Guaranteed conditional performance of the S² control chart with estimated parameters

References

• Aly, A. A., M. A. Mahmoud, and W. H. Woodall. 2015. “A Comparison of the Performance of Phase II Simple Linear Profile Control Charts When Parameters are Estimated.” Communications in Statistics – Simulation and Computation 44 (4): 1432–1440.
   Web of Science ®Google Scholar
• Aly, A. A., N. A. Saleh, M. A. Mahmoud, and W. H. Woodall. 2015. “A Re-evaluation of the Adaptive Exponentially Weighted Moving Average Control Chart When Parameters are Estimated.” Quality and Reliability Engineering International. doi:10.1002/qre.1695.
   Web of Science ®Google Scholar
• Bischak, D. P., and D. Trietsch. 2007. “The Rate of False Signals in Control Charts with Estimated Limits.” Journal of Quality Technology 39: 54–65.
   Web of Science ®Google Scholar
• Castagliola, P., G. Celano, and G. Chen. 2009. “The Exact Run Length Distribution and Design of the S2 Chart When the In-control Variance is Estimated.” International Journal of Reliability, Quality and Safety Engineering 16: 23–38.
   Google Scholar
• Castagliola, P., Y. Zhang, A. Costa, and P. Maravelakis. 2012. “The Variable Sample Size Chart with Estimated Parameters.” Quality and Reliability Engineering International 28: 687–699.
   Web of Science ®Google Scholar
• Chen, G. 1997. “The Mean and Standard Deviation of the Run Length Distribution of Charts When Control Limits are Estimated.” Statistica Sinica 7: 789–798.
   Web of Science ®Google Scholar
• Chen, G. 1998. “The Run Length Distributions of the R, S and S2 Control Charts When σ is Estimated.” Canadian Journal of Statistics 26: 311–322.
   Web of Science ®Google Scholar
• Epprecht, E. K., L. D. Loureiro, and S. Chakraborti. 2015. “Effect of the Number and Size of the Phase I Sample on the Phase II Performance of S2 and S Control Charts.” Journal of Quality Technology. (to appear).
   Web of Science ®Google Scholar
• Gandy, A., and J. T. Kvaløy. 2013. “Guaranteed Conditional Performance of Control Charts via Bootstrap Methods.” Scandinavian Journal of Statistics 40: 647–668.
   Web of Science ®Google Scholar
• Jensen, W. A., L. A. Jones-Farmer, C. W. Champ, and W. H. Woodall. 2006. “Effects of Parameter Estimation on Control Chart Properties: A Literature Review.” Journal of Quality Technology 38: 349–364.
   Web of Science ®Google Scholar
• Jones, M. A., and S. H. Steiner. 2012. “Assessing the Effect of Estimation Error on Risk-adjusted CUSUM Chart Performance.” International Journal for Quality in Health Care 24: 176–181.
   PubMed Web of Science ®Google Scholar
• Jones, L. A., C. W. Champ, and S. E. Rigdon. 2001. “The Performance of Exponentially Weighted Moving Average Charts with Estimated Parameters.” Technometrics 43: 156–167.
   Web of Science ®Google Scholar
• Jones-Farmer, L. A., W. H. Woodall, S. H. Steiner, and C. W. Champ. 2014. “An Overview of Phase I Analysis for Process Improvement and Monitoring.” Journal of Quality Technology 46: 265–280.
   Web of Science ®Google Scholar
• Lee, J., N. Wang, L. Xu, A. Schuh, and W. H. Woodall. 2013. “The Effect of Parameter Estimation on Upper-sided Bernoulli Cumulative Sum Charts.” Quality and Reliability Engineering International 29: 639–651.
   Web of Science ®Google Scholar
• Montgomery, D. C. 2013. Introduction to Statistical Quality Control. 7th ed. Hoboken, NJ: John Wiley & Sons.
   Google Scholar
• Psarakis, S., A. K. Vyniou, and P. Castagliola. 2014. “Some Recent Developments on the Effects of Parameter Estimation on Control Charts.” Quality and Reliability Engineering International 30 (8): 1113–1129.
   Web of Science ®Google Scholar
• Saleh, N. A., M. A. Mahmoud, M. J. Keefe and W. H. Woodall. 2014. “The Difficulty in Designing Shewhart X and Control Charts with Estimated Parameters.” Journal of Quality Technology. (to appear).
   Web of Science ®Google Scholar
• Saleh, N. A., M. A. Mahmoud, L. A. Zwetsloot Jones-Farmer, I. and W. H.Woodall. 2015. “Another Look at EWMA Control Charts with Estimated Parameters.” Journal of Quality Technology. (to appear).
   Google Scholar
• Testik, M. C. 2007. “Conditional and Marginal Performance of the Poisson CUSUM Control Chart with Parameter Estimation.” International Journal of Production Research 45: 5621–5638.
   Web of Science ®Google Scholar
• Woodall, W. H., and D. C. Montgomery. 2014. “Some Current Directions in the Theory and Application of Statistical Process Monitoring.” Journal of Quality Technology 46: 78–94.
   Web of Science ®Google Scholar
• Zhang, M., Y. Peng, A. Schuh, F. M. Megahed, and W. H. Woodall. 2013. “Geometric Charts with Estimated Control Limits.” Quality and Reliability Engineering International 29: 209–223.
   Web of Science ®Google Scholar
• Zhang, M., F. M. Megahed, and W. H. Woodall. 2014. “Exponential CUSUM Charts with Estimated Control Limits.” Quality and Reliability Engineering International 30: 275–286.
   Web of Science ®Google Scholar