A note on the arl of two-sided bernoulli-based CUSUM control charts

Journal of Quality Technology

Volumn 43, Issue 1, 2011, Pages 43-49

  Megahed, Fadel M ^a   Kensler, Jennifer L K ^a   Bedair, Khaled ^a   Woodall, William H ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Average Run Length; Bernoulli CUSUM; Risk Adjustment; Statistical Process Control; Surgical

Indexed keywords

FLOWCHARTING; HEALTH RISKS; STATISTICAL PROCESS CONTROL;

AVERAGE RUN LENGTHS; BERNOULLI; BERNOULLI CUSUM CHART; CUMULATIVE SUM CONTROL CHARTS; CUSUM CONTROL CHART; MONITORING APPLICATIONS; RISK ADJUSTMENT; SURGICAL;

CONTROL CHARTS;

EID: 79951874076     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2011.11917844     Document Type: Article

References (13)

1. Grigg, O. A.; Farewell, V. T.; and Spiegelhalter, D. J. (2003). "Use of Risk-Adjusted CUSUM and RSPRT Charts for Monitoring in Medical Contexts". Statistical Methods in Medical Research 12, pp. 147-170. (Pubitemid 36347833)
2. Grigg, O. and Farewell, V. (2004). "An Overview of Risk- Adjusted Charts". Journal of the Royal Statistical Society, Series A 167, pp. 523-539. (Pubitemid 38888580)
3. Iezzoni, L. I. (2003). Risk Adjustment for Measuring Healthcare Outcomes. Chicago, IL: Health Administration Press.
4. Kemp, K. W. (1961). "The Average Run Length of the Cumulative Sum Chart when a V-Mask Is Used". Journal of the Royal Statistical Society, Series B 23, pp. 149-153.
5. Khan, R. A. (1981). "A Note on Page's Two-Sided Cumulative Sum Procedure". Biometrika 68, pp. 717-719.
6. Mousavi, S. and Reynolds, M. R., Jr. (2009). "A CUSUM Chart for Monitoring a Proportion with Autocorrelated Binary Observations". Journal of Quality Technology 41, pp. 401-414.
7. Page, E. S. (1954). "Continuous Inspection Schemes". Biometrika 41, pp. 100-114.
8. Parsonnet, V.; Dean, D.; and Bernstein, A. D. (1989). "A Method of Uniform Stratification of Risks for Evaluating the Results of Surgery in Acquired Adult Heart Disease". Circulation 779 (Suppl. 1), pp. 1-12.
9. Reynolds, M. R., Jr. and Stoumbos, Z. G. (1999). "A CUSUM Chart for Monitoring a Proportion When Inspecting Continuously". Journal of Quality Technology 31, pp. 87-108.
10. Steiner, S. H.; Cook, R. J.; Farewell, V. T.; and Treasure, T. (2000). "Monitoring Surgical Performance Using Risk-Adjusted Cumulative Sum Charts". Biostatistics 1, pp. 441-452. (Pubitemid 33213547)
11. Woodall, W. H. (1984). "On the Markov Chain Approach to the Two-Sided CUSUM Procedure". Technometrics 26(1), pp. 41-46.
12. Woodall, W. H. (2006). "Use of Control Charts in Health- Care and Public-Health Surveillance (with Discussion)". Journal of Quality Technology 38, pp. 89-104.
13. Yashchin, E. (1985). "On a Unified Approach to the Analysis of Two-Sided Cumulative Sum Control Schemes with Headstarts". Advances in Applied Probability 17, pp. 562-593.