Monitoring multivariate process variability for individual observations

Journal of Quality Technology

Volumn 39, Issue 3, 2007, Pages 258-278

  Huwang, Longcheen ^a,d   Yeh, Arthur B ^b,e   Wu, Chien Wei ^c,e  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^b BOWLING GREEN STATE UNIVERSITY   (United States)

^c FENG CHIA UNIVERSITY   (Taiwan)

^d Institute of Statistics   (Taiwan)

^e Department of Applied Statistics and Operations Research ^*  (Taiwan)

Author keywords

Covariance matrix; Exponentially weighted moving average; Individual observations; Trace

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; COVARIANCE MATRIX; MEAN SQUARE ERROR; PROCESS MONITORING;

CONTROL CHARTS; EXPONENTIALLY WEIGHTED MOVING AVERAGE; INDIVIDUAL OBSERVATIONS; SEMICONDUCTOR INDUSTRY;

PROCESS CONTROL;

EID: 34547361213     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2007.11917692     Document Type: Article

References (25)

1. ALT, F. B. (1984). "Multivariate Quality Control". The Encyclopedia of Statistical Sciences. Kotz, S.; Johnson, N. L.; and Read, C. R., eds. John Wiley, New York, pp. 110-122.
2. ALT, F. B. and BEDEWI, G. E. (1986). "SPC for Dispersion for Multivariate Data". ASQ Quality Congress Transactions, pp. 248-254.
3. ALT, F. B. and SMITH, N. D. (1988). "Multivariate Process Control". Handbook of Statistics. Krishnaiah, P. R. and Rao, C. R., eds. Elsevier Science Publishers, New York, NY. pp. 333-351.
4. ANDERSON, T. W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd ed. John Wiley & Sons, New York, NY.
5. HAWKINS, D. M. (1974). "The Detection of Errors in Multivariate Data Using Principal Components". Journal of American Statistical Association 69, pp. 340-344.
6. HAWKINS, D. M. (1981). "A Cusum for a Scale Parameter". Journal of Quality Technology 13, pp. 228-231.
7. HAWKINS, D. M. (1991). "Multivariate Quality Control Based on Regression-Adjusted Variables". Technometrics 33, pp. 61-75.
8. HAWKINS, D. M. (1993). "Regression Adjustment for Variables in Multivariate Quality Control". Journal of Quality Technology 25, pp. 170-182.
9. JACKSON, J. E. (1985). "Multivariate Quality Control". Communications in Statistics: Theory and Methods 11, pp. 2657-2688.
10. JOSHI, M. and SPRAGUE, K. (1997). "Obtaining and Using Statistical Process Control Limits in the Semiconductor Industry". Statistical Case Studies for Industry Process Improvement. Czitrom, V. and Spagon, P. D., eds. SIAM, Philadelphia, PA, pp. 337-356.
11. LOWRY, C. A. and MONTGOMERY, D. C. (1995). "A Review of Multivariate Control Charts". IIE Transactions 27, pp. 800-810.
12. LOWRY, C. A.; WOODALL, W. H.; CHAMP, C. W.; and RIGDON, W. E. (1992). "A Multivariate Exponentially Weighted Moving Average Control Chart". Technometrics 34, pp. 46-53.
13. MACGREGOR, J. F. and HARRIS, T. J. (1993). "The Exponentially Weighted Moving Variance". Journal of Quality Technology 25, pp. 106-118.
14. MONTGOMERY, D. C. (2005). Introduction to Statistical Quality Control, 5th ed. John Wiley & Sons, New York, NY.
15. REYNOLDS, M. R., JR. and CHO, G.-Y. (2006). "Multivariate Control Charts for Monitoring the Mean Vector and Covariance Matrix". Journal of Quality Technology 38, pp. 230-253.
16. SULLIVAN, J. H. and WOODALL, W. H. (1996). "A Comparison of Multivariate Control Charts for Individual Observations". Journal of Quality Technology 28, pp. 398-408.
17. SULLIVAN, J. H. and WOODALL, W. H. (2000). "Change-point Detection of Mean Vector or Covariance Matrix Using Individual Observations". IIE Transactions on Quality and Reliability Engineering 32, pp. 537-549.
18. SWEET, A. L. (1986). "Control Charts Using Coupled Exponentially Weighted Moving Averages". IIE Transactions 18, pp. 26-33.
19. TRACY, N. D.; YOUNG, J. C.; and MASON, R. L. (1992). "Multivariate Control Charts for Individual Observations". Journal of Quality Technology 24, pp. 88-95.
20. VARGAS, N. J. A. (2003). "Robust Estimation in Multivariate Control Charts for Individual Observations". Journal of Quality Technology 35, pp. 367-376.
21. WIERDA, S. J. (1994). "Multivariate Statistical Process Control - Recent Results and Directions for Future Research". Statistica Neerlandica 48, pp. 147-168.
22. WOODALL, W. H. and NCUBE, M. M. (1985). "Multivariate CUSUM Quality Control Charts". Technometrics 27, pp. 285-292.
23. YEH, A. B.; HUWANG, L.; and WU, C.-W. (2005). "A Multivariate EWMA Control Chart for Monitoring Process Variability with Individual Observations". IIE Transactions on Quality and Reliability Engineering 37, pp. 1023-1035.
24. YEH, A. B.; HUWANG, L.; and WU, Y.-F. (2004). "A Like-lihood Ratio Based EWMA Control Chart for Monitoring Variability of Multivariate Normal Processes". IIE Transactions on Quality and Reliability Engineering 36, pp. 865-879.
25. YEH, A. B.; LIN, D. K.-J.; and MCG RATH, R. N. (2006). "Multivariate Control Charts for Monitoring Covariance Matrix: A Review". Quality Technology and Quantitative Management 3, pp. 415-436.