References
- Alwan, L.C., Roberts, H.V. (1988). Time series modeling for statistical process control. J. Bus. Econ. Stat. 6:87–95.
- Colosimo, B.M., Pacella, M. (2007). On the use of principal component analysis to identify systematic patterns in roundness profiles. Qual. Reliab. Eng. Int. 23:707–725.
- Ding, Y., Zeng, L., Zhou, S. (2006). Phase I analysis for monitoring nonlinear profiles in manufacturing processes. J. Qual. Technol. 38:199–216.
- Eyvazian, M., Noorossana, R., Saghaei, A., Amiri, A. (2011). Phase II monitoring of multivariate multiple linear regression profiles. Qual. Reliab. Eng. Int. 27:281–296.
- Gupta, S., Montgomery, D.C., Woodall, W.H. (2006). Performance evaluation of two methods for online monitoring of linear calibration profiles. Int. J. Prod. Res. 44:1927–1942.
- Harris, T.J., Ross, W.H. (1991). Statistical process control procedures for correlated observation. Can. J. Chem. Eng. 69:48–57.
- Jensen, W.A., Birch, J.B. (2009). Profile monitoring via nonlinear mixed models. J. Qual. Technol. 41:18–34.
- Jensen, W.A., Birch, J.B., Woodall, W.H. (2008). Monitoring correlation within linear profiles using mixed models. J. Qual. Technol. 40:167–183.
- Johnson, R.A., Wichern, D.W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Upper Saddle River, NJ: Prentice Hall.
- Kang, L., Albin, S.L. (2000). On-line monitoring when the process yields a linear profile. J. Qual. Technol. 32:418–426.
- Kim, K., Mahmoud, M.A., Woodall, W.H. (2003). On the monitoring of linear profiles. J. Qual. Technol. 35:317–328.
- Mahmoud, M.A. (2008). Phase I analysis of multiple linear regression profiles. Commun. Stat. Simul. Comput. 37:2106–2130.
- Mahmoud, M.A., Parker, P.A., Woodall, W.H., Hawkins, D.M. (2007). A change point method for linear profile data. Qual. Reliab. Eng. Int. 23:247–268.
- Mahmoud, M.A., Woodall, W.H. (2004). Phase I analysis of linear profiles with calibration applications. Technometrics 46:380–391.
- Masterangelo, C.M., Forrest, D.R. (2002). Multivariate autocorrelated processes: Data and shift generation. J. Qual. Technol. 34:216–220.
- Mestek, O., Pavlik, J., Suchánek, M. (1994). Multivariate control charts: Control charts for calibration curves. Fresenius J. Anal. Chem. 350:344–351.
- Montgomery, D.C. (2008). Introduction to Statistical Quality Control (6th ed.). Hoboken, NJ: Wiley.
- Niaki, S.T. A., Abbasi, B., Arkat, J. (2007). A generalized linear statistical model approach to monitor profiles. Int. J. Eng. Trans. A Basics 20:233–242.
- Noorossana, R., Amiri, A., Soleimani, P. (2008). On the monitoring of autocorrelated linear profiles. Commun. Stat. Theory Methods 37:425–442.
- Noorossana, R., Eyvazian, M., Amiri, A., Mahmoud, M.A. (2010). Statistical monitoring of multivariate multiple linear regression profiles in phase I with calibration application. Qual. Reliab. Eng. Int. 26:291–303.
- Pearson, K. (1901). On line and planes of closest fit to systems of points in space. Philos. Mag. 6:559–572.
- Pignatiello, J.J., Runger, G.C. (1990). Comparisons of multivariate CUSUM charts. J. Qual. Technol. 22:173–186.
- Qiu, P., Zou, C., Wang, Z. (2010). Nonparametric profile monitoring by mixed effects modeling (with discussions). Technometrics 52:265–277.
- Rencher, A.C. (1998). Multivariate Statistical Inference and Applications. New York: Wiley.
- Schabenberger, O., Pierce, F.J. (2002). Contemporary Statistical Models for the Plant and Soil Sciences. Boca Raton, FL: CRC Press.
- Shiau, J.H., Huang, H., Lin, S., Tsai, M. (2009). Monitoring nonlinear profiles with random effects by nonparametric regression. Commun. Stat. Theory Methods 38:1664–1679.
- Soleimani, P., Noorossana, R., Amiri, A. (2009). Simple linear profiles monitoring in the presence of within profile autocorrelation. Comput. Ind. Eng. 57:1015–1021.
- Stover, F.S., Brill, R.V. (1998). Statistical quality control applied to ion chromatography calibrations. J. Chromatogr. A 804:37–43.
- Sullivan, J.H. (2002). Detection of multiple change points from clustering individual observations. J. Qual. Technol. 34:371–383.
- Vasilopoulos, A.V., Stamboulis, A.P. (1978). Modification of control chart limits in the presence of data correlation. J. Qual. Technol. 10:20–30.
- Williams, J.D., Woodall, W.H., Birch, J.B. (2007). Statistical monitoring of nonlinear product and process quality profiles. Qual. Reliab. Eng. Int. 23:925–941.
- Zhang, J., Li, Z., Wang, Z. (2009). Control chart based on likelihood ratio for monitoring linear profiles. Comput. Stat. Data Anal. 53:1440–1448.
- Zhang, Y., He, Z., Zhang, C., Woodall, W.H. (2014). Control charts for monitoring linear profiles with within-profile correlation using Gaussian process models. Qual. Reliab. Eng. Int. 30:487–501. doi: 10.1002/qre.1502
- Zou, C., Tsung, F., Wang, Z. (2007). Monitoring general linear profiles using multivariate exponentially weighted moving average schemes. Technometrics 49:395–408.
- Zou, C., Zhang, Y., Wang, Z. (2006). A control chart based on a change-point model for monitoring linear profiles. IIE Trans. 38:1093–1103.