816
Views
43
CrossRef citations to date
0
Altmetric
Original Articles

Recent Advances in Process Monitoring: Nonparametric and Variable-Selection Methods for Phase I and Phase II

REFERENCES

  • Albers, W., Kallenberg, W. C. (2004). Are estimated control charts in control?Statistics, 38:67–79.
  • Apley, D. W., Lee, H. C. (2003). Design of exponentially weighted moving average control charts for autocorrelated processes with model uncertainty. Technometrics, 45:187–198.
  • Apley, D. W., Shi, J. (1998). Diagnosis of multiple fixture faults in panel assembly. ASME Journal of Manufacturing Science and Engineering, 120:793–801.
  • Bell, R. C., Jones-Farmer, L. A., Billor, N. (2013). A distribution-free multivariate phase I location control chart for subgrouped data from elliptical distributions. Technometrics. (forthcoming)
  • Bersimis, S., Psarakis, S., Panaretos, J. (2007). Multivariate statistical process control charts: an overview. Quality and Reliability Engineering International, 23:517–543.
  • Capizzi, G., Masarotto, G. (2008). Practical design of generalized likelihood control charts for autocorrelated data. Technometrics, 50:357–370.
  • Capizzi, G., Masarotto, G. (2009). Bootstrap-based design of residual control charts. IIE Transactions, 41:275–286.
  • Capizzi, G., Masarotto, G. (2010a). Combined Shewhart-EWMA control charts with estimated parameters. Journal of Computation and Simulation, 80:793–807.
  • Capizzi, G., Masarotto, G. (2010b). Self-Starting CUSCORE control charts for individual multivariate observations. Journal of Quality Technology, 42:136–151.
  • Capizzi, G., Masarotto, G. (2011). A least angle regression control chart for multidimensional data. Technometrics, 53:285–296.
  • Capizzi, G., Masarotto, G. (2012a). Adaptive generalized likelihood ratio control charts for detecting unknown patterned mean shifts. Journal of Quality Technology, 44:281–303.
  • Capizzi, G., Masarotto, G. (2012b). Nonparametric design of phase I control charts with or without sensitizing run rules. Proceeding of the 2012 IEEE International Conference on Industrial Engineering and Engineering Management, December 10–13, Hong Kong.
  • Capizzi, G., Masarotto, G. (2013a). Comparison of Phase II control charts based on variable selection methods. 11th International Workshop on Intelligent Statistical Quality Control, August 20–23, Sydney, Australia.
  • Capizzi, G., Masarotto, G. (2013b). Efficient control chart calibration by simulated stochastic approximation. 11th International Workshop on Intelligent Statistical Quality Control, August 20–23, Sydney, Australia.
  • Capizzi, G., Masarotto, G. (2013c). Phase I distribution-free analysis of univariate data. Journal of Quality Technology, 45:273–284.
  • Chakraborti, S. (2007). Nonparametric control charts. In Ruggeri, F., Kenett, R., Faltin, F., Eds. Encyclopedia of Statistics in Quality and Reliability, New York: Wiley, 415–429.
  • Chakraborti, S. (2011). Nonparametric (distribution-free) quality control charts. In Kotz, S., Read, C. B., Balakrishnan, N., Vidakovic, B., Eds. Encyclopedia of Statistical Sciences, New York: Wiley, 1–27.
  • Chakraborti, S., Human, S., Graham, M. (2009). Phase I statistical process control charts: An overview and some results. Quality Engineering, 21:52–62.
  • Chakraborti, S., Van Der Laan, P., Bakir, S. T. (2001). Non parametric control charts: An overview and some results. Journal of Quality Technology 33:304–315.
  • Champ, C. W., Chou, S.-P. (2003). Comparison of standard and individual limits phase I shewhart , , charts. Quality and Reliability Engineering International, 19:161–170.
  • Champ, C. W., Jones, L. A. (2004). Designing phase I charts with small sample sizes. Quality and Reliability Engineering International, 20:497–510.
