Model inadequacy and residuals control charts for autocorrelated processes

Quality and Reliability Engineering International

Volumn 21, Issue 2, 2005, Pages 115-130

  Testik, Murat Caner ^a  

^a CUKUROVA UNIVERSITY   (Turkey)

Author keywords

Autocorrelation; Autoregressive model; Control charts; Exponentially weighted moving average

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; NORMAL DISTRIBUTION; PARAMETER ESTIMATION; POLYNOMIALS; RANDOM PROCESSES; STATISTICAL METHODS; TIME SERIES ANALYSIS;

AUTOCORRELATION; AUTOREGRESSIVE MODEL; CONTROL CHARTS; EXPONENTIALLY WEIGHTED MOVING AVERAGE;

PROCESS CONTROL;

EID: 14644407487     PISSN: 07488017     EISSN: None     Source Type: Journal    
DOI: 10.1002/qre.611     Document Type: Article

References (20)

1. Alwan LC, Roberts HV. Time series modeling for statistical process control. Journal of Business and Economic Statistics 1988; 6:87-95.
2. Montgomery DC, Mastrangelo CM. Some statistical process control methods for autocorrelated data. Journal of Quality Technology 1991; 23:179-193.
3. Alwan LC. Effects of autocorrelation on control chart performance. Communications in Statistics-Theory and Methods 1992; 21:1025-1049.
4. Harris TJ, Ross WH. Statistical process control procedures for correlated observations. Canadian Journal of Chemical Engineering 1991; 69:48-57.
5. Runger GC, Willemain TR. Model-based and model-free control of autocorrelated processes. Journal of Quality Technology 1995; 27:283-292.
6. Runger GC, Willemain TR Prabhu SS. Average run lengths for Cusum control charts applied to residuals. Communications in Statistics-Theory and Methods 1995; 24:273-282.
7. Vander Wiel SA. Monitoring processes that wander using integrated moving average models. Technometrics 1996; 38:139-151.
8. Apley DW, Shi J. The GLRT for statistical process control of autocorrelated processes. IIE Transactions 1999; 31:1123-1134.
9. Runger GC. Assignable causes and autocorrelation: Control charts for observations or residuals? Journal of Quality Technology 2002; 34:165-170.
10. Lu CW, Reynolds MR. EWMA control charts for monitoring the mean of autocorrelated processes. Journal of Quality Technology 1999; 31:166-188.
11. Lu CW, Reynolds MR. Control charts for monitoring the mean and variance of autocorrelated processes. Journal of Quality Technology 1999; 31:259-274.
12. Kramer H, Schmid W. Control charts for time series. Nonlinear Analysis 1997; 30:4007-4016.
13. Apley DW. Time series control charts in the presence of model certainty. Journal of Manufacturing Science and Engineering 2002; 124:891-898.
14. Montgomery DC. Introduction to Statistical Quality Control (4th edn). Wiley: New York, 2001.
15. Box GEP, Jenkins GM, Reinsel GC. Time Series Analysis (3rd edn). Prentice-Hall: Englewood Cliffs, NJ, 1994.
16. Roberts SW. Control chart tests based on geometric moving averages. Technometrics 1959; 1:239-251.
17. Lucas JM, Saccucci MS. Exponentially weighted moving average control schemes: Properties and enhancements. Technometrics 1990; 32:1-13.
18. Barr DR, Sherrill ET. Mean and variance of truncated normal distributions. The American Statistician 1999; 53: 357-361.
19. Wardell DG, Moskowitz H, Plante RD. Run length distributions of special cause control charts for correlated processes. Technometrics 1994; 36:3-22.
20. Zhang NF. A statistical control chart for stationary process data. Technometrics 1998; 40:24-38.