Using vector autoregressive residuals to monitor multivariate processes in the presence of serial correlation

Akaike, 1976, Canonical correlations analysis of time series and the use of an information criterion Alt, 1984, Multivariate quality control, The Encyclopedia of Statistical Sciences, 110 Alwan, 1992, Effects of autocorrelation on control charts, Communications in Satistics—Theory and Methods, 21, 1025, 10.1080/03610929208830829 Alwan, 1988, Time-series modeling for detecting level shifts of autocorrelated processes, Journal of Business and Economics Statistics, 6, 87 Aparisi, 2003, A Comparison of T2 control charts with variable sampling schemes as opposed to MEWMA chart, International Journal of Production Economics, 41, 2169, 10.1080/0020754031000138655 Box, 1992, Statistical process monitoring and feedback adjustment—A discussion, Technometrics, 34, 251, 10.2307/1270028 Dale, 2001, Fad, fashion and fit: An examination of quality circles, business process re-engineering and statistical process control, International Journal of Production Economics, 73, 137, 10.1016/S0925-5273(00)00165-1 English, 1991, Quality monitoring of continuous flow processes, Computers and Industrial Engineering, 20, 251, 10.1016/0360-8352(91)90029-6 Ermer, 1979, A time series control chart for a nuclear reactor Hannan, 1979, Determination of the order of an autoregression, Journal of The Royal Statistical Society Series B-Methodological, 41, 190 Harris, 1991, Statistical process control procedures for correlated observations, Canadian Journal of Chemical Engineering, 69, 48, 10.1002/cjce.5450690106 Holmes, 2005, Effect of multivariate process on principal component analysis: A case study, The AAPS Journal, 7, 106, 10.1208/aapsj070111 Hotelling, 1947, Multivariate quality control Jackson, 1985, Multivariate quality control, Communications in Satistics—Theory and Methods, 14, 2657, 10.1080/03610928508829069 Jarrett, J.E., Pan, X., 2006. The quality control chart for monitoring multivariate autocorrelated processes. Computational Statistics and Data Analysis, in press, Corrected Proof, Available online 30 March 2006. Jiang, 2000, A new SPC monitoring method: The ARMA chart, Technometrics, 42, 399, 10.1080/00401706.2000.10485713 Kramer, 1997, EWMA charts for multivariate time series, Sequential Analysis, 16, 131, 10.1080/07474949708836378 Lowry, 1992, A multivariate exponentially weighted moving average control chart, Technometrics, 34, 46, 10.2307/1269551 Lowry, 1995, A review of multivariate control charts, IIE Transactions, 27, 800, 10.1080/07408179508936797 Lu, 1999, Control charts for monitoring the mean and variance of autocorrelated processes, Journal of Quality Technology, 31, 259, 10.1080/00224065.1999.11979925 Mason, 1995, Decomposition of T2 for multivariate control charts interpretation, Journal of Quality Technology, 27, 99, 10.1080/00224065.1995.11979573 Montgomery, 1991, Some statistical process control methods for autocorrelated data, Journal of Quality Technology, 23, 179, 10.1080/00224065.1991.11979321 Pan, 2006, A simple method using cuscore to monitor and detect coefficient changes in ARMA residuals, Communications in Statistics—Simulation and Computation, 35, 10.1080/03610910600591388 Pan, 2004, Applying state space to SPC: Monitoring multivariate time series, Journal of Applied Statistics, 31, 397, 10.1080/02664760410001681701 Shiau, 2003, Inspection allocation planning for a multiple quality characteristic advanced manufacturing system, Advanced Manufacturing Technology, 21, 494, 10.1007/s001700300058 Tagaras, 1998, A Survey of recent developments in the design of adaptive control charts, Journal of Quality Technology, 30, 212, 10.1080/00224065.1998.11979850 Testik, 2005, Model inadequacy and residuals control charts for autocorrelated processes, Quality and Reliability Engineering International, 21, 115, 10.1002/qre.611 Villalobos, 2005, Using fixed and adaptive multivariate SPC charts for online SMD assembly monitoring, International Journal of Production Economics, 95, 109, 10.1016/j.ijpe.2003.11.011 Wardell, 1992, Control charts in presence of data correlation, Management Science, 38, 1084, 10.1287/mnsc.38.8.1084 West, 2002, Transfer function modeling of processes with dynamic inputs, Journal of Quality Technology, 34, 315, 10.1080/00224065.2002.11980161 Wierda, 1994, Multivariate statistical process control: recent results and directions for future researches, Stastica Neerlandica, 48, 147, 10.1111/j.1467-9574.1994.tb01439.x Yang, 2005, Economic statistical process control for multivariate quality characteristics under Weibull shock model, International Journal of Production Economics, 98, 215, 10.1016/j.ijpe.2004.05.014 Yeh, 2004, A likelihood-ratio-based EWMA chart for monitoring variability of multivariate normal processes, IIE Transactions, 36, 865, 10.1080/07408170490473042