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Original Articles

A Semi-Bayesian Method for Shewhart Individual Control Charts

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Pages 111-125 | Received 01 Feb 2005, Accepted 01 Jun 2005, Published online: 09 Feb 2016

References

  • Albers, C.J. (2003). Distributional Inference: The Limits of Reason, Ph.D. Thesis, University of Groningen, The Netherlands.
  • Albers, C.J. and Schaafsma, W. (2003). Estimating a density by adapting an initial guess. Computational Statistics & Data Analysis, 42, 27–36.
  • Borror, C.M., Montgomery, D.C., and Runger, G.C. (1999). Robustness of the EWMA control chart to non-normality. Journal of Quality Technology, 31, 309–316.
  • Bruin, de R., Salomé, D. and Schaafsma, W. (1999). A semi-Bayesian method for nonparametric density estimation. Computational Statistics & Data Analysis, 30, 19–30.
  • Carter, P.L. (1972). A Bayesian approach to quality control. Management Science, 18(11), 647–656.
  • Chou, Y., Polansky, A.M. and Mason, R.L. (1998). Transforming non-normal data to normality in statistical process control. Journal of Quality Technology, 30, 133–141.
  • Cryer, J.D. and Ryan, T.P. (1990). The Estimation of Sigma for an Chart: MR¯/d2 or S/c4 ? Journal of Quality Technology, 22, 187–192.
  • D’Agostino, R.B. and Stephens, M.A. (1986). Goodness-of-Fit Techniques, Marcel Dekker Inc., New York.
  • Does, R.J.M.M., Roes, K.C.B. and Trip, A. (1999). Statistical Process Control in Industry, Kluwer Academic, Dordrecht, The Netherlands.
  • Duncan, A.J. (1986). Quality Control and Industrial Statistics, Fifth Edition, Irwin, Homewood, Illinois.
  • Feltz, C.J. and Shiau, J-J. H. (2001). Statistical process monitoring using an empirical bayes multivariate process control chart. Quality and Reliability Engineering International, 17, 119–124.
  • Girard, P. and Parent, E. (2001). Bayesian analysis of autocorrelated ordered categorical data for industrial quality monitoring. Technometrics, 43(2), 180–191.
  • Girshick, M.A. and Rubin, H. (1952). A Bayes approach to a quality control model. The Annals of Mathematical Statistics, 23(1), 114–125.
  • Hamada, M. (2002). Bayesian tolerance interval control limits for attributes. Quality and Reliability Engineering International, 18, 45–52.
  • Johnson, N.L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate Distributions, Volume 1, Second Edition, John Wiley and Sons, New York.
  • Menzefricke, U. (2002). On the evaluation of control chart limits based on predictive distributions. Communications Statistics — Theory and Methods, 31(8), 1423–1440.
  • Montgomery, D.C. (2001). Introduction to Statistical Quality Control. John Wiley and Sons, New York.
  • Perez, J.M. and Palacin, A.F. (1987). Estimating the quantile function by Bernstein polynomials. Computational Statistics & Data Analysis, 5, 391–397.
  • Quesenberry, C.P. (1993). The effect of sample size on estimated limits for X¯ and X control charts. Journal of Quality Technology, 25, 237–247.
  • Quesenberry, C.P. (1997). SPC Methods for Quality Improvement. John Wiley and Sons, New York.
  • Rodriguez, R.N. (1999). Recent issues in statistical process control SAS solutions using statistical modeling procedures. Unpublished manuscript available form authors, SAS Institute.
  • Roes, C.B. (1995). Shewhart-Type Charts in Statistical Process Control, Ph.D. Thesis, University of Amsterdam, The Netherlands.
  • Roes, K.C.B., Does, R.J.M.M. and Schurink, Y. (1993). Shewhart-type control charts for individual observations. Journal of Quality Technology, 25, 188–198.
  • Schilling, EG. and Nelson, P.R. (1976). The effect of non-normality on the control limits of X¯ charts. Journal of Quality Technology, 8(4), 183–188.
  • Shewhart, W.A. (1931). Economic Control of Quality of Manufactured Product, Van Nostrand, Princeton, New York.
  • Shore, H. (2001). Process control for non-normal populations based on an inverse normalizing transformation. In Frontiers in Statistical Quality Control 6, Lenz, H.-J. and Wilrich, P.-Th. (eds.), Springer Verlag, New York, 195–206.
  • Stoumbos, Z.G. and Reynolds, M.R. Jr. (2000). Robustness to non-normality and autocorrelation of individuals control charts. Computational Statistics & Data Analysis, 66, 145–187.
  • Sturm, G.W., Feltz, C.J., and Yousry, M.A. (1991). An empirical Bayes strategy for analysing manufacuring data in real time. Quality and Reliability Engineering International, 7, 159–167.
  • Tagaras, G. and Nikolaidis, Y. (2002). Comparing the effectiveness of various Bayesian X control charts. Operations Research, 50(5), 878–888.
  • Vermaat, M.B., Ion, R.A., Does, R.J.M.M. and Klaassen, C.A.J. (2003). A comparison of Shewhart individuals control charts based on normal, non-parametric, and extreme-value theory. Quality and Reliability Engineering International, 19, 337–353.
  • Wheeler, D.J. (1991) Shewhart’s charts: myths, facts, and competitors. 45th annual quality congress transactions ASQC, 533–538.
  • Wheeler, D.J. (1995). Advanced Topics in Statistical Process Control, SPC Press, Knoxville, Tennessee.
  • Woodall, W.H. and Montgomery, D.C. (1999). Research issues and ideas in statistical process control. Journal of Quality Technology, 31(4), 376–386.
  • Woodward, P.W. and Naylor, J.C. (1993). An application of Bayesian methods in SPC. The Statistician, Vol. 42, 461–469.
  • Yourstone, S.A. and Zimmer, W.J. (1992). Non-normality and the design of control charts for averages. Decision Sciences, 23, 1099–1113.

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