264
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

Some simplified Shewhart-type distribution-free joint monitoring schemes and its application in monitoring drinking water turbidity

ORCID Icon, ORCID Icon &

References

  • Arboretti, R., R. Ceccato, L. Corain, F. Ronchi, and L. Salmaso. 2018. Multivariate small sample tests for two-way designs with applications to industrial statistics. Statistical Papers 59 (4): 1483–503. doi: 10.1007/s00362-018-1032-y.
  • Balakrishnan, N., C. Paroissin, and J. C. Turlot. 2015. One-sided control charts based on precedence and weighted precedence statistics. Quality and Reliability Engineering International 31 (1): 113–34. doi: 10.1002/qre.1750.
  • Capizzi, G., and G. Masarotto. 2013. Phase I distribution-free analysis of univariate data. Journal of Quality Technology 45 (3): 273–84. doi: 10.1080/00224065.2013.11917938.
  • Chatterjee, S., and P. Qiu. 2009. Distribution-free cumulative sum control charts using bootstrap-based control limits. The Annals of Applied Statistics 3 (1): 349–69. doi: 10.1214/08-AOAS197.
  • Celano, G., P. Castagliola, and S. Chakraborti. 2016. Joint Shewhart control charts for location and scale monitoring in finite horizon processes. Computers & Industrial Engineering 101: 427–39. doi: 10.1016/j.cie.2016.09.027.
  • Chen, H. C., A. B. Yeh, C. L. Yen, and L. A. Chen. 2012. The density control chart: A general approach for constructing a single chart for simultaneously monitoring multiple parameters. International Journal of Production Research 50 (14): 3904–19. doi: 10.1080/00207543.2011.604050.
  • Cheng, S. W., and K. Thaga. 2006. Single variables control charts: An overview. Quality and Reliability Engineering International 22 (7): 811–20. doi: 10.1002/qre.730.
  • Chong, Z. L., A. Mukherjee, and M. B. C. Khoo. 2017. Distribution-free Shewhart-Lepage type premier control schemes for simultaneous monitoring of location and scale. Computers & Industrial Engineering 104: 201–15. doi: 10.1016/j.cie.2016.12.004.
  • Chong, Z. L., A. Mukherjee, and M. B. C. Khoo. 2018. Some distribution-free Lepage-type schemes for simultaneous monitoring of one-sided shifts in location and scale. Computers & Industrial Engineering 115: 653–69. doi: 10.1016/j.cie.2017.11.029.
  • Chowdhury, S., A. Mukherjee, and S. Chakraborti. 2014. A new distribution-free control chart for joint monitoring of unknown location and scale parameters of continuous distributions. Quality and Reliability Engineering International 30 (2): 191–204. doi: 10.1002/qre.1488.
  • Chowdhury, S., A. Mukherjee, and S. Chakraborti. 2015. Distribution-free phase II CUSUM control chart for joint monitoring of location and scale. Quality and Reliability Engineering International 31 (1): 135–51. doi: 10.1002/qre.1677.
  • Corain, L., and L. Salmaso. 2013. Nonparametric permutation and combination‐based multivariate control charts with applications in microelectronics. Applied Stochastic Models in Business and Industry 29 (4): 334–49. doi: 10.1002/asmb.1976.
  • Corain, L., and L. Salmaso. 2015. Improving power of multivariate combination-based permutation tests. Statistics and Computing 25 (2): 203–14. doi: 10.1007/s11222-013-9426-0.
  • Gan, F. F. 1995. Joint monitoring of process mean and variance using exponentially weighted moving average control charts. Technometrics 37 (4): 446–53. doi: 10.1080/00401706.1995.10484377.
  • Ghashghaei, R., M. Bashiri, A. Amiri, and M. R. Maleki. 2016. Effect of measurement error on joint monitoring of process mean and variability under ranked set sampling. Quality and Reliability Engineering International 32 (8): 3035–50. doi: 10.1002/qre.1988.
  • Giancristofaro, R. A., S. Bonnini, L. Corain, and L. Salmaso. 2016. Dependency and truncated forms of combinations in multivariate combination-based permutation tests and ordered categorical variables. Journal of Statistical Computation and Simulation 86 (18): 3608–19. doi: 10.1080/00949655.2016.1177826.
  • Graham, M. A., A. Mukherjee, and S. Chakraborti. 2017. Design and implementation issues for a class of distribution-free phase II EWMA exceedance control charts. International Journal of Production Research 55 (8): 2397–430. doi: 10.1080/00207543.2016.1249428.
  • Graham, M. A., S. Chakraborti, and A. Mukherjee. 2014. Design and implementation of CUSUM exceedance control charts for unknown location. International Journal of Production Research 52 (18): 5546–64. doi: 10.1080/00207543.2014.917214.
  • Haq, A., J. Brown, and E. Moltchanova. 2015. An improved maximum exponentially weighted moving average control chart for monitoring process mean and variability. Quality and Reliability Engineering International 31 (2): 265–90. doi: 10.1002/qre.1586.