  • Chen, J., Gupta, A. K. (2011). Parametric statistical change point analysis: with applications in genetics, medicine, and finance. 2nd ed. New York: Birkhäuser.
  • Chen, Y., Birch, J. Y. B., Woodall, W. H. (2014). Cluster-based profile monitoring in phase I analysis. Journal of Quality Technology. (forthcoming)
  • Colosimo, B. M., Pacella, M. (2007). On the use of principal component analysis to identify systematic patterns in roundness profiles. Quality and Reliability Engineering International, 23:707–725.
  • Conover, W. (1999). Practical Nonparametric Statistics. 3rd ed. New York: Wiley.
  • Crosier, R. B. (1988). Multivariate generalizations of cumulative sum quality-control schemes. Technometrics, 30:291–303.
  • Ding, Y., Zeng, L., Zhou, S. (2006). Phase I analysis for monitoring nonlinear profiles in manufacturing processes. Journal of Quality Technology, 38:199–216.
  • Efron, E., Hastie, T., Johnstone, I., Tibshirani, R. (2004). Least angle regression. The Annals of Statistics, 32:407–499.
  • Ferrer, A. (2014). Latent structures-based multivariate statistical process control: a paradigm shift. Quality Engineering, 41:72–91.
  • Fraker, S. E., Woodall, W. H., Mousavi, S. (2008). Performance metrics for surveillance schemes. Quality Engineering, 20:451–464.
  • Gandy, A., Kvaløy, J. T. (2013). Guaranteed conditional performance of control charts via bootstrap methods. Scandinavian Journal of Statistics, 40:647–668.
  • Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses. 3re ed.New York: Springer.
  • Graham, M. A., Human, S. W., Chakraborti, S. (2010). A Phase I nonparametric shewhart-type control chart based on the median. Journal of Applied Statistics, 37:1795–1813.
  • Harnish, P., Nelson, B., Runger, G. (2009). Process partitions from time-ordered clusters. Journal of Quality Technology, 41:3–17.
  • Hawkins, D. M. (1987). Self-Starting CUSUM charts for location and scale. The Statistician, 36:299–315.
  • Hawkins, D. M. (1991). Multivariate quality control based on regression-adjusted variables. Technometrics, 33:61–75.
  • Hawkins, D. M. (1993). Regression adjustment for variables in multivariate quality control. Journal of Quality Technology, 25:170–182.
  • Hawkins, D. M. (2001). Fitting multiple change-point models to data. Computational Statistics & Data Analysis, 37:323–341.
  • Hawkins, D. M., Maboudou-Tchao, E. M. (2007). Self-starting Multivariate exponentially weighted moving average control charting. Technometrics 49:199–209.
  • Hillier, F. (1969). and R-chart control limits based on a small number of subgroups. Journal of Quality Technology, 1:17–26.
  • Hinkley, D. V. (1970). Inference about the change-point in a sequence of random variables. Biometrika, 57:1–17.
  • Holland, M. D., Hawkins, D. M. (2014). A control chart based on a nonparametric multivariate change-point model. Journal of Quality Technology, 46:63–77.
  • Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics, 6:65–70.
  • Hotelling, H. (1947). Multivariate quality control—illustrated by the air testing of sample bombsights. In Eisenhart, C., Hastay, M. W., Wallis, W., Eds. Techniques of Statistical Analysis. New York: McGraw-Hill: 111–184.
  • Huang, Q., Shi, J. (2004). Variation transmission analysis and diagnosis of multi-operational machining processes. IIE TransactionS on Quality and Reliability, 36:807–815.
  • Huang, Q., Zhou, F., Shi, J. (2002). Diagnosis of multi-operational machining processes through variation propagation analysis. Robotics and Computed Integrated Manufacturing Journal, 18:233–239.
  • Jensen, W. A., Birch, J. B., Woodall, W. H. (2007). High breakdown estimation methods for phaseI multivariate control charts. Quality and Reliability Engineering International, 23:615–629.
