The Effect of Aggregating Data When Monitoring a Poisson Process

References

• Benneyan, J. C. (1998a). “Statistical Quality Control Methods in Infection Control in Hospital Epidemiology, Part I: Introduction and Basic Theory”. Infection Control and Hospital Epidemiology 19, pp. 194–219.
   PubMed Web of Science ®Google Scholar
• Benneyan, J. C. (1998b). “Statistical Quality Control Methods in Infection Control in Hospital Epidemiology, Part II: Chart Use, Statistical Properties, and Research Issues”. Infection Control and Hospital Epidemiology 19 (4), pp. 265–283.
   PubMed Web of Science ®Google Scholar
• Borror, C. M.; Champ, C. W.; and Rigdon, S. E. (1998). “Poisson EWMA Control Charts”. Journal of Quality Technology 30 (4), pp. 352–361.
   Web of Science ®Google Scholar
• Bureau of Labor Statistics (BLS). (2013). Injuries, Illnesses and Fatalities. www.bls.gov
   Google Scholar
• Burkom, H. S.; Elbert, Y.; Feldman, A.; and Lin, J. (2004). “Role of Data Aggregation in Biosurveillance Detection Strategies with Applications from ESSENCE”. Morbidity and Mortality Weekly Report 53 (Suppl), pp. 67–73.
   Google Scholar
• Dubrawski, A. (2011). “The Role of Data Aggregation in Public Health and Food Safety Surveillance”. In Biosurveillance: Methods and Case Studies, T. Kass-Hout, T. and X. X. Zhang, eds., Chapter 9. Boca Raton, FL: Taylor and Francis Group, LLC.
   Google Scholar
• Gan, F. F. (1994). “Design of Optimal Exponential CUSUM Control Charts”. Journal of Quality Technology 26 (2), pp. 109–124.
   Web of Science ®Google Scholar
• Han, S. W.; Tsui, K.-L.; Ariyajunya, B.; and Kim, S. B. (2009). “A Comparison of CUSUM, EWMA, and Temporal Scan Statistics for Detection of Increases in Poisson Rates”. Quality and Reliability Engineering International 26, pp. 279–289.
   Web of Science ®Google Scholar
• Lucas, J. M. (1985). “Counted Data CUSUMs”. Technometrics 27 (2), pp. 129–144.
   Web of Science ®Google Scholar
• Montgomery, D. C. (2008). Introduction to Statistical Quality Control, 6th Edition. Hoboken, NJ: John Wiley.
   Google Scholar
• Occupational Safety and Health Administration (OSHA). (2013). Workplace Injury, Illness, and Fatality Statistics. www.osha.gov
   Google Scholar
• Page, E. S. (1954). “Continuous Inspection Schemes”. Biometrika 41, pp. 100–115.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr. and Stoumbos, Z. G. (1999). “A CUSUM Chart for Monitoring a Proportion When Inspecting Continuously”. Journal of Quality Technology 31 (1), pp. 87–108.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr. and Stoumbos, Z. G. (2000). “A General Approach to Modeling CUSUM Charts for a Proportion”. IIE Transactions 32, pp. 515–535.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr. and Stoumbos, Z. G. (2004a). “Control Charts and the Efficient Allocation of Sampling Resources”. Technometrics 46 (2), pp. 200–214.
   Web of Science ®Google Scholar
• Reynolds, M. R., Jr. and Stoumbos, Z. G. (2004b). “Should Observations Be Grouped for Effective Process Monitoring?” Journal of Quality Technology 36 (4), pp. 343–366.
   Web of Science ®Google Scholar
• Schuh, A.; Camelio, J. A.; and Woodall, W. H. (2013). “Control Charts for Accident Frequency: A Motivation for Real-Time Occupational Safety Monitoring”. International Journal of Injury Control and Safety Promotion, to appear.
   Google Scholar
• Steiner, S. H. and Jones, M. (2010). “Risk-Adjusted Survival Time Monitoring with an Updating Exponentially Weighted Moving Average (EWMA) Control Chart”. Statistics in Medicine 29, pp. 444–454.
   PubMed Web of Science ®Google Scholar
• Szarka, J. L., III and Woodall, W. H. (2011). “A Review and Perspective on Surveillance of Bernoulli Processes”. Quality and Reliability Engineering International 27, pp. 735–752.
   Web of Science ®Google Scholar
• Szarka, J. L., III and Woodall, W. H. (2012). “On the Equivalence of the Bernoulli and Geometric CUSUM Charts”. Journal of Quality Technology 44 (1), pp. 54–62.
   Web of Science ®Google Scholar
• White, C. H.; Keats, J. B.; and Stanley, J. (1997). “Poisson CUSUM Versus c Chart for Defect Data”. Quality Engineering 9 (4), pp. 673–679.
   Google Scholar
• Wu, Z.; Liu, Y.; Zhen, H.; and Khoo, M. (2010). “A Cumulative Sum Scheme for Monitoring Frequency and Size of an Event”. Quality and Reliability Engineering International 26, pp. 541–554.
   Web of Science ®Google Scholar