Multivariate Monitoring Using an MEWMA Control Chart with Unequal Sample Sizes

References

• Choi, S.; Lee, S.; and Hawkins, D. M. (2002). “A General Multivariate Exponentially Weighted Moving Average Control Chart”. Technical Report #640, School of Statistics, University of Minnesota, Minneapolis, MN.
   Google Scholar
• Crosier, R. B. (1988). “Multivariate Generalizations of Cumulative Sum Quality Control Schemes”. Technometrics 30, pp. 291–303.
   Web of Science ®Google Scholar
• Hauck, D. J.; Runger, G. C.; and Montgomery, D. C. (1999). “Multivariate Statistical Process Monitoring and Diagnosis with Grouped Regression-Adjusted Variables”. Communications in Statistics—Simulation and Computation 28, pp. 309–328.
   Web of Science ®Google Scholar
• Hawkins, D. M. (1991). “Multivariate Quality Control Based on Regression-Adjusted Variables”. Technometrics 33, pp. 61–75.
   Web of Science ®Google Scholar
• Hawkins, D. M. (1993). “Regression Adjustment for Variables in Multivariate Quality Control”. Journal of Quality Technology 25, pp. 170–182.
   Web of Science ®Google Scholar
• Healy, J. D. (1987). “A Note on Multivariate CUSUM Procedures”. Technometrics 29, pp. 409–412.
   Web of Science ®Google Scholar
• Hotelling, H. (1947). “Multivariate Quality Control-Illustrated by the Air Testing of Sample Bombsights” in Techniques of Statistical Analysis edited by C. Eisenhart, M. W. Hastay, and W. A. Wallis. McGraw-Hill, New York, NY.
   Google Scholar
• Jackson, J. E. (1991). A User's Guide to Principal Components. John Wiley & Sons, New York, NY.
   Google Scholar
• Liu, Y. (1995). “An Improvement for MEWMA in Multivariate Process Control”. Computers & Industrial Engineering 31, pp. 779–781.
   Web of Science ®Google Scholar
• Lowry, C. A. and Montgomery D. C. (1995). “A Review of Multivariate Control Charts”. IIE Transactions 27, pp. 800–810.
   Web of Science ®Google Scholar
• Lowry, C. A.; Woodall, W. H.; Champ, C. W.; and Rigdon, S. E. (1992). “A Multivariate Exponentially Weighted Moving Average Control Chart”. Technometrics 34, pp. 46–53.
   Web of Science ®Google Scholar
• Mason, R. L. and Young J. C. (2002). Multivariate Statistical Process Control with Industrial Applications. ASA-SIAM, Philadelphia, PA.
   Google Scholar
• Pignatiello, J. J., Jr. and Runger, G. C. (1990). “Comparisons of Multivariate CUSUM Charts”. Journal of Quality Technology 22, pp. 173–186.
   Web of Science ®Google Scholar
• Prabhu, S. S. and Runger, G. C. (1997). “Designing a Multivariate EWMA Control Chart”. Journal of Quality Technology 29, pp. 8–15.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr. and Kim, K. (2005). “Multivariate Monitoring of the Process Mean Vector with Sequential Sampling”. Journal of Quality Technology 37, pp. 149–162.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr. and Stoumbos, Z. G. (2004a). “Control Charts and the Optimal Allocation of Sampling Resources”. Technometrics 46, pp. 200–214.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr. and Stoumbos, Z. G. (2004b). “Should Observations Be Grouped for Effective Process Monitoring?” Journal of Quality Technology 36, pp. 343–366.
   Web of Science ®Google Scholar
• 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, pp. 351–365.
   Web of Science ®Google Scholar
• 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, pp. 365–373.
   Web of Science ®Google Scholar
• Runger, G. C. (1996). “Projections and the U2 Multivariate Control Chart”. Journal of Quality Technology 28, pp. 313–319.
   Web of Science ®Google Scholar
• Runger, G. C. and Alt, F. B. (1996). “Choosing Principal Components for Multivariate Statistical Process Control”. Communications in Statistics—Theory and Methods 25, pp. 909–922.
   Web of Science ®Google Scholar
• Runger, G. C.; Keats, J. B.; Montgomery, D. C.; and Scranton, R. D. (1999). “Improving the Performance of the Multivariate Exponentially Weighted Moving Average Control Chart”. Quality and Reliability Engineering International 15, pp. 161–166.
   Web of Science ®Google Scholar
• Runger, G. C. and Montgomery, D. C. (1997). “Multivariate and Univariate Process Control: Geometry and Shift Directions”. Quality and Reliability Engineering International 13, pp. 153–158.
   Web of Science ®Google Scholar
• 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, pp. 1701–1706.
   Web of Science ®Google Scholar
• Scranton, R. D.; Runger, G. C.; Keats, J. B.; and Montgomery, D. C. (1996). “Efficient Shift Detection Using Multivariate Exponentially-Weighted Moving Average Control Charts and Principal Components”. Quality and Reliability Engineering International 12, pp. 165–171.
   Web of Science ®Google Scholar
• Stoumbos, Z. G. and Sullivan, J. H. (2002). “Robustness to Non-Normality of the Multivariate EWMA Control Chart”. Journal of Quality Technology 34, pp. 260–276.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Sullivan, J. H. and Woodall, W. H. (1998). “Adapting Control Charts for the Preliminary Analysis of Multivariate Observations”. Communications in Statistics-Simulation and Computation 27, pp. 953–979.
   Web of Science ®Google Scholar
• Woodall, W. H. and Ncube, M. M. (1985). “Multivariate CUSUM Quality Control Procedures”. Technometrics 27, pp. 285–292.
   Web of Science ®Google Scholar