  • Jensen, W. A., Jones-Farmer, L. A., Champ, C. W., and Woodall, W. H. (2006). Effects of parameter estimation on control charts properties: a literature review. Journal of Quality Technology, 38:349–364.
  • Jiang, W., Wang, K., Tsung, F. (2012). A variable-selection-based multivariate EWMA chart for process monitoring and diagnosis. Journal of Quality Technology, 44:209–230.
  • Jin, J., Shi, J. (1999). State space modeling of sheet metal assembly for dimensional control. ASME Transactions, Journal of Manufacturing Science and Engineering, 121:756–762.
  • Jones, L. A. (2002). The Statistical Design of EWMA Control Charts with Estimated Parameters. Journal of Quality Technology, 34:277–288.
  • Jones, L. A., Champ, C. W. (2002). Phase I control charts for times between events. Quality and Reliability Engineering International, 18:479–488.
  • Jones-Farmer, L. A., Champ, C. W. (2010). A distribution-free phase I control chart for subgroup scale. Journal of Quality Technology, 42:373–387.
  • Jones-Farmer, L. A., Jordan, V., Champ, C. W. (2009). Distribution-free phase I control charts for subgroup location. Journal of Quality Technology, 41:304–316.
  • Jones-Farmer, L. A., Woodall, W. H., Steiner, S. H., Champ, C. W. (2014). An overview of phase I analysis for process improvement and monitoring. Journal of Quality Technology, 46: 265–280.
  • Kang, L., Albin, S. (2000). On-line monitoring when the process yields a linear profile. Journal of Quality Technology, 32:418–426.
  • Khoo, M. B., Teoh, W., Castagliola, P., Lee, M. (2013). Optimal designs of the double sampling chart with estimated parameters. International Journal of Production Economics, 144:345–357.
  • Kim, K., Mahmoud, M. A., Woodall, W. (2003). On the monitoring of linear profiles. Journal of Quality Technology, 35:317–328.
  • Koutras, M. V., Bersimis, S., Maravelakis, P. E. (2007). Statistical process control using shewhart control charts with supplementary runs rules. Methodology and Computing in Applied Probability 9:207–224.
  • Lehmann, E. L., Romano, J. P. (2005). Testing Statistical Hypotheses. 3rd ed.New York: Springer.
  • Li, B., Wang, K., Yeh, A. B. (2013). Monitoring the covariance matrix via penalized likelihood estimation. IIE Transactions, 45:132–146.
  • Liu, J. (2010). Variation reduction for multistage manufacturing processes: a comparison survey of statistical-process-control vs stream-of-variation methodologies. Quality and Reliability Engineering International, 26:645–661.
  • Lowry, C. A., Woodall, W. H., Champ, C. W., Rigdon, S. E. (1992). A multivariate exponentially weighted moving average control chart. Technometrics, 34:46–53.
  • Maboudou-Tchao, E. M., Agboto, V. (2013). Monitoring the covariance matrix with fewer observations than variables. Computational Statistics & Data Analysis, 64:99–112.
  • Maboudou-Tchao, E. M., Hawkins, D. M. (2011). Self-starting multivariate control charts for location and scale. Journal of Quality Technology, 43:113–126.
  • Mahmoud, M. A., Henderson, R. G., Epprecht, E. K., Woodall, W. H. (2010). Estimating the standard deviation in quality-control applications. Journal of Quality Technology, 42:348–357.
  • Mahmoud, M. A., Parker, P. A., Woodall, W. H., Hawkins, D. M. (2007). A change-point method for linear profile data. Quality and Reliability Engineering International, 23:247–268.
  • Mahmoud, M. A., Woodall, W. (2004). Phase I analysis of linear profiles with calibration applications. Technometrics, 46:380–391.
  • Maragah, H. D., Woodall, W. H. (1992). The effect of autocorrelation on the retrospective X-chart. Journal of Statistical Computation and Simulation, 40:29–42.
