Statistical monitoring of multivariate multiple linear regression profiles in phase i with calibration application

Quality and Reliability Engineering International

Volumn 26, Issue 3, 2010, Pages 291-303

  Noorossana, R ^a   Eyvazian, M ^a   Amiri, Amirhossein ^b   Mahmoud, Mahmoud A ^c  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

^b SHAHED UNIVERSITY   (Iran)

^c Cairo University   (Egypt)

Author keywords

Calibration; Multivariate multiple regression; Phase I; Principal components analysis; Statistical process control

Indexed keywords

CORRELATION STRUCTURE; EXPLANATORY VARIABLES; IN-PHASE; LANGLEY RESEARCH CENTERS; LINEAR FUNCTIONS; MULTIPLE LINEAR REGRESSIONS; MULTIPLE REGRESSIONS; NATIONAL AERONAUTICS AND SPACE ADMINISTRATIONS; OUT-OF-CONTROL; PHASE I; PRINCIPAL COMPONENTS ANALYSIS; QUALITY CHARACTERISTIC; SIMULATION STUDIES; STATISTICAL MONITORING; STATISTICAL PROCESS;

CALIBRATION; LINEAR REGRESSION; NASA; PRINCIPAL COMPONENT ANALYSIS; PROBABILITY DENSITY FUNCTION; QUALITY CONTROL;

STATISTICAL PROCESS CONTROL;

EID: 77950675395     PISSN: 07488017     EISSN: 10991638     Source Type: Journal    
DOI: 10.1002/qre.1066     Document Type: Article

References (39)

