Publication Cover
Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 40, 2008 - Issue 3
26
Views
17
CrossRef citations to date
0
Altmetric
Articles

Estimation of σ for Individuals Charts

&
Pages 332-344 | Published online: 21 Nov 2017

References

  • Borror, C. M.; Montgomery, D. G.; and Runger, G. C. (1999). “Robustness of the EWMA Control Chart to Non-normality”. Journal of Quality Technology 31, pp. 309–316.
  • Boyles, R. A. (1997). “Estimating Common-Cause Sigma in the Presence of Special Causes”. Journal of Quality Technology 29, pp. 381–395.
  • Braun, W. J. (2003). “The LR-Chart: An Alternative to the MR-Chart”. Quality Engineering 16, pp. 89–94.
  • Braun, W. J. and Park, D. (2006). “A Comparison of Smoothing-Based Estimators for σ. Working Paper at www.stats.uwo.ca/faculty/braun/research/smoothcomp.pdf.
  • Brook, D. and Evans, D. A. (1972). “An Approach to the Probability Distribution of CUSUM Run Length”. Biometrika 59, pp. 539–549.
  • Bryce, G. R.; Gaudard, M. A.; and Joiner, B. L. (1997). “Estimating the Standard Deviation for Individuals Control Charts”. Quality Engineering 10, pp. 331–341.
  • Burr, I. W. (1967). “The Effect of Non-normality on Constants for Xˉ and R Charts”. Industrial Quality Control 23, pp. 563–569.
  • Champ, C. W. and Chou, S.-P. (2002). “Comparison of Standard and Individual Limits Phase I Shewhart X, R, and S Charts”. Technical Report 2002-006, Georgia Southern University.
  • Chen, G. (1998). “The Run Length Distributions of the R, s and s2 Control Charts when σ Is Estimated”. Canadian Journal of Statistics 26, pp. 311–322.
  • Cleveland, W. (1979). “Robust Locally Weighted Regression and Smoothing Scatterplots”. Journal of the American Statistical Association 74, pp. 829–836.
  • Crowder, S. V. (1987). “A Simple Method for Studying Run Length Distributions of Exponentially Weighted Moving Average Control Charts”. Technometrics 29, pp. 401–407.
  • Crowder, S. V. (1989). “Design of Exponentially Weighted Moving Average Schemes”. Journal of Quality Technology 21, pp. 155–162.
  • Cruthis, E. N. and Rigdon, S. E. (1992). “Comparing Two Estimates of the Variance to Determine the Stability of a Process”. Quality Engineering 5, pp. 67–74.
  • Cryer, J. D. and Ryan, T. P. (1990). “The Estimation of Sigma for an X Chart”. Journal of Quality Technology 22, pp. 187–192.
  • De Mast, J. and Roes, K. C. B. (2004). “Robust Individuals Control Chart for Exploratory Analysis”. Quality Engineering 16, pp. 407–421.
  • Del Castillo, E. (1996). “Run Length Distributions and Economic Design of Xˉ Charts with Unknown Process Variance”. Metrika 43, pp. 189–201.
  • Ihaka, R. and Gentleman, R. (1996). “R: A Language for Data Analysis and Graphics”. Journal of Computational and Graphical Statistics 5, pp. 299–314.
  • Jensen, W. A.; Jones-Farmer, L. A.; Champ, C. W.; and Woodall, W. H. (2006). “Effects of Parameter Estimation on Control Chart Properties: A Literature Review”. Journal of Quality Technology 38, pp. 349–367.
  • Jones, L. A. (2002). “The Statistical Design of EWMA Control Charts with Estimated Parameters”. Journal of Quality Technology 34, pp. 277–288.
  • Jones, L. A.; Champ, C. W.; and Rigdon, S. E. (2001). “The Performance of Exponentially Weighted Moving Average Charts with Estimated Parameters”. Technometrics 43, pp. 156–167.
  • Loader, C. (1999a). Local Regression and Likelihood. Springer, New York, NY.
  • Loader, C. (1999b). “Bandwidth Selection: Classical or Plug-In?” Annals of Statistics 27, pp. 414–438.
  • Lucas, J. M. and Saccucci, M. S. (1990). “Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements (with discussion)”. Technometrics 32, pp. 1–29.
  • Montgomery, D. G. (2005). Introduction to Statistical Quality Control, 5th Edition. Wiley, New York, NY.
  • Nelson, L. S. (1982). “Control Charts for Individual Measurements”. Journal of Quality Technology 14, pp. 172–173.
  • Quesenberry, C. P. (1993). “The Effect of Sample Size on Estimated Limits for Xˉ and X Control Charts”. Journal of Quality Technology 25, pp. 237–247.
  • 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, pp. 188–198.
  • Sullivan, J. H. and Woodall, W. H. (1996). “A Control Chart for Preliminary Analysis of Individual Observations”. Journal of Quality Technology 28, pp. 265–278.
  • Tatum, L. G. (1997). “Robust Estimation of the Process Standard Deviation for Control Charts”. Journal of the American Statistical Association 39, pp. 127–141.
  • Trip, A. and Wieringa, J. E. (2005). “Individual Charts and Additional Tests for Changes in Spread”. Quality and Reliability Engineering International 19, pp. 337–353.
  • Wand, M. P. and Jones, M. C. (1995). Kernel Smoothing. Chapman and Hall, London.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.