  • Mast, J. D., Roes, K. C. B. (2004). Robust individuals control chart for exploratory analysis. Quality Engineering, 16:407–421.
  • Mei, Y. (2008). Is average run length to false alarm always an informative criterion?Sequential Analysis, 16:354–376.
  • Montgomery, D. C. (2009). Introduction to Statistical Quality Control. 6th ed.New York: Wiley.
  • Nedumaran, G., Pignatiello, J., Jr, Runger, G., (2005). On consecutive retrospective control chart limits. Quality and Reliability Engineering International, 21:81–89.
  • Noorossana, R., Saghaei, A., Amiri, A. (2011). Statistical Analysis of Profile Monitoring. New York: Wiley.
  • Pesarin, F. (2001). Multivariate Permutation Tests : With Applications in Biostatistic. New York: Wiley.
  • Qiu, P. (2008). Distribution-free multivariate process control based on log-linear modeling. IIE Transactions, 40:664–677.
  • Qiu, P. (2013). Introduction to Statistical Process Control. Boca Raton, FL: Chapman & Hall.
  • Qiu, P., Zou, C. (2010). Control chart for monitoring nonparametric profiles with arbitrary design. Statistica Sinica, 20:1655–1682.
  • Qiu, P., Zou, C., Wang, Z. (2010). Nonparametric profile monitoring by mixed effects modeling (with discussion). Technometrics, 52:265–277.
  • Quesenberry, C. P. (1991). SPC Q charts for start-up processes and short or long runs. Journal of Quality Technology, 23:213–224.
  • R Development Core Team., (2013). R: A Language and Environment for Statistical Computing. Vienna, Austria: The R Foundation for Statistical Computing.
  • Saleh, N. A., Mahmoud, M. A., Keefe, M. J., Woodall, W. H. (2014). The difficulty in designing shewhart , control charts with estimated parameters. Journal of Quality Technology. (forthcoming)
  • Schoonhoven, M., Does, R. J. M. M. (2012). A robust standard deviation control chart. Technometrics, 54:73–82.
  • Schoonhoven, M., Nazir, H. Z., Riaz, M., Does, R. J. M. M. (2011a). Robust location estimators for the control chart. Journal of Quality Technology, 43:363–379.
  • Schoonhoven, M., Riaz, M., Does, R. J. M. M. (2011b). Design and analysis of control charts for standard deviation with estimated parameters. Journal of Quality Technology, 43:307–333.
  • Shewhart, W. A. (1931). Economic Control of Quality of Manufactured Product. New York: D. Van Nostrand Company.
  • Shewhart, W. A. (1939). Statistical Method From the Viewpoint of Quality Control. New York: Dover Publications.
  • Shi, J. (2006). Stream of Variation Modeling and Analysis for Multistage Manufacturing. Boca Raton, FL. CRC Press.
  • Shi, J., Zhou, S. (2009). Quality control and improvement for multistage systems: a survey. IIE Transactions, 41:744–753.
  • Shiau, J. J. H., Sun, J. H. (2009). A new strategy for phase I analysis in SPC. Quality and Reliability Engineering International, 26:475–486.
  • Sullivan, J. H. (2002). Detection of multiple change points from clustering individual observations. Journal of Quality Technology 34:371–383.
  • Sullivan, J. H., Jones, L. A. (2002). A self-starting control chart for multivariate individual observations. Technometrics, 44:24–33.
  • Sullivan, J. H., Woodall, W. H. (1996). A control chart for preliminary analysis of individual observations. Journal of Quality Technology, 28:265–278.
  • Tibshirani, R. J. (1996). Regression shrinkage and selection via the LASSO. Journal of the Royal Statistical Society, Series B, 58:267–288.
  • Variyath, A. M., Vattathoor, J. (2013). Robust control charts for monitoring process mean of phase-I multivariate individual observations. Journal of Quality and Reliability Engineering., 2013:1–14.
  • Wang, K., Jiang, W. (2009). High-dimensional process monitoring and fault isolation via variable selection. Journal of Quality Technology, 41:247–258.