  • Haridy, S., Y. Ou, Z. Wu, and M. B. C. Khoo. 2016. A single X chart outperforming the joint X & R and X & S charts for monitoring mean and variance. Quality Technology & Quantitative Management 13 (3): 289–308. doi: 10.1080/16843703.2016.1189181.
  • Haridy, S., Z. Wu, K. M. Lee, and M. A. Rahim. 2014. An attribute chart for monitoring the process mean and variance. International Journal of Production Research 52 (11): 3366–80. doi: 10.1080/00207543.2013.875234.
  • Huang, S., J. Yang, and A. Mukherjee. 2018. Distribution-free EWMA schemes for simultaneous monitoring of time between events and event magnitude. Computers & Industrial Engineering 126: 317–36. doi: 10.1016/j.cie.2018.09.047.
  • Huwang, L., C. J. Huang, and Y. H. T. Wang. 2010. New EWMA control charts for monitoring process dispersion. Computational Statistics & Data Analysis 54 (10): 2328–42. doi: 10.1016/j.csda.2010.03.011.
  • Joner, M. D., W. H. Woodall, M. R. Reynolds, and R. D. Fricker. 2008. A one-sided MEWMA chart for health surveillance. Quality and Reliability Engineering International 24 (5): 503–18. doi: 10.1002/qre.910.
  • 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.
  • Lepage, Y. 1971. A combination of Wilcoxon’s and Ansari-Bradley’s statistics. Biometrika 58 (1): 213–7. doi: 10.1093/biomet/58.1.213.
  • Li, C., A. Mukherjee, Q. Su, and M. Xie. 2016a. Robust algorithms for economic designing of a nonparametric control chart for abrupt shift in location. Journal of Statistical Computation and Simulation 86 (2): 306–23. doi: 10.1080/00949655.2015.1007985.
  • Li, C., A. Mukherjee, Q. Su, and M. Xie. 2016b. Design and implementation of two CUSUM schemes for simultaneously monitoring the process mean and variance with unknown parameters. Quality and Reliability Engineering International 32 (8): 2961–75. doi: 10.1002/qre.1980.
  • Li, Y., and F. Tsung. 2009. False discovery rate-adjusted charting schemes for multistage process monitoring and fault identification. Technometrics 51 (2): 186–205. doi: 10.1198/TECH.2009.0019.
  • Li, Z., and P. Qiu. 2014. Statistical process control using a dynamic sampling scheme. Technometrics 56 (3): 325–35. doi: 10.1080/00401706.2013.844731.
  • Li, Z., P. Qiu, S. Chatterjee, and Z. Wang. 2013. Using p values to design statistical process control charts. Statistical Papers 54 (2): 523–39. doi: 10.1007/s00362-012-0447-0.
  • Mahmood, T., H. Z. Nazir, N. Abbas, M. Riaz, and A. Ali. 2017. Performance evaluation of joint monitoring control charts. Scientia Iranica 24 (4): 2152–63. doi: 10.1007/s00362-012-0447-0.
  • Mann, A. G., C. C. Tam, C. D. Higgins, and L. C. Rodrigues. 2007. The association between drinking water turbidity and gastrointestinal illness: A systematic review. BMC Public Health 7 (256): 1–7. doi: 10.1186/1471-2458-7-256.
  • McCracken, A. K., S. Chakraborti, and A. Mukherjee. 2013. Control charts for simultaneous monitoring of unknown mean and variance of normally distributed processes. Journal of Quality Technology 45 (4): 360–76. doi: 10.1080/00224065.2013.11917944.
  • McCracken, A. K., and S. Chakraborti. 2013. Control charts for joint monitoring of mean and variance: An overview. Quality Technology & Quantitative Management 10 (1): 17–36. doi: 10.1080/16843703.2013.11673306.
  • Mukherjee, A. 2017. Distribution-free phase-II exponentially weighted moving average schemes for joint monitoring of location and scale based on subgroup samples. The International Journal of Advanced Manufacturing Technology 92 (1–4): 101–16. doi: 10.1007/s00170-016-9977-2.
  • Mukherjee, A., and S. Chakraborti. 2012. A distribution-free control chart for the joint monitoring of location and scale. Quality and Reliability Engineering International 28 (3): 335–52. doi: 10.1002/qre.1249.
  • Mukherjee, A., and R. Sen. 2018. Optimal design of Shewhart-Lepage type schemes and its application in monitoring service quality. European Journal of Operational Research 266 (1): 147–67. doi: 10.1016/j.ejor.2017.09.013.
  • Mukherjee, A., and M. Marozzi. 2017a. Distribution-free Lepage type circular-grid charts for joint monitoring of location and scale parameters of a process. Quality and Reliability Engineering International 33 (2): 241–74. doi: 10.1002/qre.2002.
  • Mukherjee, A., and M. Marozzi. 2017b. A distribution-free phase-II CUSUM procedure for monitoring service quality. Total Quality Management & Business Excellence 28 (11–12): 1227–63. doi: 10.1080/14783363.2015.1134266.
