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Original Articles

Addressing the effect of parameter estimation on phase II monitoring of multivariate multiple linear profiles via a new cluster-based approach

, &
Pages 4117-4132 | Received 28 Aug 2018, Accepted 07 Mar 2019, Published online: 28 Mar 2019

References

  • Adibi, A., D. C. Montgomery, and C. M. Borror. 2014. A p-value approach for phase II monitoring of multivariate profiles. International Journal of Quality Engineering and Technology 4 (2):133–43. doi:10.1504/IJQET.2014.060432.
  • Aly, A. A., M. A. Mahmoud, and R. Hamed. 2016. The performance of the multivariate adaptive exponentially weighted moving average control chart with estimated parameters. Quality and Reliability Engineering International 32 (3):957–67. doi:10.1002/qre.1806.
  • 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 (6):1432–40. doi:10.1080/03610918.2013.821484.
  • Amiri, A., W. A. Jensen, and R. B. Kazemzadeh. 2009. A case study on monitoring polynomial profiles in the automotive industry. Quality and Reliability Engineering International 26 (5):509–20. doi:10.1002/qre.1071.
  • Ayoubi, M., R. Kazemzadeh, and R. Noorossana. 2014. Estimating multivariate linear profiles change point with a monotonic change in the mean of response variables. The International Journal of Advanced Manufacturing Technology 75 (9–12):1537–56. doi:10.1007/s00170-014-6208-6.
  • Burroughs, T., S. Rigdon, and C. Champ. 1993. An analysis of Shewhart charts with runs rules when no standards are given. Proceedings of the Quality and Productivity Section of the American Statistical Association, 8–12.
  • Castagliola, P., P. E. Maravelakis, and F. O. Figueiredo. 2016. The EWMA median chart with estimated parameters. IIE Transactions 48 (1):66–74. doi:10.1080/0740817X.2015.1056861.
  • Chakraborti, S. 2000. Run length, average run length and false alarm rate of Shewhart X-bar chart: exact derivations by conditioning. Communications in Statistics-Simulation and Computation 29 (1):61–81. doi:10.1080/03610910008813602.
  • Chen, G. 1997. The mean and standard deviation of the run length distribution of X charts when control limits are estimated. Statistica Sinica 7 (3):789–98.
  • Chen, Y., J. B. Birch, and W. H. Woodall. 2015. Cluster-based profile analysis in phase I. Journal of Quality Technology 47 (1):14–29. doi:10.1080/00224065.2015.11918103.
  • Chen, Y., J. B. Birch, and W. H. Woodall. 2016. Effect of phase I estimation on phase II control chart performance with profile data. Quality and Reliability Engineering International 32 (1):79–87. doi:10.1002/qre.1727.
  • Eyvazian, M., R. Noorossana, A. Saghaei, and A. Amiri. 2011. Phase II monitoring of multivariate multiple linear regression profiles. Quality and Reliability Engineering International 27 (3):281–96. doi:10.1002/qre.1119.
  • Ghashghaei, R., and A. Amiri. 2017. Sum of squares control charts for monitoring of multivariate multiple linear regression profiles in phase II. Quality and Reliability Engineering International 33 (4):767–84. doi:10.1002/qre.2055.
  • Ghashghaei, R., and A. Amiri. 2017. Maximum multivariate exponentially weighted moving average and maximum multivariate cumulative sum control charts for simultaneous monitoring of mean and variability of multivariate multiple linear regression profiles. Scientia Iranica, Transactions E: Industrial Engineering 24 (5):2605–22. doi:10.24200/sci.2017.4385.
  • Ghashghaei, R., A. Amiri, and P. Khosravi. 2018. New control charts for simultaneous monitoring of mean vector and covariance matrix of multivariate multiple linear profiles. Communications in Statistics-Simulation and Computation :1–24. doi:10.1080/03610918.2017.1414246.
  • Hakimi, A., A. Amiri, and R. Kamranrad. 2017. Robust approaches for monitoring logistic regression profiles under outliers. International Journal of Quality & Reliability Management 34 (4):494–507. doi:10.1108/IJQRM-04-2015-0053.
  • 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. doi:10.1080/00224065.2006.11918623.
  • 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.
  • Jones, L. A., C. W. Champ, and S. E. Rigdon. 2004. The run length distribution of the CUSUM with estimated parameters. Journal of Quality Technology 36 (1):95. doi:10.1080/00224065.2004.11980254.
