Bayesian analysis of quality level using simulation methods

Journal of Quality Technology

Volumn 32, Issue 2, 2000, Pages 172-182

  Raghunathan, T E ^a,b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b Institute for Social Research   (United States)

Author keywords

Acceptance Sampling; Bayesian Methods; Posterior Distribution; Quality Control; Sensitivity Analysis; Variable Sampling

Indexed keywords

EID: 2342559661     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2000.11979988     Document Type: Article

References (27)

1. APTECH SYSTEMS, INC. (1992). The GAUSS System, Version 3.1. Aptech Systems, Maple Valley, WA.
2. BOX G. E. P. and TIAO, G. C. (1973). Bayesian Inference in Statistical Analysis. Addison-Wesley, Reading, MA.
3. Box, G. E. P. (1980). "Sampling and Bayesian Inference in Scientific Modelling and Robustness". Journal of the Royal Statistical Society B 143, pp. 383-430.
4. BRUSH, G. G.; HOADLEY, B.; and SAPERSTEIN, B. (1990). "Estimating Outgoing Quality Using the Quality Measurement Plan". Technometrics 32, pp. 31-41.
5. BUSH, R. R. and MOSTELLER, F. (1955). Stochastic Models for Learning. John Wiley & Sons, New York, NY.
6. CARLIN, B. P. and LOUIS, T. A. (1996). Bayes and Empirical Bayes Methods for Data Analysis. Chapman & Hall, New York, NY.
7. COCHRAN, W. G. (1977). Sampling Techniques, 3rd ed. John Wiley & Sons, New York, NY.
8. DEMPSTER, A. P. (1971). "Model Searching and Estimation in the Logic of Inference" in Proceedings of the Symposium on the Foundations of Statistical Inference, edited by V. P. Godambe and D. A. Sprott. Holt, Rinehart, and Winston, Toronto, Canada, pp. 56-81.
9. DUMOUCHEL, W. M. and WATERNAUX, C. E. (1992). Comment on "Hierarchical Models for Combining Information and for Meta Analysis" in Bayesian Statistics 4, edited by J. M. Bernardo, J. O. Berger, A. P. Dawid, and A. F. M. Smith. Oxford University Press, Oxford, UK. pp. 338-341.
10. DUNNETT, C. W. and SOBEL, M. (1954). "A Bivariate Generalization of Student's t-distribution with Tables for Certain Special Cases''. Biometrika 41, pp. 153-169.
11. GELMAN, A.; CARLIN, J. B.; STERN, H. S.; and RUBIN, D. B. (1995). Bayesian Data Analysis. Chapman & Hall, London, Uk.
12. GEWEKE, J. (1989). "Bayesian Inference in Econometric Models Using Monte-Carlo Integration". Eonometrica 57, pp. 1317-1339.
13. GILKS, W. R.; RICHARDSON, S.; and SPIEGELHALTER, D. J., eds. (1990). Markov Chain Monte Carlo in Practice, Chapman & Hall, New York, NY.
14. GREENBERG, B. S. and STOKES, S. L. (1992). "Estimating Nonconformance Rates After Zero-Defect Sampling with Rectification". Technometrics 34, pp. 203-213.
15. GUTTMAN, I. (1967). "The Use of the Concept of a Future Observations in Goodness-of-Fit Problems". Journal of the Royal Statistical Society B 29, pp. 83-100.
16. HAHN, G. J. (1986). "Estimating the Percent Nonconforming in the Accepted Product After Zero Defect Sampling". Journal of Quality Technology 18, pp. 182-188.
17. HAHN, G. J. and RAGHUNATHAN, T. E. (1988). "Combining Information From Various Sources: A Prediction Problem and Other Industrial Applications". Technometrics 30, pp. 41-52.
18. HAHN, G. J. and MEEKER, W. Q. (1990). Statistical Intervals: A Guide for Practitioners. John Wiley & Sons, New York, NY.
19. HAMMERSLEY, J. and HANDSCOMB, D. C. (1964). Monte Carlo Methods. John Wiley & Sons, New York, NY.
20. JEFFREYS, H. (1961). Theory of Probability. Oxford University Press, New York, NY.
21. JOHNSON, N. L. and KOTZ, S. (1972). Distributions in Statistics: Continuous Multivariate Distributions. John Wiley & Sons, New York, NY.
22. LANGE, K. L.; LITTLE, R. J. A.; and TAYLOR, J. M. G. (1989). "Robust Statistical Modeling Using the t distribution" Journal of American Statistical Association 84, pp. 881-896.
23. MARTZ, H. F. and ZIMMER, W. J. (1990). "A Nonparametric Bayes Empirical Bayes Procedure for Estimating the Percent Nonconforming in Accepted Lots". Journal of Quality Technology 22, pp. 95-104.
24. RAGHUNATHAN, T. E. and RUBIN, D. B. (1990). "An Application of Bayesian Statistics Using Sampling/Importance Resampling for a Deceptively Simple Problem in Quality Control" in Data Quality Control: Theory and Practice, edited by G. Liepins and V. R. R. Uppuluri. Marcel Dekker, New York, NY. pp. 229-243.
25. RAGHUNATHAN, T. E. (1992). "Monte-Carlo Methods for Exploring Sensitivity to Distributional Assumptions in a Bayesian Analysis of a Series of 2 × 2 Tables". Statistics in Medicine 13, pp. 1525-1538.
26. RUBIN, D. B. (1981). "Estimation in Parallel Randomized Experiments". Journal of Educational Statistics 6, pp. 377-401.
27. ZASLAVSKY, A. (1988). "Estimating Nonconformity Rates in c-defect Sampling". Journal of Quality Technology 20, pp. 248-259.