Ch. 13. Control chart schemes for monitoring the mean and variance of processes subject to sustained shifts and drifts

Handbook of Statistics

Volumn 22, Issue , 2003, Pages 553-571

  Stoumbos, Zachary G ^a   Reynolds Jr , Marion R ^a   Woodall, William H ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67649658033     PISSN: 01697161     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0169-7161(03)22015-0     Document Type: Review

References (43)

1. Aerne L.A., Champ C.W., and Rigdon S.E. Evaluation of control charts under linear trend. Comm. Statist. Theory Methods 20 (1991) 3341-3349
2. Albin S.L., Kang L., and Shea G. An X and EWMA chart for individual observations. J. Quality Technology 29 (1997) 41-48
3. Amin R.W., and Ethridge R.A. A note on individual and moving range control charts. J. Quality Technology 30 (1998) 70-74
4. (Corrigendum, Appl. Statist. 35.). Bissell A.F. The performance of control charts and cusums under linear trend. Appl. Statist. 33 (1984) 145-151
5. Chakraborti S., Van Der Laan P., and Bakir S.T. Nonparametric control charts: an overview and some results. J. Quality Technology 33 (2001) 304-315
6. Champ C.W., and Woodall W.H. Exact results for Shewhart control charts with supplementary runs rules. Technometrics 29 (1987) 393-399
7. Davis R.B., and Woodall W.H. Performance of the control chart trend rule under linear shift. J. Quality Technology 20 (1988) 260-262
8. Domangue R., and Patch S.C. Some omnibus exponentially weighted moving average statistical process monitoring schemes. Technometrics 33 (1991) 299-313
9. Gan F.F. EWMA control chart under linear drift. J. Statist. Comput. Simulation 38 (1991) 181-200
10. Gibbons R.D. Statistical Methods for Groundwater Monitoring (1994), Wiley, Hackensack, NJ
11. Hawkins D.M., and Olwell D.H. Cumulative Sum Control Charts and Charting for Quality Improvement (1998), Springer-Verlag, New York
12. Lai T.L. Sequential changepoint detection in quality control and dynamical systems (with discussion). J. Roy. Statist. Soc. B 57 (1995) 613-658
13. Lai T.L. Sequential analysis: some classical problems and new challenges (with discussion). Statistica Sinica 11 (2001) 303-408
14. Lucas J.M., and Saccucci M.S. Exponentially weighted moving average control schemes: properties and enhancements. Technometrics 32 (1990) 1-12
15. MacGregor J.F., and Harris T.J. The exponentially weighted moving variance. J. Quality Technology 25 (1993) 106-118
16. Montgomery D.C. Introduction to Statistical Quality Control. 4th ed. (2001), Wiley, New York
17. Montgomery D.C., and Woodall W.H. A panel discussion on statistically-based process monitoring and control. J. Quality Technology 29 (1997) 121-162
18. Nelson L.S. Control charts for individual measurements. J. Quality Technology 14 (1982) 172-173
19. Page E.S. Continuous inspection schemes. Biometrika 41 (1954) 100-114
20. Reynolds Jr. M.R. Evaluating properties of variable sampling interval control charts. Sequential Anal. 14 (1995) 59-97
21. Reynolds Jr. M.R., and Stoumbos Z.G. Some recent developments in control charts for monitoring a proportion. In: Park S.H., and Vining G.G. (Eds). Statistical Process Monitoring and Optimization (2000), Dekker, New York 117-138
22. Reynolds Jr. M.R., and Stoumbos Z.G. Monitoring the process mean and variance using individual observations and variable sampling intervals. J. Quality Technology 33 (2001) 181-205
23. Reynolds Jr. M.R., and Stoumbos Z.G. Individuals control schemes for monitoring the mean and variance of processes subject to drifts. Stochastic Anal. Appl. 19 (2001) 863-892
24. Preprint. Reynolds Jr. M.R., and Stoumbos Z.G. Control charts and the efficient allocation of sampling resources (2002)
25. Roberts S.W. Control charts based on geometric moving averages. Technometrics 1 (1959) 239-250
26. Roes K.C.B., Does R.J.M.M., and Schurink Y. Shewhart-type control charts for individual observations. J. Quality Technology 25 (1993) 188-198
27. Rigdon S.E., Cruthis E.N., and Champ C.W. Design strategies for individuals and moving range control charts. J. Quality Technology 26 (1994) 274-287
28. Ryan T.P. Statistical Methods for Quality Improvement. 2nd ed. (2000), Wiley, New York
29. Shamma S.E., and Amin R.W. An EWMA quality control procedure for jointly monitoring the mean and variance. Internat. J. Quality and Reliability Management 10 (1993) 58-67
30. Shewhart W.A. Economic Control of Quality of Manufactured Product (1931), Van Nostrand, New York
31. Stoumbos Z.G., Mittenthal J., and Runger G.C. Steady-state-optimal adaptive control charts based on variable sampling intervals. Stochastic Anal. Appl. 19 (2001) 1025-1057
32. Stoumbos Z.G., and Reynolds Jr. M.R. Control charts applying a general sequential test at each sampling point. Sequential Anal. 15 (1996) 159-183
33. Stoumbos Z.G., and Reynolds Jr. M.R. Control charts applying a sequential test at fixed sampling intervals. J. Quality Technology 29 (1997) 21-40
34. Stoumbos Z.G., and Reynolds Jr. M.R. Robustness to non-normality and autocorrelation of individuals control charts. J. Statist. Comput. Simulation 66 (2000) 145-187
35. Stoumbos Z.G., and Reynolds Jr. M.R. The SPRT control chart for the process mean with samples starting at fixed times. Nonlinear Anal.: Real World Appl. 2 (2001) 1-34
36. To appear. Stoumbos Z.G., and Reynolds Jr. M.R. Economic statistical design of adaptive individuals control schemes for monitoring the process mean and variance. Nonlinear Anal.: Real World Appl. (2003)
37. To appear. Stoumbos Z.G., and Reynolds Jr. M.R. The robustness and performance of CUSUM control charts based on the double-exponential and normal distributions. In: Lenz H.-J., and Wilrich P.-Th. (Eds). Frontiers in Statistical Quality Control 7 (2004), Springer-Verlag, New York
38. Reprinted 2001 in. Stoumbos Z.G., Reynolds Jr. M.R., Ryan T.P., and Woodall W.H. The state of statistical process control as we proceed into the 21st century. J. Amer. Statist. Assoc. 95 (2000) 992-998
39. Reprinted 2001 in. Stoumbos Z.G., Reynolds Jr. M.R., Ryan T.P., and Woodall W.H. The state of statistical process control as we proceed into the 21st century. In: Raftery A.E., Tanner M.A., and Wells M.T. (Eds). Statistics for the 21st Century (2000), Chapman and Hall, Heidelberg, Germany 243-255
40. Woodall W.H. Control charting based on attribute data: bibliography and review. J. Quality Technology 29 (1997) 172-183
41. Woodall W.H. Controversies and contradictions in statistical process control (with discussion). J. Quality Technology 32 (2000) 341-378
42. Woodall W.H., and Montgomery D.C. Research issues and ideas in statistical process control. J. Quality Technology 31 (1999) 376-386
43. Yashchin E. Statistical control schemes: methods, applications and generalizations. Internat. Statist. Rev. 61 (1993) 41-66