A nonparametric EWMA sign chart for location based on individual measurements

Quality Engineering

Volumn 23, Issue 3, 2011, Pages 227-241

  Graham, M A ^a   Chakraborti, S ^b   Human, S W ^a  

^a UNIVERSITY OF PRETORIA   (South Africa)

^b UNIVERSITY OF ALABAMA   (United States)

Author keywords

contaminated normal; distribution free; individual measurements; Markov chain; median; outlier; quality control; robust; simulation

Indexed keywords

CONTAMINATED NORMAL; DISTRIBUTION-FREE; INDIVIDUAL MEASUREMENTS; MARKOV CHAIN; MEDIAN; OUTLIER; ROBUST; SIMULATION;

FLOWCHARTING; MARKOV PROCESSES; NORMAL DISTRIBUTION; ROBUSTNESS (CONTROL SYSTEMS); STATISTICAL PROCESS CONTROL;

QUALITY CONTROL;

EID: 79958792700     PISSN: 08982112     EISSN: 15324222     Source Type: Journal    
DOI: 10.1080/08982112.2011.575745     Document Type: Article

References (44)

1. Albers, W., Kallenberg, W. C. M. (2004). Empirical nonparametric control charts: Estimation effects and corrections. Journal of Applied Statistics, 31(3):345-360. (Pubitemid 38516983)
2. Albers, W., Kallenberg, W. C. M. (2008). Minimum control charts. Journal of Statistical Planning and Inference, 138(3):539-551.
3. Albers, W., Kallenberg, W. C. M. (2009). CUMIN charts. Metrika, 70(1):111-130.
4. Amin, R. W., Reynolds, M. R., Jr., Bakir, S. T. (1995). Nonparametric quality control charts based on the sign statistic. Communications in Statistics: Theory and Methods, 24(6):1597-1623.
5. Amin, R. W., Searcy, A. J. (1991). A nonparametric exponentially weighted moving average control scheme. Communications in Statistics: Simulation and Computation, 20(4):1049-1072.
6. Amin, R. W., Widmaier, O. (1999). Sign control charts with variable sampling intervals. Communications in Statistics: Theory and Methods, 28(8):1961-1985.
7. Bakir, S. T. (2004). A distribution-free Shewhart quality control chart based on signed-ranks. Quality Engineering, 16(4):613-623.
8. Bakir, S. T. (2006). Distribution-free quality control charts based on signed-rank-like statistics. Communications in Statistics: Theory and Methods, 35(4):743-757.
9. Bakir, S. T., Reynolds, M. R., Jr. (1979). A nonparametric procedure for process control based on within-group ranking. Technometrics, 21(2):175-183.
10. 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.
11. Brook, D., Evans, D. A. (1972). An approach to the probability distribution of CUSUM run length. Biometrika, 59(3):539-549.
12. Capizzi, G., Masarotto, G. (2003). An adaptive exponentially weighted moving average control chart. Technometrics, 45(3):199-207.
13. Chakraborti, S. (2007). Run length distribution and percentiles: The Shewhart X chart with unknown parameters. Quality Engineering, 19(2):119-127. (Pubitemid 46534487)
14. Chakraborti, S., Eryilmaz, S. (2007). A nonparametric Shewhart-type signed-rank control chart based on runs. Communications in Statistics: Simulation and Computation, 36(2):335-356. (Pubitemid 46394197)
15. Chakraborti, S., Graham, M. A. (2007). Nonparametric control charts. In: Encyclopedia of Statistics in Quality and Reliability. John Wiley, 1:415-429.
16. Chakraborti, S., Human, S. W., Graham, M. A. (2009). Phase I statistical process control charts: An overview and some results. Quality Engineering, 21(1):52-62.
17. Chakraborti, S., Van de Wiel, M. A. (2008). A nonparametric control chart based on the Mann-Whitney statistic. IMS Collections. Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen, 1:156-172. Edited by N. Balakrishnan, Edsel A. Peńa and Mervyn J. Silvapulle. Hayward, CA: Institute of Mathematical Statistics.
18. Chakraborti, S., Van der Laan, P., Bakir, S. T. (2001). Nonparametric control charts: An overview and some results. Journal of Quality Technology, 33(3):304-315.
19. Farnum, N. R., Stanton, L. W. (1986). Using counts to monitor a process mean. Journal of Quality Technology, 18(1):22-28.
