First to signal criterion for comparing control chart performance

References

• Champ, C. W., L. A. Jones-Farmer, and S. E. Rigdon. 2005. Properties of the T2 control chart when parameters are estimated. Technometrics 47 (4):437–45. doi:10.1198/004017005000000229.
   Web of Science ®Google Scholar
• Does, R. J., R. Goedhart, and W. H. Woodall. 2020. On the design of control charts with guaranteed conditional performance under estimated parameters. Quality and Reliability Engineering International 36 (8):2610–20. doi:10.1002/qre.2658.
   Google Scholar
• Hawkins, D. M., and Q. Wu. 2014. The CUSUM and the EWMA head-to-head. Quality Engineering 26 (2):215–22. doi:10.1080/08982112.2013.817014.
   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 (4):349–64. doi:10.1080/00224065.2006.11918623.
   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 (2):156–67. doi:10.1198/004017001750386279.
   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 (3):265–80. doi:10.1080/00224065.2014.11917969.
   Web of Science ®Google Scholar
• Keating, J. P., R. L. Mason, and P. K. Sen. 1993. Pitman’s measure of closeness: A comparison of statistical estimators. Philadelphia, PA: SIAM.
   Google Scholar
• Mohammed, M. A., P. Worthington, and W. H. Woodall. 2008. Plotting basic control charts: Tutorial notes for healthcare practitioners. Quality & Safety in Health Care 17 (2):137–45. doi:10.1136/qshc.2004.012047.
   PubMedGoogle Scholar
• Montgomery, D. C. 2020. Introduction to statistical quality control. 8th ed. Hoboken, NJ: John Wiley & Sons.
   Google Scholar
• Pitman, E. J. 1937. The “closest” estimates of statistical parameters. Mathematical Proceedings of the Cambridge Philosophical Society 33 (2):212–22. doi:10.1017/S0305004100019563.
   Google Scholar
• Rigdon, S. E., and W. H. Woodall. 2017. Using the predictive distribution to determine control limits for the Bayesian MEWMA chart. Communications in Statistics - Simulation and Computation 46 (10):7818–26. doi:10.1080/03610918.2016.1252398.
   Web of Science ®Google Scholar
• Saleh, N. A., and M. A. Mahmoud. 2017. Accounting for phase I sampling variability in the performance of the MEWMA control chart with estimated parameters. Communications in Statistics - Simulation and Computation 46 (6):4333–47. doi:10.1080/03610918.2015.1116570.
   Web of Science ®Google Scholar
• Saleh, N. A., M. A. Mahmoud, L. A. Jones-Farmer, I. Zwetsloot, and W. H. Woodall. 2015. Another look at the EWMA control chart with estimated parameters. Journal of Quality Technology 47 (4):363–82. doi:10.1080/00224065.2015.11918140.
   Web of Science ®Google Scholar
• Shepherd, D. K., L. A. Jones-Farmer, S. E. Rigdon, and K. M. Bodden. 2018. To shrink or not to shrink: Hotelling’s T2 chart based on shrunken covariance estimates. Quality and Reliability Engineering International 34 (6):1211–27. doi:10.1002/qre.2319.
   Web of Science ®Google Scholar
• Shepherd, D. K., and S. E. Rigdon. 2022. Are principal components with estimated parameters feasible in multivariate process control? Quality and Reliability Engineering International 38 (8):4141–56. doi:10.1002/qre.3193.
   Web of Science ®Google Scholar
• Woodall, W. H., and F. W. Faltin. 2019. Rethinking control chart design and evaluation. Quality Engineering 31 (4):596–605. doi:10.1080/08982112.2019.1582779.
   Web of Science ®Google Scholar
• Zwetsloot, I. M., andW. H. Woodall. 2017. A head-to-head comparative study of the conditional performance of control charts based on estimated parameters. Quality Engineering 29 (2):244–53. doi:10.1080/08982112.2016.1237651.
   Web of Science ®Google Scholar