Control charts for monitoring processes with autocorrelated data

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 7, 1997, Pages 4059-4067

  Reynolds Jr , Marion R ^a   Lu, Chao Wen ^b  

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

^b CHAOYANG UNIVERSITY OF TECHNOLOGY   (Taiwan)

Author keywords

AR(1) model; ARMA model; Autocorrelation; Average run length; Control chart; EWMA chart; Process monitoring; Residual; Shewhart chart

Indexed keywords

EID: 0004456898     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00011-4     Document Type: Article

References (27)

1. ABRAHAM, B. & KARTHA, C.P., Forecast Stability and Control Charts, ASQC Technical Conference Transactions, Houston, Texas, 675-680 (1979).
2. ALWAN, L.C., Autocorrelation: Fixed Versus Variable Control Limits, Quality Engineering 4, 167-188 (1991).
3. ALWAN, L.C., Effects of Autocorrelation on Control Chart Performance, Communications in Statistics - Theory and Methods 21, 1025-1049 (1992).
4. ALWAN, L.C. & RADSON, D., Time-Series Investigation of Subsample Mean Charts, IIE Transactions 24, 66-80 (1992).
5. ALWAN, L.C. & Roberts, H.V., Time Series Modeling for Statistical Process Control, Journal of Business and Economic Statistics 6, 86-95 (1988).
6. BAGSHAW, M. & JOHNSON, R.A., The Effect of Serial Correlation on the Performance of CUSUM Tests II, Technometrics 17, 73-80 (1975).
7. BASAWA, I.V., LUND, R. & PADGETT, W.J., A Control Chart for Processes With Correlated Subgroups, unpublished manuscript.
8. BERTHOUEX, P.J., HUNTER, W.G. & PALLESEN, L., Monitoring Sewage Treatment Plants: Some Quality Control Aspects, Journal of Quality Technology 10, 139-149 (1978).
9. DOOLEY, K.J., KAPOOR, S.G., DESSOIKY, M.I. & DEVOR, R.E., An Integrated Quality Systems Approach to Quality and Productivity Improvement in Continuous Manufacturing Processes, Transactions of the ASME Journal of Engineering for Industry 108, 322-327 (1986).
10. ERMER, D.S., A Control Chart for Dependent Data, 1980 ASQC Technical Conference Transactions, Atlanta, Georgia, 121-128 (1980).
11. GOLDSMITH, P.L. & WHITFIELD, H.W., Average Run Lengths in Cumulative Chart Quality Control Schemes, Technometrics 3, 11-20 (1961).
12. HARRIS, T.J. & ROSS, W.H., Statistical Process Control Procedures for Correlated Observations, Canadian Journal of Chemical Engineering 69, 48-57 (1991).
13. JOHNSON, R.A. & BAGSHAW, M., The Effect of Serial Correlation on the Performance of CUSUM Tests, Technometrics 16, 103-112 (1974).
14. LONGNECKER, M.T. & RYAN, T.P., Charting Correlated Process Data, Technical Report No. 166, Department of Statistics, Texas A&M University, College Station, Texas.
15. MARAGAH, H.D. & WOODALL, W.H., The Effect of Autocorrelation on the Retrospective X-Chart, Journal of Statistical Computation and Simulation 40, 29-42 (1992).
16. MONTGOMERY, D.C., Introduction to Statistical Quality Control, 2nd ed. John Wiley & Sons, New York, NY (1991).
17. MONTGOMERY, D.C. & MASTRANGELO, C.M., Some Statistical Process Control Methods for Autocorrelated Data, Journal of Quality Technology 23, 179-193 (1991).
18. PADGETT, C.S., THOMBS, L.A. & PADGETT, W.J., On the α-risks for Shewhart Control Charts, Communication in Statistics - Simulation and Computation 21, 1125-1147 (1992).
19. REYNOLDS, M.R., ARNOLD, J.C. & BAIK, J.W., Variable Sampling Interval X̄ Charts in the Presence of Correlation, Journal of Quality Technology 28, 12-30 (1996).
20. SCHMID, W., On the Run Length of a Shewhart Control Chart for Correlated Data, Statistical Papers 36, 111-130 (1995).
21. SUPERVILLE, C.R. & ADAMS, B.M., An Evaluation of Forecast-Based Quality Control Schemes, Communications in Statistics - Simulation and Computation 23, 645-661 (1994).
22. VANBRACKLE, L.N. & REYNOLDS, M.R., JR., EWMA and CUSUM Control Charts in the Presence of Correlation, unpublished paper (1994).
23. VANDER WEIL, S.A., Monitoring Processes That Wander Using Integrated Moving Average Models, Technometrics 38, 139-151 (1996).
24. VASILOPOULUS, A.V. & STAMBOULIS, A.P., Modification of Control Chart Limits in the Presence of Data Correlation, Journal of Quality Technology 10, 22-30 (1978).
25. WARDELL, D.G., MOSKOWlTZ, H. & PLANTE, R.D., Control Charts in the Presence of Data Correlation, Management Science 38, 1084-1105 (1992).
26. WARDELL, D.G., MOSKOWITZ, H. & PLANTE, R.D., Run-Length Distributions of Special Cause Control Charts for Correlated Processes, Technometrics 36, 3-17 (1994).
27. YASHCHIN, E., Performance of CUSUM Control Schemes for Serially Correlated Observations, Technometrics 35, 37-52 (1993).