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Articles

A re-evaluation of the run rules xbar chart when the process parameters are unknown

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Pages 696-725 | Accepted 15 Aug 2018, Published online: 02 Oct 2018

References

  • Aly, A. A., Mahmoud, M. A., & Hamed, R. (2016). The performance of the multivariate adaptive exponentially weighted moving average control chart with estimated parameters. Quality and Reliability Engineering International, 32, 957–967.
  • Aly, A. A., Saleh, N. A., Mahmoud, M. A., & Woodall, W. H. (2015). A re-evaluation of the adaptive exponentially weighted moving average control chart when parameters are estimated. Quality and Reliability Engineering International, 31, 1611–1622.
  • Bissell, A. F. (1978). An attempt to unify the theory of quality control procedures. Bulletin in Applied Statistics, 5(2), 113–128.
  • Borror, C. M., Montgomery, D. C., & Runger, G. C. (1999). Robustness of the EWMA control chart to non-normality. Journal of Quality Technology, 31(3), 309–316.
  • Castagliola, P., Achoui, A., Taleb, H., Celano, G., & Psarakis, S. (2013a). Monitoring the coefficient of variation using control charts with run rules. Quality Technology & Quantitative Management, 10(1), 75–94.
  • Castagliola, P., Celano, G., & Chen, G. (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(1), 23–38.
  • Castagliola, P., Celano, G., & Fichera, S. (2013b). Comparison of the X̄ chart and the t chart when the parameters are estimated parameters. Quality Technology & Quantitative Management, 10(1), 1–16.
  • Castagliola, P., Maravelakis, P. E., & Figueiredo, F. O. (2016). The EWMA median chart with estimated parameters. IIE Transactions, 48(1), 66–74.
  • Champ, C. W., & Woodall, W. H. (1987). Exact results for shewhart control charts with supplementary run rules. Technometrics, 29(4), 393–399.
  • Chen, J. Q., Yang, H. L., & Yao, J. F. (2017). On the T2 control chart with estimated parameters. Quality Technology & Quantitative Management, Forthcoming. doi: 10.1080/16843703.2017.1335491
  • Chen, Y., Sun, L. R., & Guo, B. C. (2018). Phase II synthetic exponential charts and effect of parameter estimation. Quality Technology & Quantitative Management, 15(1), 125–142.
  • Duclos, E., Pillet, M., & Avrillon, L. (2005). The L-chart for non-normal processes. Quality Technology & Quantitative Management, 2(1), 77–90.
  • Epprecht, E. K., Loureiro, L. D., & Chakraborti, S. (2015). Effect of the amount of phase I data on the phase II performance of S2 and S contorl chart. Journal of Quality Technology, 47(2), 139–155.
  • Faraz, A., Celano, G., Saniga, E., Heuchenne, C., & Fichera, S. (2014). The variable parameters T2 chart with run rules. Statistical Papers, 55(4), 933–950.
  • Faraz, A., Woodall, W. H., & Heuchenne, C. (2015). Guaranteed conditional performance of the S2 control chart with estimated parameters. International Journal of Production Research, 53(14), 4405–4413.
  • Flury, M. L., & Quaglino, M. B. (2018). Multivariate EWMA control chart with highly asymmetric gamma distributions. Quality Technology & Quantitative Management, 15(2), 230–252.
  • Frisén, M. (2008). Financial surveillance. Chichester: Wiley.
  • Gandy, A., & Kvaløy, J. T. (2013). Guaranteed conditional performance of control charts via bootstrap methods. Scandinavian Journal of Statistics, 4, 647–668.
  • Hu, X. L., & Castagliola, P. (2017). Guaranteed conditional design of the median chart with estimated process parameters. Quality and Reliability Engineering International, Forthcoming. doi: 10.1002/qre.2152
  • Huberts, L. C. E., Schoonhoven, M., Goedhart, R., Diko, M. D., & Does, R. J. M. M. (2018). The performance of X̄ control charts for large non-normally distributed datasets. Quality and Reliability Engineering International, Forthcoming. doi: 10.1002/qre.2287
  • Jensen, W., Jones, L. F., Champ, C., & Woodall, W. (2006). Effects of parameter estimation on control chart properties: A literature review. Journal of Quality Technology, 38(4), 349–364.
  • Jones, L. (2002). The statistical design of EWMA control charts with estimated parameters. Journal of Quality Technology, 34, 277–288.
  • Jones, L., Champ, C., & Rigdon, S. (2001). The performance of exponentially weighted moving average charts with estimated parameters. Technometrics, 43, 156–157.
  • Jones, M. A., & Steiner, S. H. (2012). Assessing the effect of estimation error on the risk-adjusted CUSUM chart performance. International Journal for Quality in Health Care, 24(2), 176–181.