  • Williams, W., Birch, J. B., Woodall, W. H., Ferry, N. M. (2007a). Statistical monitoring of heteroscedastic dose-response profiles from high-throughput screening. Journal of Agricultural, Biological and Environmental Statistics 12:216–235.
  • Williams, W., Woodall, W. H., Birch, J. B. (2007b). Statistical monitoring of nonlinear product and process quality profiles. Quality and Reliability Engineering International, 23:925–941.
  • Woodall, W. H. (2000). Controversies and contradictions in statistical process control. Journal of Quality Technology, 32:341–350.
  • Woodall, W. H. (2007). Current research on profile monitoring. Produção, 17:420–425.
  • Woodall, W. H., Montgomery, D. C. (2014). Some current directions in the theory and application of statistical process monitoring. Journal of Quality Technology, 46:78–94.
  • Woodall, W. H., Spitzner, D. J., Montgomery, D. C., Gupta, S. (2004). Using control charts to monitor process and product quality profiles. Journal of Quality Technology, 36:309–320.
  • Xiang, L., Tsung, F. (2008). Statistical monitoring of multi-stage processes based on engineering models. IIE Transactions, 40:957–970.
  • Yang, C., Hillier, F. (1970). Mean and variance control chart limits based on a small number of subgroups. Journal of Quality Technology, 32:341–350.
  • Zantek, P. F. (2008). A markov-chain method for computing the run-length distribution of the self-starting cumulative sum scheme. Journal of Statistical Computation and Simulation, 78:463–473.
  • Zantek, P. F., Gordon, P. W., Plante, R. D. (2006). A self-starting procedure for monitoring process quality in multistage manufacturing processes. IIE Transactions, 38:293–308.
  • Zantek, P. F., Li, S., Chen, Y. (2007). Detecting multiple special causes from multivariate data with applications to fault detection in manufacturing. IIE Transactions, 39:771–782.
  • Zhang, C. W., Xie, M., Jin, T. (2012). An improved self-starting cumulative count of conforming chart for monitoring high-quality processes under group inspection. International Journal of Production Research, 50:7026–7043.
  • Zhang, H., Albin, S. L., Wagner, S. R., Nolet, D. A., Gupta, S. (2010). Determining statistical process control baseline periods in long historical data streams. Journal of Quality Technology 42:21–35.
  • Zhou, C., Huang, Q., Shi, J. (2003). State-space modeling of dimensional variation propagation in multistage machining process using differential motion vector. IEEE Transactions on Robotics and Automation, 19:296–309.
  • Zhou, S., Ding, Y., Chen, Z. (2003). Diagnosibility study of multistage manufacturing process based on linear mixed-effects models. Technometrics, 45:312–325.
  • Zou, C., Ning, X., Tsung, F. (2010). LASSO-based multivariate linear profile monitoring. Annals of Operation Research, 192:3–19.
  • Zou, C., Qiu, P. (2009). Multivariate statistical process control using LASSO. Journal of American Statistical Association, 104:1586–1596.
  • Zou, C., Qiu, P., Hawkins, D. (2009). Nonparametric control chart for monitoring profiles using change point formulation and adaptive smoothing. Statistica Sinica, 19:1337–1357.
  • Zou, C., Tsung, F. (2008). Directional MEWMA schemes for multistage process monitoring and diagnosis. Journal of Quality Technology, 40:407–427.
  • Zou, C., Tsung, F. (2011). A multivariate sign EWMA control chart. Technometrics, 53:84–97.
  • Zou, C., Tsung, F., Wang, Z. (2007). Monitoring general linear profiles using multivariate exponentially weighted moving average schemes. Technometrics, 49:395–408.
  • Zou, C., Tsung, F., Wang, Z. (2008). Monitoring profiles based on nonparametric regression methods. Technometrics, 50:512–526.
  • Zou, C., Zhou, C., Wang, Z. (2007). A self-starting control chart for linear profiles. Journal of Quality Technology, 39:364–375.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.