20. Fu, J. C., Lou, W. Y. W. (2003). Distribution Theory of Runs and Patterns and Its Applications: A Finite Markov Chain Imbedding Technique. Singapore: World Scientific Publishing.
21. Gan, F. F. (1993). An optimal design of CUSUM control charts for binomial counts. Journal of Applied Statistics, 20(4):445-460.
22. Gibbons, J. D., Chakraborti, S. (2003). Nonparametric Statistical Inference, 4th ed. Revised and Expanded. New York: Marcel Dekker.
23. Graham, M. A., Human, S. W., Chakraborti, S. (2009). A Nonparametric EWMA control chart based on the sign statistic. Technical Report 09/04. Department of Statistics, University of Pretoria, Pretoria, South Africa.
24. Hackl, P., Ledolter, J. (1991). A control chart based on ranks. Journal of Quality Technology, 23(2):117-124.
25. Hackl, P., Ledolter, J. (1992). A new nonparametric quality control technique. Communications in Statistics: Simulation and Computation, 21(2):423-443.
26. Hawkins, D. M., Deng, Q. (2010). A nonparametric change-point control chart. Journal of Quality Technology, 42(2):165-173.
27. Hawkins, D. M., Qiu, P., Kang, C. W. (2003). The changepoint model for statistical process control. Journal of Quality Technology, 35(4):355-366.
28. Human, S. W., Chakraborti, S., Kritzinger, P. (2011). Robustness of the EWMA control chart for individual observations. Journal of Applied Statistics. DOI:10.1080/02664763.2010.545114.
29. Human, S. W., Chakraborti, S., Smit, C. F. (2010). Nonparametric Shewhart-type sign control charts based on runs. Communications in Statistics: Theory and Methods, 39(11):2046-2062.
30. Li, S., Tang, L., Ng, S. (2010). Nonparametric CUSUM and EWMA control charts for detecting mean shifts. Journal of Quality Technology, 42(2):209-226.
31. Lucas, J. M., Saccucci, M. S. (1990). Exponentially weighted moving average control schemes: Properties and enhancements. Technometrics, 32(1):1-12.
32. McDonald, D. (1990). A CUSUM procedure based on sequential ranks. Naval Research Logistics, 37(5):627-646. (Pubitemid 21648561)
33. Montgomery, D. C. (2005). Introduction to Statistical Quality Control, 5th ed. New York: John Wiley.
34. Radson, D., Boyd, A. H. (2005). Graphical representation of run length distributions. Quality Engineering, 17(2):301-308. (Pubitemid 40889727)
35. Reynolds, M. R., Jr., Stoumbos, Z. G. (1999). A CUSUM chart for monitoring a proportion when inspecting continuously. Journal of Quality Technology, 31(1):87-108.
36. Roberts, S. W. (1959). Control chart tests based on geometric moving averages. Technometrics, 1(3):239-250.
37. Ruggeri, F., Kenett, R. S., Faltin, F. W. (2007). Exponentially weighted moving average (EWMA) control chart. Encyclopedia of Statistics in Quality and Reliability, 2:633-639.
38. Ryan, T. P. (2000). Statistical Methods for Quality Improvement, 2nd ed. New York, NY: John Wiley & Sons.
39. Spliid, H. (2010). An exponentially weighted moving average control chart for Bernoulli data. Quality and Reliability Engineering International, 26(1):97-113.
40. Stoumbos, Z. G., Reynolds, M. R., Jr. (2000). Robustness to non-normality and autocorrelation of individuals control charts. Journal of Statistical Computation and Simulation, 66(2):145-187.
41. Stoumbos, Z. G., Sullivan, J. H. (2002). Robustness to non-normality of the multivariate EWMA control chart. Journal of Quality Technology, 34(3):260-276.
42. Woodall, W. H., Mahmoud, M. A. (2005). The inertial properties of quality control charts. Technometrics, 47(4):425-436. (Pubitemid 41640375)
43. Yashchin, E. (1993). Statistical control schemes: Methods, applications and generalizations. International Statistical Review, 61(1):41-66.
44. Zhou, C., Zou, C., Zhang, Y., Wang, Z. (2009). Nonparametric control chart based on change-point model. Statistical Papers, 50(1):13-28.