Using hierarchical probability models to evaluate robust parameter design methods

Journal of Quality Technology

Volumn 40, Issue 1, 2008, Pages 59-77

  Frey, Daniel D ^a,b,c,e   Li, Xiang ^a,c,d  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b Massachusetts Institute of Technology

^c ASQ ^*

^d Department of Mechanical Engineering

^e ASME

Author keywords

Combined array; Product array; Response modeling; Signal to noise ratio

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; POPULATION DYNAMICS; SIGNAL TO NOISE RATIO;

COMBINED ARRAYS; HIERARCHICAL PROBABILITY MODELS; PRODUCT ARRAYS; RESPONSE MODELING;

PROBABILITY;

EID: 39449110437     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2008.11917713     Document Type: Article

References (32)

1. BORROR, C. M. and MONTGOMERY, D. C. (2000). "Mixed Resolution Designs as Alternatives to Taguchi Inner/Outer Array Designs for Robust Design Problems". Quality and Reliability International 16, pp. 117-127.
2. Box, G. E. P (1985), "Discussion: Off Line Quality Control, Parameter Design, and the Taguchi Method". Journal of Quality Technology 17, pp. 189-190.
3. Box, G. E. P (1988). "Signal-to-Noise Ratios, Performance Criteria, and Transformations (with Discussion)". Technometrics 30, pp. 1-40.
4. Box, G. E. P. (1999). "Statistics as a Catalyst to Learning by Scientific Method Part II - A Discussion". Journal of Quality Technology 31, pp. 16-29.
5. Box, G. E. P. and MEYER, R. D. (1986). "An Analysis of Unreplicated Fractional Factorials". Technometrics 28, pp. 11-18.
6. CHIPMAN, H. (1996). "Bayesian Variable Selection with Related Predictors". Canadian Journal of Statistics 24, pp. 17-36.
7. CHIPMAN, H. M.; HAMADA, M.; and WU, C. F. J. (1997). "Bayesian Variable-Selection Approach for Analyzing Designed Experiments with Complex Aliasing". Technometrics 39, pp. 372-381.
8. CANIEL, C. (1959). "Use of Half-Normal Plots in Interpreting Factorial Two-Level Experiments". Technometrics 1, pp. 311-341.
9. EASTERBROOK, P. J.; BERLIN, J. A.; GOPALAN, R.; and MATHEWS, D. R. (1991). "Publication Bias in Clinical Research". Lancet 337, pp. 867-872.
10. FREY, D. D. and DYM, C. (2006). "Validation of Design Methods: Lessons from Medicine". Research in Engineering Design 17, pp. 45-57.
11. FREY, D. D. and WANG, H. (2006). "Adaptive One-Factor-at-a-Time Experimentation and Expected Value of Improvement". Technometrics 48, pp. 418-431.
12. FREY, D. D. and SUDARSANAM, N. (2008). "An Adaptive One-Factor-at-a-Time Method for Robust Parameter Design: Comparison with Crossed Arrays via Case Studies". ASME Journal of Mechanical Design, forthcoming.
13. HAMADA, M. and WU, C. F. J. (1992). "Analysis of Designed Experiments with Complex Aliasing". Journal of Quality Technology 24, pp. 130-137.
14. KACKER, R. N. (1985). "Off Line Quality Control, Parameter Design, and the Taguchi Method". Journal of Quality Technology 17, pp. 176-188.
15. KUNERT, J.; AUER, C.; ERDBRUGGE, M.; and GOBEL, R. (2007). "An Experiment to Compare the Combined Array and the Product Array for Robust Parameter Design". Journal of Quality Technology 39, pp. 17-34.
16. CENTH, R. V. (1989). "Quick and Easy Analysis of Unreplicated Factorials". Technometrics 31, pp. 469-473.
17. CI, X.; SUDARSANAM, N.; and FREY, D. D. (2006). "Regularities in Data from Factorial Experiments". Complexity 11, pp. 32-45.
18. CUCAS, J. M. (1989). "Achieving a Robust Process Using Response Surface Methodology". Proceedings of the American Statistical Association, Sesquicentennial Invited Paper Sessions, pp. 579-593.
19. CUCAS, J. M. (1994). "How to Achieve a Robust Process Using Response Surface Methodology". Journal of Quality Technology 26, pp. 248-256.
20. CORRISON, S. J. (1957). "Study of Variability in Engineering Design". Applied Statistics 6, pp. 133-138.
21. NAIR, V. N. (ED.) (1992). "Taguchi's Parameter Design: A Panel Discussion". Technometrics 34, pp. 127-161.
22. PARETO, V. (1893) Cours d'Économie Politique. L. Larose &¿ Forcel, Paris.
23. PHADKE, M. S. (1989). Quality Engineering Using Robust Design. Prentice-Hall, Englewood Cliffs, NJ.
24. ROSENBAUM, P. R. (2004). "Dispersion Effects from Fractional Factorials in Taguchi's Method of Quality Design". Journal of Royal Statistics Society, Section B 56, pp. 641-652.
25. ROSENBAUM, P. R. (1996). "Some Useful Compound Dispersion Experiments in Quality Design". Technometrics 38, pp. 354-364.
26. SHOEMAKER, A. C.; TSUI, K.-L.; and WU, C. F. J. (1991). "Economical Experimentation Methods for Robust Design". Technometrics 33, pp. 415-427.
27. STEINBERG, D. M. and BURSZTYN, D. (1994). "Dispersion Effects in Robust-Design Experiments with Noise Factors". Journal of Quality Technology 26, pp. 12-20.
28. TAGUCHI, G. and WU, Y. (1985). Introduction to Off-Line Quality Control. Central Japan Quality Control Association, Tokyo.
29. CINING, G. G. and MEYERS, R. H. (1990). "Combining Taguchi and Response Surface Philosophies: A Dual Response Approach". Journal of Quality Technology 22, pp. 38-45.
30. WELCH, W. J.; YU, T.-K.; KANG, S. M.; and SACKS, J. (1990). "Computer Experiments for Quality Control by Parameter Design". Journal of Quality Technology 22, pp. 15-22.
31. WU, C. F. J. and HAMADA, M. (2000). Experiments: Planning, Analysis, and Parameter Design Optimization. Wiley & Sons, Inc., New York, NY.
32. WU, C. F. J. and ZHU, Y. (2003). "Optimal Selection of Single Arrays for Parameter Design Experiments". Statistica Sinica 13, pp. 1179-1199.