  • Keefe, M. J., Woodall, W. H., & Jones-Farmer, L. A. (2015). The conditional in-control performance of self-starting control charts. Quality Engineering, 27, 488–499.
  • Kritzinger, P., Human, S. W., & Chakraborti, S. (2014). Improved Shewhart-type runs-rules nonparametric sign charts. Communications in Statistics–Theory and Methods, 43(22), 4723–4748.
  • Latouche, G., & Ramaswami, V. (1999). Introduction to matrix analytic methods in stochastic modelling. Philadelphia, USA: ASA-SIAM.
  • Lim, S. L., Khoo, M. B. C., Teoh, W. L., & Xie, M. (2015). Optimal designs of the variable sample size and sampling interval X̄ chart when process parameters are estimated. International Journal of Production Economics, 166, 20–35.
  • Maravelakis, P. E., Castagliola, P., & Khoo, M. B. C. (2017). Run length properties of run rules EWMA chart using integral equations. Quality Technology & Quantitative Management, Forthcoming. doi: 10.1080/16843703.2017.1372853
  • Nedumaranand, G., & Pignatiello, J. J. (2001). On estimating X̄ control chart limits. Journal of Quality Technology, 33(2), 206–212.
  • Nelson, L. (1984). The Shewhart control chart–tests for special causes. Journal of Quality Technology, 16(4), 237–239.
  • Neuts, M. (1981). Matrix-geometric solutions in stochastic models: An algorithmic approach. New York, NY: Dover Publications Inc.
  • Noorossana, R., Fathizadana, S., & Nayebpourc, M. R. (2016). EWMA control chart performance with estimated parameters under non-normality. Quality and Reliability Engineering International, 32, 1637–1654.
  • Page, E. S. (1955). Control charts with warning lines. Biometrics, 42(1–2), 243–257.
  • Palm, A. (1990). Tables of run length percentiles for determining the sensitivity of Shewhart control charts for averages with supplementary runs rules. Journal of Quality Technology, 22(4), 289–298.
  • Psarakis, S., Vyniou, A., & Castagliola, P. (2014). Some recent developments on the effects of parameter estimation on control charts. Quality and Reliability Engineering International, 30(8), 1113–1129.
  • Rakitzis, A. C. (2016). Monitoring exponential data using two-sided control charts with runs rules. Journal of Statistical Computation and Simulation, 86(1), 149–159.
  • Saleh, N. A., Mahmoud, M. A., Jones-Farmer, L. A., Zwetsloot, I., & Woodall, W. H. (2015b). Another look at the EWMA control charts with estimated parameters. Journal of Qualtiy Technology, 47(4), 363–382.
  • Saleh, N. A., Mahmoud, M. A., Keefe, M. J., & Woodall, W. H. (2015a). The diffculty in designing Shewhart X̄ and X conrol charts with estimated parameters. Journal of Qualtiy Technology, 47(2), 127–138.
  • Shepherd, D. K., Rigdon, S. E., & Champ, C. W. (2012). Using runs rules to monitor an attribute chart for a markov process. Quality Technology & Quantitative Management, 9(4), 383–406.
  • Shiau, J. H., & Chen, H. Y. (2005). Robustness of the EWMA control chart to non-normality for autocorrelated processes. Quality Technology & Quantitative Management, 2(2), 125–146.
  • Tran, K. P., Castagliola, P., & Celano, G. (2016). Monitoring the ratio of two normal variables using run rules type control charts. International Journal of Production Research, 54(6), 1670–1688.
  • Weese, M., Martinez, W., Megahed, F. M., & Jones-Farmer, L. A. (2016). Statistical learning methods applied to process monitoring: An overview and perspective. Journal of Quality Technology, 48(1), 4–24.
  • Western-Electric. (1956). Statistical quality control handbook. Indianapolis: Western Electric Co.
  • Wheeler, J. (1983). Detecting a Shift in Process Average: Tables of the Power Function for X̄ Charts. Journal of Quality Technology, 15, 155–170.
  • Woodall, W. H. (2006). The use of control charts in health-care and public-health surveillance. Journal of Quality Technology, 38, 89–134.
  • Wu, S., Castagliola, P., & Khoo, M. B. C. (2016). Run rules based phase II c and np charts when process parameters are unknown. Communications in Statistics–Theory and Methods, 45(4), 1182–1197.
  • Xie, M., Goh, T., & Ranjan, P. (2002). Some effectice control chart procedures for reliability monitoring. Reliability Engineering & System Safety, 77, 143–150.
  • Zhang, Y., & Castagliola, P. (2010). Run rules X̄ charts when process parameters are unknown. International Journal of Reliability, Quality and Safety Engineering, 17(4), 381–399.
  • Zhang, Y., Castagliola, P., Wu, Z., & Khoo, M. B. C. (2011). The synthetic X̄ charts with estimated parameters. IIE Transactions, 43, 676–687.

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