A multivariate EWMA control chart for monitoring process variability with individual observations

IIE Transactions (Institute of Industrial Engineers)

Volumn 37, Issue 11, 2005, Pages 1023-1035

  Yeh, Arthur B ^a,c,d   Huwang, Longcheen ^b   Chien Wei, W U ^b  

^a BOWLING GREEN STATE UNIVERSITY   (United States)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

^c AMERICAN STATISTICAL ASSOCIATION   (United States)

^d American Society for Quality   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL CHARTS; VARIANCE-COVARIANCE MATRIX;

MATRIX ALGEBRA; PARAMETER ESTIMATION; PROCESS CONTROL;

CONTROL SYSTEM ANALYSIS;

EID: 29144490275     PISSN: 0740817X     EISSN: None     Source Type: Journal    
DOI: 10.1080/07408170500232263     Document Type: Article

References (35)

1. Alt, F.B. (1984) Multivariate quality control, in The Encyclopedia of Statistical Sciences, Kotz, S., Johnson, N.L. and Read, C.R. (eds.), Wiley, New York NY, pp. 110-122.
2. Alt, F.B. and Bedewi, G.E. (1986) SPC for dispersion for multivariate data, in ASQC Quality Congress Transactions, American Society for Quality Control, Milwaukee, WI, pp. 248-254.
3. Alt, F.B. and Smith, N.D. (1988) Multivariate process control, in Handbook of Statistics, Krishnaiah, P.R. and Rao, C.R. (eds.), Elsevier, New York, NY, pp. 333-351.
4. Anderson, T.W. (1984) An Introduction to Multivariate Statistical Analysis, 2nd edn., Wiley, New York, NY.
5. Crosier, R.B. (1988) Multivariate generalizations of cumulative sum quality control schemes. Technometrics, 30, 291-303.
6. Hawkins, D.M. (1981) A CUSUM for a scale parameter. Journal of Quality Technology, 13, 228-231.
7. Hawkins, D.M. (1991) Multivariate quality control based on regression-adjusted variables. Technometrics, 33, 61-75.
8. Hawkins, D.M. (1993) Regression adjustment for variables in multivariate quality control. Journal of Quality Technology, 25, 170-182.
9. Healy, J.D. (1987) A note on multivariate CUSUM procedures. Technometrics, 29, 409-412.
10. Hotelling, H. (1947) Multivariate quality control-illustrated by the air testing of sample bombsights, in Techniques of Statistical Analysis, Eisenhart, C., Hastay, M.W. and Wallis, W.A. (eds.), McGraw-Hill, New York, NY. pp. 111-184.
11. Jackson, J.E. (1980) Principal components and factor analysis: part I principal components. Journal of Quality Technology, 13, 46-58.
12. Joshi, M. and Sprague, K. (1997) Obtaining and using statistical process control limits in the semiconductor industry, in Statistical Case Studies for Industrial Process Improvement, Czitrom, V. and Spagon, P.D. (eds.), SIAM, Philadelphia, PA, pp. 337-356.
13. Linderman, K. and Love, T.E. (2000) Economic and economic statistical designs for MEWMA control charts. Journal of Quality Technology, 32, 410-417.
14. Lowry, C.A. and Montgomery, D.C. (1995) A review of multivariate control charts. IIE Transactions. 27, 800-810.
15. Lowry, C.A., Woodall, W.H., Champ, C.W. and Rigdon, S.E. (1992) A multivariate exponentially weighted moving average control chart. Technometrics, 34, 46-53.
16. MacGregor, J.F. and Harris, T.J. (1993) The exponentially weighted moving variance. Journal of Quality Technology, 25, 106-118.
17. 2 control chart signals. Journal of Quality Technology, 29, 396-406.
18. Montgomery, D.C. (2001) Introduction to Statistical Qualitv Control, 4th edn., Wiley, New York., NY.
19. Muirhead, R.J. (1982) Aspects of Multivariate Statistical Theory, Wiley, New York, NY.
20. Pignatiello, J.J., Jr. and Runger, G.C. (1990) Comparisons of multivariate CUSUM charts. Journal of Quality Technology, 22, 173-186.
21. Prabhu, S.S. and Runger, G.C. (1997) Designing a multivariate EWMA control chart. Journal of Quality Technology, 29, 8-15.
22. Rigdon, S.E. (1995a) An integral equation for the in-control average run length of a multivariate exponentially weighted moving average control chart. Journal of Statistical Computation and Simulation, 52, 351-365.
23. Rigdon, S.E. (1995b) A double-integral equation for the average run length of a multivariate exponentially weighted moving average control chart. Statistics and Probability Letters, 24, 365-373.
24. Runger, G.C. and Prabhu, S.S. (1996) A Markov chain model for the multivariate exponentially weighted moving averages control chart. Journal of the American Statistical Association, 91, 1701-1706.
25. Ryan, T.P. (2000) Statistical Methods for Quality Improvement, 2nd edn., Wiley, New York, NY.
26. Stoumbos, Z.G., Reynolds, M.R., Jr., Ryan, T.P. and Woodall, W.H. (2000) The state of statistical process control as we proceed into the 21st century. Journal of the American Statistical Association, 95, 992-998.
27. Tang, P.F. and Barnett, N.S. (1996a) Dispersion control for multivariate processes. The Australian Journal of Statistics, 38, 235-251.
28. Tang, P.F. and Barnett, N.S. (1996b) Dispersion control for multivariate processes - some comparisons. The Australian Journal of Statistics, 38, 253-273.
29. Tracy, N.D., Young, J.C., and Mason, R.L. (1992). Multivariate control charts for individual observations. Journal of Quality Technology, 24, 88-95.
30. Wierda, S.J. (1994) Multivariate Statistical Process Control, Wolters-Noordhoff, Groningen, The Netherlands.
31. Woodall, W.H. (2000) Controversies and contradictions in statistical process control (with discussions). Journal of Quality Technology, 32, 341-378.
32. Woodall, W.H. and Montgomery, D.C. (1999) Research issues and ideas in statistical process control. Journal of Quality Technology, 31, 376-386.
33. Woodall, W.H. and Ncube, M.M. (1985) Multivariate CUSUM quality control procedures. Technometrics, 27, 285-292.
34. Yeh, A.B., Huwang, L. and Wu, Y.-F. (2004) A likelihood ratio based EWMA control chart for monitoring variablity of multivariate nor mal processes. IIE Transactions on Quality and Reliability Engineering, 36, 865-879.
35. Yeh, A.B., Lin, D.K.-J., Zhou, H. and Venkataramani, C. (2003) A multivariate exponentially weighted moving average control chart for monitoring process variability. Journal of Applied Statistics, 30, 507-536.