1. Stover FS, Brill RV. Statistical quality control applied to ion chromatography calibrations. Journal of Chromatography A 1998; 804(1-2):37-43.
2. Kang L, Albin SL. On-line monitoring when the process yields a linear profile. Journal of Quality Technology 2000; 32(4):418-426.
3. Mahmoud MA, Woodall WH. Phase I analysis of linear profiles with calibration applications. Technometrics 2004; 46(4):380-391.
4. Woodall WH, Spitzner DJ, Montgomery DC, Gupta S. Using control charts to monitor process and product quality profiles. Journal of Quality Technology 2004; 36(3):309-320.
5. Wang K, Tsung F. Using profile monitoring techniques for a data-rich environment with huge sample size. Quality and Reliability Engineering International 2005; 21(7):677-688.
6. Montgomery DC. Introduction to Statistical Quality Control. Wiley: New York, 2005.
7. Woodall WH. Current research on profile monitoring. Revista Producão 2007; 17(3):420-425.
8. Zou C, Tsung F, Wang Z. Monitoring general linear profiles using multivariate exponentially weighted moving average schemes. Technometrics 2007; 49(4):395-408.
9. Kim K, Mahmoud MA, Woodall WH. On the monitoring of linear profiles. Journal of Quality Technology 2003; 35(3):317-328.
10. Noorossana R, Amiri A, Vaghefi SA, Roghanian E. Monitoring quality characteristics using linear profile. Proceedings of the 3rd International Industrial Engineering Conference, Tehran, Iran, 2004.
11. Gupta S, Montgomery DC, Woodall WH. Performance evaluation of two methods for online monitoring of linear calibration profiles. International Journal of Production Research 2006; 44(10):1927-1942.
12. Zou C, Zhang Y, Wang Z. Control chart based on change-point model for monitoring linear profiles. IIE Transactions 2006; 38(12):1093-1103.
13. Zhang J, Li Z, Wang Z. Control chart based on likelihood ratio for monitoring linear profiles. Computational Statistics and Data Analysis 2009; 53:1440-1448.
14. Saghaei A, Mehrjoo M, Amiri A. A CUSUM-based method for monitoring simple linear profiles. The International Journal of Advanced Manufacturing Technology 2009; DOI: 10.1007/s00170-009-2063-2072
15. Mahmoud MA, Morgan JP, Woodall WH. The monitoring of simple linear regression profiles with two observations per sample. Journal of Applied Statistics 2009; to appear.
16. Mestek O, Pavlik J, Suchánek M. Multivariate control charts: Control charts for calibration curves. Fresenius'. Journal of Analytical Chemistry 1994; 350(6):344-351.
17. Mahmoud MA, Parker PA, Woodall WH, Hawkins DM. A change point method for linear profile data. Quality and Reliability Engineering International 2007; 23(2):247-268.
18. Noorossana R, Amiri A, Soleimani P. On the monitoring of autocorrelated linear profiles. Communications in Statistics-Theory and Methods 2008; 37(3):425-442.
19. Soleimani P, Noorossana R, Amiri A. Simple linear profiles monitoring in the presence of within profile autocorrelation. Computers and Industrial Engineering 2009; DOI: 10.1007/j.cie.2009.04.005.
20. Noorossana R, Vaghefi SA, Amiri A. The effect of non-normality on monitoring linear profiles. Proceedings of the 2nd International Industrial Engineering Conference, Riyadh, Saudi Arabia, 2004.
21. Noorossana R, Vaghefi A, Dorri M. The effect of non-normality on performance of linear profile monitoring. Proceedings of the 2008 IEEE Industrial Engineering and Engineering Management, Singapore, 8-11 December 2008.
22. Mahmoud MA. Phase I analysis of multiple linear regression profiles. Communications in Statistics, Simulation and Computation 2008; 37(10):2106-2130.
23. Jensen WA, Birch JB, Woodall WH. Monitoring correlation within linear profiles using mixed models. Journal of Quality Technology 2008; 40(2):167-183.
24. Kazemzadeh RB, Noorossana R, Amiri A. Phase I monitoring of polynomial profiles. Communications in Statistics-Theory and Methods 2008; 37(10):1671-1686.
25. Kazemzadeh RB, Noorossana R, Amiri A. Monitoring polynomial profiles in quality control applications. The International Journal of Advanced Manufacturing Technology 2009; 42(7):703-712.
26. Kazemzadeh RB, Noorossana R, Amiri A. Phase II monitoring of autocorrelated polynomial profiles in AR(1) processes. International Journal of Science and Technology, Scientia Iranica 2009; to appear.
27. Jin J, Shi J. Feature-preserving data compression of stamping tonnage information using wavelets. Technometrics 1999; 41(4):327-339.
28. Walker E, Wright S. Comparing curves using additive models. Journal of Quality Technology 2002; 34(1):118-129.
29. Ding Y, Zeng L, Zhou S. Phase I analysis for monitoring nonlinear profiles in manufacturing processes. Journal of Quality Technology 2006; 38(3):199-216.
30. Williams JD, Woodall WH, Birch JB. Statistical monitoring of nonlinear product and process quality profiles. Quality and Reliability Engineering International 2007; 23(8):925-941.
31. Moguerza JM, Muñoz A, Psarakis S. Monitoring Nonlinear Profiles Using Support Vector Machines (Lecture Notes in Computer Science, vol.4789). Springer: Berlin, 2007; 574-583.
32. Vaghefi A, Tajbakhsh SD, Noorossana R. Phase II monitoring of nonlinear profiles. Communications in Statistics-Theory and Methods 2009; 38(11):1834-1851.
33. Jensen WA, Birch JB. Profile monitoring via nonlinear mixed model. Journal of Quality Technology 2009; 41(1):18-34.
34. Noorossana R, Eyvazian M, Vaghefi A, Amiri A. Phase I monitoring of multivariate simple linear profiles. Journal of Quality Technology 2009; under revision by the authors to resubmit.
35. Noorossana R, Eyvazian M, Vaghefi A. Phase II monitoring of multivariate simple linear profiles. Computers and Industrial Engineering 2009; under revision by the authors to resubmit.
36. Parker PA, Morton M, Draper NR, Line WP. A single-vector force calibration method featuring the modern design of experiments. Proceedings of the American Institute of Aeronautics and Astronautics 39th Aerospace Sciences Meeting and Exhibit 2001, Reno, Nevada, 2001.
37. 2 statistic based on the successive differences estimator. Journal of Quality Technology 2006; 38(3):217-229.
38. Rencher AC. Methods of Multivariate Analysis. Wiley: New York, 2002.
39. Lee JC, Chang TC, Krishnaiah PR. Approximations to the distributions of the likelihood ratio statistics for testing certain structures on the covariance matrices of real multivariate normal populations. Multivariate Analysis 1977; 4:105-118.