Robustness ot non-normality and autocorrelation of individuals control charts

Journal of Statistical Computation and Simulation

Volumn 66, Issue 2, 2000, Pages 145-187

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

^a RUTGERS UNIVERSITY   (United States)

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

Author keywords

Autoregressive moving average model; Average number of observations to signal; Average time to signal; Exponentially weighted moving average control charts; Integral equation; Markov chain; Moving range control charts; Shewhart control charts; Statistical

Indexed keywords

EID: 0034349148     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/00949650008812019     Document Type: Article

References (20)

1. Albin, S. L., Kang, L. and Shea, G. (1997) "An X and EWMA Chart for Individual Observations". Journal of Quality Technology, 29, 41-48.
2. Amin, R. W. and Ethridge, R. A. (1998) "A Note on Individual and Moving Range Control Charts". Journal of Quality Technology, 30, 70-74.
3. 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.
4. Box, G. E. P., Jenkins, G. M. and Reinsel, G. C. (1994) Time Series Analysis, Forecasting and Control, 3rd edn. Prentice-Hall, Englewood Cliffs, NJ.
5. Champ, C. W. and Woodall, W. H. (1987) "Exact Results for Shewhart Control Charts with Supplementary Runs Rules". Technometrics, 29, 393-399.
6. Domangue, R. and Patch, S. C. (1991) "Some Omnibus Exponentially Weighted Moving Average Statistical Process Monitoring Schemes". Technometrics, 33, 299-313.
7. Lowry, C. A., Champ, C. W. and Woodall, W. H. (1995) "The Performance of Control Charts for Monitoring Process Variation". Communications in Statistics-Simulation and Computation, 24, 409-437.
8. Lu, C. W. and Reynolds, M. R. Jr. (1999) "Control Charts for Monitoring the Mean and Variance of Autocorrelated Processes". Journal of Quality Technology, 31, 259-274.
9. Lucas, J. M. and Saccucci, M. S. (1990) "Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements". Technometrics, 32, 1-12.
10. Macgregor, J. F. and Harris, T. J. (1993) "The Exponentially Weighted Moving Variance". Journal of Quality Technology, 25, 106-118.
11. Maragah, H. D. and Woodall, W. H. (1992) "The Effect of Autocorrelation on the Retrospective X-chart". Journal of Statistical Computation and Simulation, 40, 29-42.
12. Montgomery, D. C. (1997) Introduction to Statistical Quality Control, 3rd edn. John Wiley & Sons, New York, NY.
13. Reynolds, M. R. Jr. (1996) "Variable Sampling Interval Control Charts with Sampling at Fixed Times". IIE Transactions, 28, 497-510.
14. Reynolds, M. R. Jr. and Stoumbos, Z. G. (2000) "Monitoring the Process Mean and Variance Using Individual Observations and Variable Sampling Intervals". Journal of Quality Technology (to appear).
15. Rigdon, S. E., Cruthis, E. N. and Champ, C. W. (1994) "Design Strategies for Individuals and Moving Range Control Charts". Journal of Quality Technology, 26, 274-287.
16. Ryan, T. P. (2000) Statistical Methods for Quality Improvement, 2nd edn. John Wiley & Sons, New York, NY.
17. Stoumbos, Z. G. and Reynolds, M. R. Jr. (1997) "Control Charts Applying a Sequential Test at Fixed Sampling Intervals". Journal of Quality Technology, 29, 21-40.
18. Sullivan, J. H. and Woodall, W. H. (1996) "A Control Chart for Preliminary Analysis of Individual Observations". Journal of Quality Technology, 28, 265-278.
19. Western Electric Company (1956) Statistical Quality Control Handbook. Western Electric Company, Indianapolis, IN.
20. Zhang, N. F. (1998) "A Statistical Control Chart for Stationary Process Data". Technometrics, 40, 24-38.