. Bisgaard, S. and Kulahci, M. (2001) Robust product design: saving trials with split-plot confounding. Qual. Engng, 13, 525-530.
6. Box, G. E. P. and Jones, S. (2001) Split-plots for robust product and process experimentation. Qual. Engng, 13, 127-134.
7. Chipman, H. (1998) Handling uncertainty in analysis of robust design experiments. J. Qual. Technol., 30, 11-17.
8. Del Castillo, E. and Montgomery, D. C. (1993) A non-linear programming solution to the dual response problem. J. Qual Technol., 25, 199-204.
9. Fan, S.-K. S. (2000) A generalized global optimization algorithm for dual response systems. J. Qual. Technol., 32, 444-456.
10. Goos, P. (2002) The Optimal Design of Blocked and Split-plot Experiments. New York: Springer.
11. Goos, P., Tack, L. and Vandebroek, M. (2001) Optimal designs for variance function estimation using sample variances. J. Statist. Planng Inf., 92, 233-252.
12. Goos, P. and Vandebroek, M. (2001) Optimal split-plot designs. J. Qual. Technol., 33, 436-450.
13. Goos, P. and Vandebroek, M. (2003) D-optimal split-plot designs with given numbers and sizes of whole plots. Technometrics, 45, 235-245.
14. Goos, P. and Vandebroek, M. (2004) Outperforming completely randomized designs. J. Qual. Technol., 36, 12-26.
15. Huang, P., Chen, D. and Voelkel, J. O. (1998) Minimum-aberration two-level split-plot designs. Technometrics, 40, 314-326.
16. Kackar, R. (1985) Off-line quality control, parameter designs, and Taguchi methods (with discussion). J. Qual. Technol., 17, 176-188.
17. Kim, K.-J. and Lin, D. K. J. (1998) Dual response surface optimization: a fuzzy modeling approach. J. Qual. Technol., 30, 1-10.
18. Kowalski, S. M. (2002) 24 run split-plot experiments for robust parameter design. J. Qual. Technol., 34, 399-410.
19. Kuhn, A. M., Carter, W. H. and Myers, R. H. (2000) Incorporating noise factors into experiments with censored data. Technometrics, 42, 376-383.
20. Letsinger, J. D., Myers, R. H. and Lentner, M. (1996) Response surface methods for bi-randomization structures. J. Qual. Technol., 28, 381-397.
21. Myers, R. H. and Carter, W. H. (1973) Response surface techniques for dual response systems. Technometrics, 15, 301-317.
22. Taguchi, G. (1987) System of Experimental Design: Engineering Methods to Optimize Quality and Minimize Cost. White Plains: Quality Resources.
23. Taguchi, G. (1991) Introduction to Quality Engineering. White Plains: UNIPUB-Kraus.
24. Taguchi, G. and Wu, Y. (1985) Introduction to Off-line Quality Control Nagoya: Central Japan Quality Association.
25. Trinca, L. A. and Gilmour, S. G. (2001) Multistratum response surface designs. Technometrics, 43, 25-33.
26. Vining, G. G. and Kowalski, S. M. (2006) Exact inference for response surface designs within a split-plot structure. To be published.
27. Vining, G. G., Kowalski, S. M. and Montgomery, D. C. (2005) Response surface designs within a split-plot structure. J. Qual. Technol., 37, 115-129.
28. Vining, G. G. and Myers, R. H. (1990) Combining Taguchi and response surface philosophies: a dual response approach. J. Qual. Technol., 22, 38-45.
29. Vining, G. G. and Schaub, D. (1996) Experimental designs for estimating both mean and variance functions. J. Qual. Technol., 28, 135-147.