Identifying the time of change in the mean of a two-stage nested process

References

• Anderson , R. L. and Crump , P. P. 1967 . Comparisons of designs and estimation procedures in a two-stage nested processes . Technometrics , 9 : 499 – 516 .
   Web of Science ®Google Scholar
• Box , G. E.P. , Jenkins , G. M. and Reinsel , G. C. 1994 . Time Series Analysis: Forecasting and Control , New Jersey : Prentice .
   Google Scholar
• Corbeil , R. R. and Searle , S. R. 1976 . Restricted maximum likelihood (REML) estimation of variance components in the mixed model . Technometrics , 18 : 31 – 38 .
   Web of Science ®Google Scholar
• Fahmy , H. M. and Elsayed , E. A. 2006 . Drift time detection and adjustment procedures for processes subject to linear trend . Int. J. Prod. Res. , 44 : 3257 – 3278 .
   Web of Science ®Google Scholar
• Harville , D. A. 1977 . Maximum likelihood approaches to variance component estimation and to related problems . J. Amer. Statist. Assoc. , 72 : 320 – 338 .
   Web of Science ®Google Scholar
• Hocking , R. R. 2003 . Methods and Applications of Linear Models: Regression and the Analysis of Variance , New York : John Wiley & Sons .
   Google Scholar
• Jensen , W. A. , Birch , J. B. and Woodall , W. H. 2008 . Monitoring correlation within linear profiles using mixed models . J. Qual. Technol. , 40 : 167 – 183 .
   Web of Science ®Google Scholar
• Kim , K. and Yum , B. 1999 . Control charts for random and fixed components of variation in the case of fixed wafer locations and measurement position . IEEE Trans. Semicond. Manuf. , 12 : 214 – 228 .
   Web of Science ®Google Scholar
• Nishina , K. 1992 . A comparison of control charts from the viewpoint of change point estimation . Qual. Reliab. Eng. Int. , 8 : 537 – 541 .
   Google Scholar
• Page , E. S. 1954 . Continuous inspection schemes . Biometrika , 41 : 1 – 9 .
   Web of Science ®Google Scholar
• Page , E. S. 1961 . Cumulative sum control charts . Technometrics , 3 : 1 – 9 .
   Web of Science ®Google Scholar
• Patterson , H. D. and Thompson , R. 1971 . Recovery of interblock information when cell sizes are unequal . Biometrika , 58 : 545 – 554 .
   Web of Science ®Google Scholar
• Perry , M. B. 2010 . Identifying the time of polynomial drift in the mean of autocorrelated processes . Qual. Reliab. Eng. Int. , 25 : 399 – 415 .
   Google Scholar
• Perry , M. B. , Kharoufeh , J. P. , Shekhar , S. , Cai , J. and Shankar , M. R. Statistical characterization of nanostructured materials from severe plastic deformation in machining . IIE Trans. , (2011), to appear
   Google Scholar
• Perry , M. B. and Pignatiello , J. J. Jr. 2006 . Estimating the change point of a normal process mean with a linear trend disturbance in SPC . Qual. Technol. Quant. Manag. , 3 : 325 – 334 .
   Google Scholar
• Perry , M. B. and Pignatiello , J. J. Jr. 2008 . A change point model for the location parameter of exponential family densities . IIE Trans. , 47 : 947 – 956 .
   Google Scholar
• Perry , M. B. and Pignatiello , J. J.J. Jr. 2009 . Identifying the time of a step change in the mean of autocorrelated processes . J. Appl. Stat. , 37 : 119 – 136 .
   Google Scholar
• Pignatiello , J. J. Jr. and Samuel , T. R. 2001 . Estimation of the change point of a normal process mean in SPC applications . J. Qual. Technol. , 33 : 82 – 95 .
   Web of Science ®Google Scholar
• Rassoul , N. and Shadman , A. 2009 . Estimating the change point of a normal process mean with a monotonic change . Qual. Reliab. Eng. Int. , 25 : 79 – 90 .
   Google Scholar
• Roberts , S. W. 1959 . Control chart tests based on geometric moving averages . Technometrics , 1 : 239 – 250 .
   Google Scholar
• Roes , K. C. and Does , R. J.M. 1995 . Shewhart-type charts in nonstandard situations . Technometrics , 37 : 15 – 40 .
   Web of Science ®Google Scholar
• Samuel , T. R. , Pignatiello , J. J. Jr. and Calvin , J. A. 1998 . Identifying the time of a step change with Xbar control charts . Qual. Eng. , 10 : 521 – 527 .
   Google Scholar
• Verbeke , G. and Molenberghs , G. 2000 . Linear Mixed Models for Longitudinal Data , New York : Springer .
   Google Scholar
• Woodall , W. H. and Thompson , E. V. 1995 . Statistical process control with several components of common cause variability . IIE Trans. , 27 : 757 – 764 .
   Web of Science ®Google Scholar
• Yashchin , E. 1994 . Monitoring variance components . Technometrics , 36 : 379 – 393 .
   Web of Science ®Google Scholar