Should exponentially weighted moving average and cumulative sum charts be used with shewhart limits?

Technometrics

Volumn 47, Issue 4, 2005, Pages 409-424

  Reynolds Jr , Marion R ^a   Stoumbos, Zachary G ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b RUTGERS BUSINESS SCHOOL   (United States)

Author keywords

Average time to signal; Monitoring; Process mean; Process variance; Robust control chart; Statistical process control; Steady state

Indexed keywords

AVERAGE TIME TO SIGNAL; PROCESS MEAN; PROCESS VARIANCE; ROBUST CONTROL CHART; STEADY STATE;

MONITORING; ROBUSTNESS (CONTROL SYSTEMS); SIGNAL PROCESSING;

STATISTICAL PROCESS CONTROL;

EID: 27844489498     PISSN: 00401706     EISSN: None     Source Type: Trade Journal    
DOI: 10.1198/004017005000000382     Document Type: Review

References (28)

1. Blacksell, S. D., Glefson, L. J., Lunt, R. A., and Chamnpood, C. (1994), "Use of Combined Shewhart-CUSUM Control Charts in Internal Quality Control of Enzyme-Linked Immunosorbent Assays for Taping of Foot and Mouth Disease Virus-Antigen," Revue Scientifique et Technique de L'Office International des Epizooties, 13, 687-699.
2. Borror, C. M., Montgomery, D. C., and Runger, G. C. (1999), "Robustness of the EWMA Control Chart to Non-Normality," Journal of Quality Technology, 31, 309-316.
3. Crowder, S. V. (1987), "A Simple Method for Studying Run-Length Distributions of Exponentially Weighted Moving Average Charts," Technometrics, 29, 401-401.
4. Crowder, S. V., and Hamilton, M. D. (1992), "An EWMA for Monitoring a Process Standard Deviation," Journal of Quality Technology, 24, 12-21.
5. Domangue, R., and Patch, S. C. (1991), "Some Omnibus Exponentially Weighted Moving Average Statistical Process Monitoring Schemes," Technometrics, 33, 299-313.
6. Gan, F. F. (1995), "Joint Monitoring of Process Mean and Variance Using Exponentially Weighted Moving Average Control Charts," Technometrics, 37, 446-453.
7. Hawkins, D. M., and Olwell, D. H. (1998), Cumulative Sum Control Charts and Charting for Quality Improvement, New York: Springer-Verlag.
8. Klein, M. (1996), "Composite Shewhart-EWMA Statistical Control Schemes," IIE Transactions, 28, 475-481.
9. Lucas, J. M. (1982), "Combined Shewhart-CUSUM Quality Control Schemes," Journal of Quality Technology, 14, 51-59.
10. Lucas, J. M., and Saccucci, M. S. (1990), "Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements," Technometrics, 32, 1-12.
11. MacGregor, J. F., and Harris, T. J. (1993), "The Exponentially Weighted Moving Variance," Journal of Quality Technology, 25, 106-118.
12. Montgomery, D. C. (2005), Introduction to Statistical Quality Control (5th ed.), New York: Wiley.
13. Morais, M. C., and Pacheco, A. (2000), "On the Performance of Combined EWMA Schemes for μ and σ: A Markovian Approach," Communications in Statistics, Part B - Simulation and Computation, 29, 153-174.
14. Reynolds, M. R., Jr., and Ghosh, B. K. (1981), "Designing Control Charts for Means and Variances," in 35th Annual Quality Congress Transactions, American Society for Quality Control, pp. 400-407.
15. Reynolds, M. R., Jr., and Kim, K. (2005), "Multivariate Monitoring the Process Mean Vector With Sequential Sampling," Journal of Quality Technology, 37, 149-162.
16. Reynolds, M. R., Jr., and Stoumbos, Z. G. (2001a), "Monitoring the Process Mean and Variance Using Individual Observations and Variable Sampling Intervals," Journal of Quality Technology, 33, 181-205.
17. _ (2001b), "Individuals Control Schemes for Monitoring the Mean and Variance of Processes Subject to Drifts," Stochastic Analysis and Applications, 19, 863-892.
18. _ (2004a), "Control Charts and the Efficient Allocation of Sampling Resources," Technometrics, 46, 200-214.
19. _ (2004b), "Should Observations Be Grouped for Effective Process Monitoring?" Journal of Quality Technology, 36, 343-366.
20. Roberts, S. W. (1959), "Control Charts Based on Geometric Moving Averages," Technometrics, 1, 239-250.
21. Ryan, T. P. (2000), Statistical Methods for Quality Improvement (2nd ed.), New York: Wiley.
22. Shamma, S. E., and Amin, R. W. (1993), "An EWMA Quality Control Procedure for Jointly Monitoring the Mean and Variance," International Journal of Quality and Reliability Management, 10, 58-67.
23. Stoumbos, Z. G., and Reynolds, M. R., Jr. (2000), "Robustness to Non-Normality and Autocorrelation of Individual Control Charts," Journal of Statistical Computation and Simulation, 66, 145-187.
24. Stoumbos, Z. G., Reynolds, M. R., Jr., and Woodall, W. H. (2003), "Control Chart Schemes for Monitoring the Mean and Variance of Processes Subject to Sustained Shifts and Drifts," in Handbook of Statistics: Statistics in Industry, 22, eds. C. R. Rao and R. Khattree, Amsterdam: Elsevier Science, pp.553-571.
25. Stoumbos, Z. G., and Sullivan, J. H. (2002), "Robustness to Non-Normality of the Multivariate EWMA Control Chart," Journal of Quality Technology, 34, 260-276.
26. Westgard, J. O., Groth, T., Aronsson, T., and de Verdier, C. (1977), "Combined Shewhart-CUSUM Control Chart for Improved Quality Control in Clinical Chemistry," Clinical Chemistry, 23, 1881-1887.
27. Woodall, W. H. (2000),"Controversies and Contradictions in Statistical Process Control" (with discussion), Journal of Quality Technology, 32, 341-378.
28. Yashchin, E. (1993), "Statistical Control Schemes: Methods, Applications and Generalizations," International Statistical Review, 61, 41-66.