Accounting for mixture errors in analyzing mixture experiments

Journal of Quality Technology

Volumn 37, Issue 2, 2005, Pages 139-148

  Hamada, M ^a,c   Martz, H F ^a,c   Steiner, S ^b,d  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

^c Statistical Sciences   (United States)

^d Dept of Stat and Actuarial Science ^*  (Canada)

Author keywords

Bayesian Method; Error in Variables; MCMC

Indexed keywords

ALGORITHMS; INDUSTRIAL MANAGEMENT; MARKOV PROCESSES; MATHEMATICAL MODELS; PROBLEM SOLVING; VECTORS;

BAYESIAN METHODS; FIRST DEGREE MODELS; MIXTURE ERRORS; MIXTURE EXPERIMENTS;

PRODUCT DEVELOPMENT;

EID: 18144395863     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2005.11980312     Document Type: Article

References (10)

1. CASELLA, G. and GEORGE, E. I. (1992). "Explaining the Gibbs Sampler". American Statistician 46, pp. 167-174.
2. CHIB, S. and GREENBERG, E. (1995). "Understanding the Metropolis-Hastings Algorithm". American Statistician 49, pp. 327-335.
3. CORNELL, J. A. (2002). Experiments with Mixtures, Third Edition. John Wiley & Sons, Inc., New York, NY.
4. GILKS, W. R.; RICHARDSON, S.; and SPIEGELHALTER, D. J. (1996). Markov Chain Monte Carlo in Practice. Chapman and Hall, London, UK.
5. GILKS, W. R.; THOMAS, A.; and SPIEGELHALTER, D. J. (1994). "A Language and Program for Complex Bayesian Modeling". The Statistician 43, pp. 169-178.
6. HRMA, P. R.; PIEPEL, G. F.; SCHWEIGER, M. J.; SMITH, D. E.; KIM, D.-S.; REDGATE, P. E.; VIENNA, J. D.; LOPRESTI, C. A.; SIMPSON, D. B.; PEELER, D. K.; and LANGOWSKI, M. H. (1994). "Property/Composition Relationships for Hanford High-Level Waste Glasses Melting at 1150°C". Pacific Northwest Laboratory Report PNL-10359, Vols, 1 and 2, Richland, WA.
7. KOTZ, S. and JOHNSON, N. L. (Eds.) (1982). "Dirichlet Distribution" in Encyclopedia of Statistical Sciences Volume 2, pp. 386-387. John Wiley & Sons, Inc., New York, NY.
8. SCHEFFÉ, H. (1958). "Experiments with Mixtures". Journal of the Royal Statistical Society B, 20, pp. 344-360.
9. SPIEGELHALTER, D.; THOMAS, A.; and BEST, N. (2000). Win-BUGS Version 1.3 User Manual.
10. STEINER, S. H. and HAMADA, M. (1997). "Making Mixtures Robust to Noise and Mixing Measurement Errors". Journal of Quality Technology 29, pp. 441-450.