题名

CUSUM Residual Charts for Monitoring Enterovirus Infections

并列篇名

累積和殘差管制圖應用在監控腸病毒感染

DOI

10.6220/joq.2014.21(4).01

作者

陳慧芬(Hui-Fen Chen);陳余(Yu Chen)

关键词

累積和管制圖 ; 腸病毒 ; 迴歸模式 ; 症候群監控 ; CUSUM chart ; enteroviruses ; regression analysis ; syndromic surveillance

期刊名称

品質學報

卷期/出版年月

21卷4期(2014 / 08 / 30)

页次

219 - 232

内容语文

英文

中文摘要

本研究探討偵測類腸病毒案例異常增加的症候群監控問題。研究資料是2003至2006年類腸病毒症狀的日感染病患人數,取樣自臺灣全民健康保險資料庫。為了使累積和殘差管制圖可應用在症候群監控上,我們建立誤差項服從ARIMA模式的迴歸模式使得殘差值互相獨立且服從常態分配,模式中亦考慮季節性及星期效應。迴歸模式也可應用在預測用途上。數值結果顯示累積和殘差管制圖可及時提供疫情爆發的警訊。

英文摘要

We consider the syndromic surveillance problem of detecting aberrations on enterovirus (EV) like cases. The data used in this study are the 2003 to 2006 daily counts of EV-like cases sampled from the National Health Insurance Research Database in Taiwan. To apply the CUSUM residual chart for syndromic surveillance, a regression model with an ARIMA error-term is constructed to obtain independently and normally distributed residuals. The seasonal and day-of-the-week effects are also considered. The regression model is also useful for the forecast purpose. Numerical results show that the CUSUM residual chart can provide timely warnings for epidemic outbreaks.

主题分类 社會科學 > 管理學
参考文献
  1. Baxter, R.,Rubin, R.,Steinberg, C.,Carroll, C.,Shapiro, J.,Yang, A.(2000).,Falls Church.
  2. Box, G. E. P.,Jenkins, G. M.,Reinsel, G. C.(1994).Time Series Analysis: Forecasting and Control.Englewood Cliffs, NJ.:Prentice Hall.
  3. Cowling, B. J.,Wong, I. O. L.,Ho, L.-M.,Riley, S.,Leung, G. M.(2006).Methods for monitoring influenza surveillance data.International Journal of Epidemiology,35(5),1314-1321.
  4. Fricker, R. D., Jr.,Hegler, B. L.,Dunfee, D. A.(2008).Comparing syndromic surveillance detection methods: EARS' versus a CUSUM-based methodology.Statistics in Medicine,27(17),3407-3429.
  5. Goldenberg, A.,Shmueli, G.,Caruana, R. A.,Fienberg, S. E.(2002).Early statistical detection of anthrax outbreaks by tracking over-the-counter medication sales.Proceedings of the National Academy of Sciences of the United States of America,99(8),5237-5240.
  6. Han, S. W.,Tsui, K.-L.,Ariyajunya, B.,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(3),279-289.
  7. Heffernan, R.,Mostashari, F.,Das, D.,Karpati, A.,Kulldorff, M.,Weiss, D.(2004).Syndromic surveillance in public health practice, New York City.Emerging Infectious Diseases,10(5),858-864.
  8. Henning, K. J.(2004).What is syndromic surveillance?.Morbidity and Mortality Weekly Report,53(Suppl.),7-11.
  9. Ho, M.,Chen, E.-R.,Hsu, K.-H.,Twu, S.-J.,Chen, K.-T.,Tsai, S.-F.(1999).An epidemic of enterovirus 71 infection in Taiwan.The New England Journal of Medicine,341(13),929-935.
  10. Hutwagner, L. C.,Maloney, E. K.,Bean, N. H.,Slutsker, L.,Martin, S. M.(1997).Using laboratory-based surveillance data for prevention: an algorithm for detecting Salmonella outbreaks.Emerging Infectious Diseases,3(3),395-400.
  11. Lai, D.(2005).Monitoring the SARS epidemic in China: a time series analysis.Journal of Data Science,3(3),279-293.
  12. Miller, B.,Kassenborg, H.,Dunsmuir, W.,Griffith, J.,Hadidi, M.,Nordin, J. D.(2004).Syndromic surveillance for influenzalike illness in an ambulatory care network.Emerging Infectious Diseases,10(10),1806-1811.
  13. Montgomery, D. C.(2005).Introduction to Statistical Quality Control.Hoboken, NJ.:John Wiley.
  14. Morton, A. P.,Whitby, M.,Mclaws, M.,Dobson, A.,Mcelwain, S.,Looke, D.(2001).The application of statistical process control charts to the detection and monitoring of hospitalacquired infections.Journal of Quality in Clinical Practice,21(4),112-117.
  15. Reis, B. Y.,Mandl, K. D.(2003).Time series modeling for syndromic surveillance.BMC Medical Informatics and Decision Making,3(2)
  16. Rogerson, P. A.,Yamada, I.(2004).Approaches to syndromic surveillance when data consist of small regional counts.Morbidity and Mortality Weekly Report,53(Suppl.),79-85.
  17. Siegmund, D.(1985).Sequential Analysis: Tests and Confidence Intervals.New York:Springer-Verlag.
  18. Tsui, K. L.,Wong, S. Y.,Jiang, W.,Lin, C.-J.(2011).Recent research and developments in temporal and spatiotemporal surveillance for public health.IEEE Transactions on Reliability,60(1),49-58.
  19. Tsui, K.-L.,Chiu, W.,Gierlich, P.,Goldsman, D.,Liu, X.,Maschek, T.(2008).A review of healthcare, public health, and syndromic surveillance.Quality Engineering,20(4),435-450.
  20. Woodall, W. H.(2006).The use of control charts in health-care and public-health surveillance.Journal of Quality Technology,38(2),89-104.
  21. Woodall, W. H.,Adams, B. M.(1993).The statistical design of CUSUM charts.Quality Engineering,5(4),559-570.
  22. Woodall, W. H.,Marshall, J. B.,Joner, M. D., Jr.,Fraker, S. E.,Abdel-Salam, A.-S. G.(2008).On the use and evaluation of prospective scan methods for health-related surveillance.Journal of the Royal Statistical Society: Series A (Statistics in Society),171(1),223-237.
  23. Wu, T.-S. J.,Shih, F.-Y. F.,Yen, M.-Y.,Wu, J.-S. J.,Lu, S.-W.,Chang, K. C.-M.(2012).Establishing a nationwide emergency department-based syndromic surveillance system for better public health responses in Taiwan.BMC Public Health,8(18)