Spatiotemporal biosurveillance with spatial clusters: control limit approximation and impact of spatial correlation

References

• Crosier, R.B. (1988) Multivariate generalizations of cumulative sum quality-control schemes. Technometrics, 30, 291–303.
   Web of Science ®Google Scholar
• David, H.A. (1956) On the application to statistics of an elementary theorem in probability. Biometrika, 43, 85–91.
   Web of Science ®Google Scholar
• Fricker, R.D., Hegler, B.L. and Dunfee, D.A. (2008) Comparing syndromic surveillance detection methods: EARS versus a CUSUM-based methodology. Statistics in Medicine, 27, 3407–3429.
   PubMed Web of Science ®Google Scholar
• Gangnon, R.E. and Clayton, M.K. (2000) Bayesian detection and modeling of spatial disease clustering. Biometrics, 56, 922–935.
   PubMed Web of Science ®Google Scholar
• Gangnon, R.E. and Clayton, M.K. (2001) A weighted average likelihood ratio test for spatial clustering of disease. Statistics in Medicine, 20, 2977–2987.
   PubMed Web of Science ®Google Scholar
• Han, S.W., Tsui, K.-L., Ariyajunya, B. and Kim, S.B. (2010) A comparison of CUSUM, EWMA, and temporal scan statistics for detection of increases in Poisson rates. Quality and Reliability Engineering International, 26, 279–289.
   Web of Science ®Google Scholar
• Healy, J.D. (1987) A note on multivariate CUSUM procedures. Technometrics, 29, 409–412.
   Web of Science ®Google Scholar
• Hutwagner, L.C., Thompson, W.W., Seeman, G.M. and Treadwell, T. (2005) A simulation model for assessing aberration detection methods used in public health surveillance for systems with limited baselines. Statistics in Medicine, 24, 543–550.
   PubMed Web of Science ®Google Scholar
• Jiang, W., Han, S.W., Tsui, K.-L. and Woodall, W.H. (2011) Spatiotemporal surveillance methods in the presence of spatial correlation. Statistics in Medicine, 30, 569–583.
   PubMed Web of Science ®Google Scholar
• Kim, S.-H., Alexopoulos, C., Tsui, K.-L. and Wilson, J.R. (2007) A distribution-free tabular CUSUM chart for autocorrelated data. IIE Transactions, 39, 317–330.
   Web of Science ®Google Scholar
• Lawson, A.B. (2007) Statistical Methods in Spatial Epidemiology. Wiley, New York, NY.
   Google Scholar
• Lucas, J.M. and Saccucci, M.S. (1990) Exponentially weighted moving average control schemes: properties and enhancements. Technometrics, 32, 1–12.
   Web of Science ®Google Scholar
• Montgomery, D.C. (2009) Introduction to Statistical Quality Control, sixth edition, Wiley, New York, NY.
   Google Scholar
• Page, E.S. (1954) Continuous inspection schemes. Biometrika, 41, 100–115.
   Web of Science ®Google Scholar
• Page, E.S. (1961) Cumulative sum charts. Technometrics, 3, 1–9.
   Web of Science ®Google Scholar
• Pignatiello, J.J. and Runger, G.C. (1990) Comparisons of multivariate CUSUM charts. Journal of Quality Technology, 22, 173–186.
   Web of Science ®Google Scholar
• Rogerson, P.A. (1997) Surveillance systems for monitoring the development of spatial patterns. Statistics in Medicine, 16, 2081–2093.
   PubMed Web of Science ®Google Scholar
• Rogerson, P.A. (2006) Formulas for the design of CUSUM quality control charts. Communications in Statistics - Theory and Methods, 35, 373–383.
   Web of Science ®Google Scholar
• Rogerson, P.A. and Yamada, I. (2003) Approaches to syndromic surveillance when data consist of small regional counts. Morbidity and Mortality Weekly Report, 53, 79–85.
   Google Scholar
• Rogerson, P.A. and Yamada, I. (2004) Monitoring change in spatial patterns of disease: comparing univariate and multivariate cumulative sum approaches. Statistics in Medicine, 23, 2195–2214.
   PubMed Web of Science ®Google Scholar
• Sonesson, C. (2007) A CUSUM framework for detection of space–time disease clusters using scan statistics. Statistics in Medicine, 26, 4770–4789.
   PubMed Web of Science ®Google Scholar
• Sonesson, C. and Bock, D. (2003) A review and discussion of prospective statistical surveillance in public health. Journal of the Royal Statistical Society: Series A, 166, 5–21.
   Web of Science ®Google Scholar
• Tango, T. (1995) A class of tests for detecting general and focused clustering of rare diseases. Statistics in Medicine, 14, 2323–2334.
   PubMed Web of Science ®Google Scholar
• Tsui, K.-L., Chiu, W., Gierlich, P., Goldsman, D., Liu, X. and Maschek, T. (2008) A review of healthcare, public health, and syndromic surveillance. Quality Engineering, 20, 435–450.
   Google Scholar
• Tsui, K.-L., Han, S.W., Jiang, W. and Woodall, W.H. (2012) A review and comparison of likelihood-based charting methods. IIE Transactions, 44, 724–743.
   Web of Science ®Google Scholar
• Woodall, W.H. (2006) The use of control charts in health-care and public-health surveillance. Journal of Quality Technology, 38, 89–104.
   Web of Science ®Google Scholar
• Woodall, W.H. and Ncube, M.M. (1985) Mutivariate CUSUM quality control procedures. Technometrics, 27, 285–292.
   Web of Science ®Google Scholar
• Woodall, W.H., Spitzner, D.J., Montgomery, D.C. and Gupta, S. (2004) Using control charts to monitor process and product quality profiles. Journal of Quality Technology, 36, 309–320.
   Web of Science ®Google Scholar
• Zhu, Y., Wang, W., Atrubin, D., and Wu, Y. (2005) Initial evaluation of the early aberration reporting system—Florida. Morbidity and Mortality Weekly Report, 54, 123–130.
   PubMedGoogle Scholar