  • Kang, L., and S. L. Albin. 2000. On-line monitoring when the process yields a linear profile. Journal of Quality Technology 32 (4):418–26. doi:10.1080/00224065.2000.11980027.
  • Khoo, M. B. C. 2005. A control chart based on sample median for the detection of a permanent shift in the process mean. Quality Engineering 17 (2):243–57. doi:10.1081/QEN-200057329.
  • Kim, K., M. A. Mahmoud, and W. H. Woodall. 2003. On the monitoring of linear profiles. Journal of Quality Technology 35 (3):317–28. doi:10.1080/00224065.2003.11980225.
  • Lowry, C. A., W. H. Woodall, C. W. Champ, and S. E. Rigdon. 1992. A multivariate exponentially weighted moving average control chart. Technometrics 34 (1):46–53. doi:10.2307/1269551.
  • Mahmoud, M. A. 2008. Phase I analysis of multiple linear regression profiles. Communications in Statistics—Simulation and Computation 37 (10):2106–30. doi:10.1080/03610910802305017.
  • Mahmoud, M. A. 2012. The performance of phase II simple linear profile approaches when parameters are estimated. Communications in Statistics-Simulation and Computation 41 (10):1816–33. doi:10.1080/03610918.2011.621570.
  • Mahmoud, M. A., J. P. Morgan, and W. H. Woodall. 2010. The monitoring of simple linear regression profiles with two observations per sample. Journal of Applied Statistics 37 (8):1249–63. doi:10.1080/02664760903008995.
  • Mahmoud, M. A., and W. H. Woodall. 2004. Phase I analysis of linear profiles with calibration applications. Technometrics 46 (4):380–91. doi:10.1198/004017004000000455.
  • Maleki, M. R., A. Amiri, and P. Castagliola. 2018. An overview on recent profile monitoring papers (2008–2018) based on conceptual classification scheme. Computers & Industrial Engineering 126:705–28. doi:10.1016/j.cie.2018.10.008.
  • Montgomery, D. C. 2005. Introduction to statistical quality control. 5th ed. New York, NY: John Wiley and Sons.
  • Noorossana, R., M. Aminmadani, and A. Saghaei. 2016. Effect of phase I estimation error on the monitoring of simple linear profiles in phase II. The International Journal of Advanced Manufacturing Technology 84 (5–8):873–84.
  • Noorossana, R., M. Eyvazian, A. Amiri, and M. A. Mahmoud. 2010. Statistical monitoring of multivariate multiple linear regression profiles in phase I with calibration application. Quality and Reliability Engineering International 26 (3):291–303. doi:10.1002/qre.1066.
  • Noorossana, R., M. Eyvazian, and A. Vaghefi. 2010. Phase II monitoring of multivariate simple linear profiles. Computers & Industrial Engineering 58 (4):563–70. doi:10.1016/j.cie.2009.12.003.
  • Noorossana, R., A. Saghaei, and A. Amiri. 2011. Statistical analysis of profile monitoring. (Vol. 865). Hoboken, NJ: John Wiley & Sons.
  • Rencher, A. C. 2003. Methods of multivariate analysis. (Vol. 492). Hoboken, NJ: John Wiley & Sons.
  • 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.
  • Sullivan, J. H., and W. H. Woodall. 1996. A comparison of multivariate control charts for individual observations. Journal of Quality Technology 28 (4):398–408. doi:10.1080/00224065.1996.11979698.
  • Wang, K., and F. Tsung. 2005. Using profile monitoring techniques for a data‐rich environment with huge sample size. Quality and Reliability Engineering International 21 (7):677–88. doi:10.1002/qre.711.
  • Woodall, W. H. 2007. Current research on profile monitoring. Production 17 (3):420–5. doi:10.1590/S0103-65132007000300002.
  • 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 (1):78. doi:10.1080/00224065.2014.11917955.
  • Woodall, W. H., D. J. Spitzner, D. C. Montgomery, and S. Gupta. 2004. Using control charts to monitor process and product quality profiles. Journal of Quality Technology 36 (3):309–20. doi:10.1080/00224065.2004.11980276.
  • Zhang, J., Z. Li, and Z. Wang. 2009. Control chart based on likelihood ratio for monitoring linear profiles. Computational Statistics & Data Analysis 53 (4):1440–8. doi:10.1016/j.csda.2008.12.002.
  • Zou, C., X. Ning, and F. Tsung. 2012. LASSO-based multivariate linear profile monitoring. Annals of Operations Research 192 (1):3–19. doi:10.1007/s10479-010-0797-8.
  • Zwetsloot, I. M., and W. 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.

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