Monitoring Nonlinear Profiles with Random Effects by Nonparametric Regression

References

• Anderson , T. W. ( 2003 ). An Introduction to Multivariate Statistical Analysis. , 3rd ed. New York : Wiley .
   Google Scholar
• Castro , P. E. , Lawton , W. H. , Sylvestre , E. A. ( 1986 ). Principal modes of variation for processes with continuous sample curves . Technometrics 28 : 329 – 337 .
   Web of Science ®Google Scholar
• Ding , P. L. , Zeng , L. , Zhou , S. Y. ( 2006 ). Phase I analysis for monitoring nonlinear profiles in manufacturing processes . Qual. Eng. 5 : 619 – 625 .
   Google Scholar
• Jensen , W. A. , Birch , J. B. , Woodall , W. H. ( 2006a ). Profile monitoring via linear mixed models . Technical Report No. 06-2 , Department of Statistics, Virginia Polytechnic Institute and State University , Virginia .
   Google Scholar
• Jensen , W. A. , Birch , J. B. , Woodall W. H. ( 2006b ). Profile monitoring via nonlinear mixed models . Technical Report No. 06-4 , Department of Statistics, Virginia Polytechnic Institute and State University , Virginia . Journal of Quality Technology. To appear .
   Google Scholar
• Jones , M. C. , Rice , J. A. ( 1992 ). Displaying the important features of large collections of similar curves . Amer. Statistician 46 : 140 – 145 .
   Web of Science ®Google Scholar
• Kang , L. , Albin , S. L. ( 2000 ). On-line monitoring when the process yields a linear profile . J. Qual. Technol. 32 : 418 – 426 .
   Web of Science ®Google Scholar
• Kim , K. , Mahmoud , M. A. , Woodall , W. H. ( 2003 ). On the monitoring of linear profiles . J. Qual. Technol. 35 : 317 – 328 .
   Web of Science ®Google Scholar
• Mahmoud , M. A. , Woodall , W. H. ( 2004 ). Phase I analysis of linear profiles with calibration applications . Technometrics 46 : 380 – 391 .
   Web of Science ®Google Scholar
• Ramsay , J. O. , Silverman , B. W. ( 2005 ). Applied Functional Data Analysis. , 2nd ed. New York : Springer .
   Google Scholar
• Rice , J. A. , Silverman , B. W. ( 1991 ). Estimating the mean and covariance structure nonparametrically when the data are curves . J. Roy. Statist. Soc. Ser. B 53 : 233 – 243 .
   Google Scholar
• Shiau , J.-J. H. , Lin , H.-H. ( 1999 ). Analyzing accelerated degradation data by nonparametric regression . IEEE Trans. Reliab. 48 : 149 – 158 .
   Web of Science ®Google Scholar
• Shiau , J.-J. H. , Lin , S.-H. , Chen , Y.-C. ( 2006a ). Monitoring linear profiles based on a random-effect model . Technical Report . Institute of Statistics, National Chiao Tung University , Hsinchu , Taiwan .
   Google Scholar
• Shiau , J.-J. H. , Yen , C.-L. , Feng , Y.-W. ( 2006b ). A new robust method for Phase I monitoring of nonlinear profiles . Technical Report . Institute of Statistics, National Chiao Tung University , Hsinchu , Taiwan .
   Google Scholar
• Shiau , J.-J. H. , Weng , Z.-P. ( 2004 ). Profile monitoring by nonparametric regression . Technical Report . Institute of Statistics, National Chiao Tung University , Hsinchu , Taiwan .
   Google Scholar
• Sullivan , J. H. , Woodall , W. H. ( 1996 ). A comparision of multivariate control charts for individual observations . J. Qual. Technol. 28 : 398 – 408 .
   Web of Science ®Google Scholar
• Tracy , N. D. , Young , J. C. , Mason , R. I. ( 1992 ). Multivariate control charts for individual observations . J. Qual. Technol. 24 : 88 – 95 .
   Web of Science ®Google Scholar
• Walker , E. , Wright , S. P. ( 2002 ). Comparing curves using additive models . J. Qual. Technol. 34 : 118 – 129 .
   Web of Science ®Google Scholar
• Williams , J. D. , Birch , J. B. , Woodall , W. H. , Ferry , N. M. (2007). Statistical monitoring of heteroscedastic dose-response profiles from high-throughput screening. J. Agricult. Biolog. Environ. Statist. 2:216–235.
   Google Scholar
• Williams , J. D. , Woodall , W. H. , Birch , J. B. ( 2003 ). Phase I analysis of nonlinear product and process quality profiles . Technical Report No. 03-5 , Department of Statistics, Virginia Polytechnic Institute and State University , Virginia .
   Google Scholar
• Woodall , W. H. , Spitzner , D. J. , Montgomery , D. C. , Gupta , S. ( 2004 ). Using control charts to monitor process and product quality profiles . J. Qual. Technol. 36 : 309 – 320 .
   Web of Science ®Google Scholar