Control chart for monitoring nonparametric profiles with arbitrary design

Statistica Sinica

Volumn 20, Issue 4, 2010, Pages 1655-1682

  Qiu, Peihua ^a   Zou, Changliang ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b NANKAI UNIVERSITY   (China)

Author keywords

Bandwidth selection; EWMA; Local linear kernel smoothing; Nonparametric regression; Profile monitoring; Self starting; Statistical process control

Indexed keywords

EID: 78349236171     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. Capizzi, G. and Masarotto, G. (2003). An adaptive exponentially weighted moving average control chart. Technometrics 45, 199-207.
2. Colosimo, B. M. and 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.
3. De Jong, P. (1987). A central limit theorem for generalized quadratic forms. Probab. Theory Related Fields 75, 261-277.
4. Ding, Y., Zeng, L. and Zhou, S. (2006). Phase I analysis for monitoring nonlinear profiles in manufacturing processes. Journal of Quality Technology 38, 199-216.
5. Fan, J. and Gijbels, I. (1996). Local Polynomial Modeling and Its Applications. London: Chapman and Hall.
6. Fan, J. and Marron, S. (1994). Fast implementation of nonparametric curve estimators. Journal of Computational and Graphical Statistics 3, 35-56.
7. Han, D. and Tsung, F. (2006). A reference-free cuscore chart for dynamic mean change detection and a unified framework for charting performance comparison. J. Amer. Statist. Assoc. 101, 368-386.
8. Hart, J. D. (1997). Nonparametric Smoothing and Lack-of-Fit Tests. Springer, New York.
9. Hawkins, D. M. (1987). Self-starting CUSUM charts for location and scale. The Statistician 36, 299-316.
10. Hawkins, D. M. and Maboudou-Tchao, E. M. (2007). Self-starting multivariate exponentially weighted moving average control charting. Technometrics 49, 199-209.
11. Hawkins, D. M. and Olwell, D. H. (1998). Cumulative Sum Charts and Charting for Quality Improvement. Springer, New York.
12. Hawkins, D. M., Qiu, P. and Kang, C. W. (2003). The changepoint model for statistical process control. J. Quality Tech. 35, 355-366.
13. Horowitz, J. L. and Spokoiny, V. G. (2001). An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative. Econometrica 69, 599-631.
14. Jensen, W. A., Jones, L. A., Champ, C. W. and Woodall, W. H. (2006). Effects of parameter estimation on control chart properties: a literature review. J. Quality Tech. 38, 349-364.
15. Jones, L. A. (2002). The statistical design of EWMA control charts with estimated parameters. J. Quality Tech. 34, 277-288.
16. Kang, L. and Albin, S. L. (2000). On-line monitoring when the process yields a linear profile. J. Quality Tech. 32, 418-426.
17. Kazemzadeh, R. B., Noorossana, R. and Amiri, A. (2008). Phase I monitoring of polynomial profiles. Comm. Statist. Theory Methods 37, 1671-1686.
18. Kim, K., Mahmoud, M. A. and Woodall, W. H. (2003). On the monitoring of linear profiles. J. Quality Tech. 35, 317-328.
19. Lada, E. K., Lu, J.-C. and Wilson, J. R. (2002). A wavelet-based procedure for process fault detection. IEEE Trans. Semiconductor Manufacturing 15, 79-90.
20. Lucas, J. M. and Saccucci, M. S. (1990). Exponentially weighted moving average control scheme properties and enhancements. Technometrics 32, 1-29.
21. Mahmoud, M. A., Parker, P. A., Woodall, W. H. and Hawkins, D. M. (2007). A change point method for linear profile data. Quality and Reliability Engineering International 23, 247-268.
22. Mahmoud, M. A. and Woodall, W. H. (2004). Phase I analysis of linear profiles with calibration applications. Technometrics 46, 380-391.
23. Rauf, S., Dauksher, W. J., Clemens, S. B. and Smith, K. H. (2002). Model for a multiple-step deep Si etch process. J. Vacuum Science and Tech. A 20, 1177-1190.
24. Seifert, B., Brockmann, M., Engel, J. and Gasser, T. (1994). Fast algorithms for nonparametric estimation. J. Comput. Graph. Statist. 3, 192-213.
25. Walker, E. and Wright, S. P. (2002). Comparing curves using additive models. J. Quality Tech. 34, 118-129.
26. Williams, J. D., Birch, J. B., Woodall. W. H. and Ferry, N. M. (2007). Statistical monitoring of heteroscedastic dose-response profiles from high-throughput screening. Journal of Agricultural, Biological, and Environmental Statistics 12, 216-235.
27. Williams, J. D., Woodall, W. H. and Birch, J. B. (2007). Statistical monitoring of nonlinear product and process quality profiles. Quality and Reliability Engineering International 23, 925-941.
28. Woodall, W. H., Spitzner, D. J., Montgomery, D. C. and Gupta, S. (2004). Using control charts to monitor process and product quality profiles. J. Quality Tech. 36, 309-320.
29. Zhou, R., Zhang, H., Hao, Y. and Wang, Y. (2004). Simulation of the bosch process with a string-cell hybrid method. J. Micromechanics and Microengineering 14, 851-858.
30. Zou, C., Qiu, P. and Hawkins, D. (2009). Nonparametric control chart for monitoring profiles using the change point formulation. Statist. Sinica 19, 1337-1357.
31. Zou, C., Tsung, F. and Wang, Z. (2007). Monitoring general linear profiles using multivariate EWMA schemes. Technometrics 49, 395-408.
32. Zou, C., Tsung, F. and Wang, Z. (2008). Monitoring profiles based on nonparametric regression methods. Technometrics 50, 512-526.
33. Zou, C., Zhang, Y. and Wang, Z. (2006). Control Chart Based on Change-Point Model for Monitoring Linear Profiles. IIE Transactions 38, 1093-1103.
34. Zou, C., Zhou, C., Wang, Z. and Tsung, F. (2007). A self-starting control chart for linear profiles. J. Quality Tech. 39, 364-375.