  • Mukherjee, A., and R. Sen. 2015. Comparisons of Shewhart-type rank based control charts for monitoring location parameters of univariate processes. International Journal of Production Research 53 (14): 4414–45. doi: 10.1080/00207543.2015.1012605.
  • Mukherjee, A., Y. Cheng, and M. Gong. 2018. A new nonparametric scheme for simultaneous monitoring of bivariate processes and its application in monitoring service quality. Quality Technology & Quantitative Management 15 (1): 143–56. doi: 10.1080/16843703.2017.1312808.
  • Oprime, P. C., J. C. D. Toledo, M. O. A. González, and S. Chakraborti. 2016. Method for determining the control limits of nonparametric charts for monitoring location and scale. Gestão & Produção 23 (1): 146–64. doi: 10.1590/0104-530X1445-14.
  • Park, H. I. 2015. Nonparametric simultaneous test procedures. Revista Colombiana de Estadística 38 (1): 107–21. doi: 10.15446/rce.v38n1.48805.
  • Song, Z., A. Mukherjee, Y. Liu, and J. Zhang. 2019. Optimizing joint location-scale monitoring – An adaptive distribution-free approach with minimal loss of information. European Journal of Operational Research 274 (3): 1019–36. doi: 10.1016/j.ejor.2018.11.060.
  • Qiu, P. 2014. Introduction to statistical process control. Boca Raton, FL: Chapman & Hall/CRC. CRC Press.
  • Qiu, P. 2008. Distribution-free multivariate process control based on log-linear modeling. IIE Transactions 40 (7): 664–77. doi: 10.1080/07408170701744843.
  • Qiu, P. 2018. Some perspectives on nonparametric statistical process control. Journal of Quality Technology 50 (1): 49–65. doi: 10.1080/00224065.2018.1404315.
  • Qiu, P., and D. Hawkins. 2001. A rank-based multivariate CUSUM procedure. Technometrics 43 (2): 120–32. doi: 10.1198/004017001750386242.
  • Qiu, P., and Z. Li. 2011a. On nonparametric statistical process control of univariate processes. Technometrics 53 (4): 390–405. doi: 10.1198/TECH.2011.10005.
  • Qiu, P., and Z. Li. 2011b. Distribution-free monitoring of univariate processes. Statistics and Probability Letters 81 (12): 1833–40. doi: 10.1016/j.spl.2011.07.004.
  • R Core Team. 2018. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna. https://www.R-project.org.
  • Rahim, M. A., and A. F. B. Costa. 2000. Joint economic design of X and R charts under Weibull shock models. International Journal of Production Research 38 (13): 2871–89. doi: 10.1080/00207540050117341.
  • Rakitzis, A. C., and D. L. Antzoulakos. 2011. On the improvement of one-sided S control charts. Journal of Applied Statistics 38 (12): 2839–58. doi: 10.1080/02664763.2011.570320.
  • Reynolds Jr, M. R., and Z. G. Stoumbos. 2001. Monitoring the process mean and variance using individual observations and variable sampling intervals. Journal of Quality Technology 33(2): 181–205. doi: 10.1080/00224065.2001.11980066.
  • Reynolds Jr, M. R., and Z. G. Stoumbos. 2006. Comparisons of some exponentially weighted moving average control charts for monitoring the process mean and variance. Technometrics 48(4): 550–67. doi: 10.1198/004017006000000255.
  • Winkler, A. M., M. A. Webster, J. C. Brooks, I. Tracey, S. M. Smith, and T. E. Nichols. 2016. Non-parametric combination and related permutation tests for neuroimaging. Human Brain Mapping 37 (4): 1486–511. doi: 10.1002/hbm.23115.
  • WHO. 2011. Guidelines for drinking water quality, 4th ed. Geneva: World Health Organization.
  • Zaman, B., M. Riaz, and M. H. Lee. 2017. On the performance of control charts for simultaneous monitoring of location and dispersion parameters. Quality and Reliability Engineering International 33 (1): 37–56. doi: 10.1002/qre.1989.
  • Zhang, J., E. Li, and Z. Li. 2017. A Cramér-Von Mises test-based distribution-free control chart for joint monitoring of location and scale. Computers & Industrial Engineering 110: 484–97. doi: 10.1016/j.cie.2017.06.027.
  • Zhang, M., G. Nie, Z. He, and X. Hou. 2014. The Poisson INAR (1) one-sided EWMA chart with estimated parameters. International Journal of Production Research 52 (18): 5415–31. doi: 10.1080/00207543.2014.907517.
  • Zhou, M., Q. Zhou, and W. Geng. 2016. A new nonparametric control chart for monitoring variability. Quality and Reliability Engineering International 32 (7): 2471–9. doi: 10.1002/qre.1949.
  • Zhou, Q., L. Shu, and W. Jiang. 2016. One-sided EWMA control charts for monitoring poisson processes with varying sample sizes. Communications in Statistics–Theory and Methods 45 (20): 6112–32. doi: 10.1080/03610926.2014.957853.
  • Zou, C., and F. Tsung. 2010. Likelihood ratio-based distribution-free EWMA control charts. Journal of Quality Technology 42 (2): 174–96. doi: 10.1080/00224065.2010.11917815.

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.