Sensitive Non-Parametric Control Charts For Monitoring Process Variation
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AUTHOR(S)
Kanita Petcharat
KEYWORDS
EWMA, CUSUM, Non-parametric, Mood, Sukhatme, Control Chart, Average Run Length
ABSTRACT
Non-parametric or distribution-free control charts are useful in statistical process control when there is limited or a lack of knowledge about essential process distribution. In this article, nonparametric control charts were considered based on Mood and Sukhatme statistics. Two non-parametric statistics were applied on Exponentially-Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) charts for monitoring process variation. Simulations showed that the EWMA control chart based on Mood statistics was more sensitive for detection of small shifts in process variation, but moderate and large shifts in CUSUM based on Mood statistics were more sensitive than other charts.
REFERENCES
[1] Montogomery, D.C., Introduction to Statistical Quality Control, 5th ed., John Wiley & Sons, New York, 2005.
[2] Petcharat, K., “An analytical solution of ARL of EWMA procedure for SAR (P)L process with exponential white noise”, Far East Journal. Mathematic Science, vol. 98, pp. 831-843, Dec. 2015.
[3] Bakir, S. T., “Classification of distribution-free quality control charts”, InProc. the annual meeting of the American statistical association. Aug. pp.5-9, 2001.
[4] Petros, M. E. et al. “An examination of the robustness to non-normality of the EWMA control charts for the dispersion”, Comm. In Statistic-Simulation and Computation, vol. 34, pp. 1069-1079, 2005.
[5] Das, N., “A comparison study of three non-parametric control charts to detect shift in location parameters", Int. Journal Advance Manufacturing Technology., vol. 41, pp. 799-807, April. 2009.
[6] Hidetoshi, M. and Takashi, M., “A nonparametric control charts based on the Mood statistic for dispersion,” Int. J. Manufacturing Technology, vol. 49, pp.757-763, July. 2010.
[7] Zombad, D. M. e and Ghute, V.B., “Nonparametric CUSUM charts for process variability,” J. Academia and Industrial Research, vol. 3, pp.53-57. June. 2014.
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