Multivariate modelling of infectious disease surveillance data

Statistics in Medicine

Volumn 27, Issue 29, 2008, Pages 6250-6267

  Paul, M ^a   Held, L ^a   Toschke, A M ^b  

^a UNIVERSITY OF ZURICH   (Switzerland)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

Infectious disease surveillance; Multivariate time series of counts; Space time models

Indexed keywords

ARTICLE; BIOMETRY; COMMUNICABLE DISEASE; EPIDEMIC; EPIDEMIOLOGY; GERMANY; HEALTH SURVEY; HUMAN; INFLUENZA; MENINGOCOCCOSIS; METHODOLOGY; MULTIVARIATE ANALYSIS; STATISTICAL ANALYSIS; STATISTICAL MODEL; STATISTICS; UNITED STATES;

BIOMETRY; COMMUNICABLE DISEASES; DATA INTERPRETATION, STATISTICAL; DISEASE OUTBREAKS; EPIDEMIOLOGIC METHODS; GERMANY; HUMANS; INFLUENZA, HUMAN; LIKELIHOOD FUNCTIONS; MENINGOCOCCAL INFECTIONS; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; POPULATION SURVEILLANCE; UNITED STATES;

EID: 67650366829     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3440     Document Type: Article

References (43)

1. Daley DJ, Gani J. Epidemic Modelling: An Introduction. Cambridge University Press: Cambridge, 1999.
2. Andersson H, Britton T. Stochastic Epidemic Models and their Statistical Analysis. Lecture Notes in Statistics, vol. 151. Springer: New York, 2000.
3. Griffiths DA. Multivariate birth-and-death processes as approximations to epidemic processes. Journal of Applied Probability 1973; 10(1):15-26.
4. Cox DR, Donnelly CA, Bourne FJ, Gettinby G, McInerney JP, Morrison WI, Woodroffe R. Simple model for tuberculosis in cattle and badgers. Proceedings of the National Academy of Sciences of the United States of America 2005; 102(49):17588-17593.
5. Finkenstádt BF, Bjørnstad ON, Grenfell BT. A stochastic model for extinction and recurrence of epidemics: estimation and inference for measles outbreaks. Biostatistics 2002; 3(4):493-510.
6. Finkenstádt BF, Grenfell BT. Time series modelling of childhood diseases: a dynamical systems approach. Journal of the Royal Statistical Society, Series C: Applied Statistics 2000; 49(2):187-205.
7. Zeger SL, Qaqish B. Markov regression models for time series: a quasi-likelihood approach. Biometrics 1988; 44(4):1019-1031.
8. Knorr-Held L, Richardson S. A hierarchical model for space-time surveillance data on meningococcal disease incidence. Journal of the Royal Statistical Society, Series C: Applied Statistics 2003; 52(2):169-183.
9. Held L, Höhle M, Hofmann M. A statistical framework for the analysis of multivariate infectious disease surveillance counts. Statistical Modelling 2005; 5:187-199.
10. Hament JM, Kimpen JL, Fleer A, Wolfs TF. Respiratory viral infection predisposing for bacterial disease: a concise review. FEMS Immunology and Medical Microbiology 1999; 26(3-4):189-195.
11. Cartwright KA, Jones DM, Smith AJ, Stuart JM, Kaczmarski EB, Palmer SR. Influenza A and meningococcal disease. The Lancet 1991; 338(8766):554-557.
12. Hubert B, Watier L, Garnerin P, Richardson S. Meningococcal disease and influenza-like syndrome: a new approach to an old question. The Journal of Infectious Diseases 1992; 166(3):542-545.
13. Jensen ES, Lundbye-Christensen S, Samuelsson S, Sørensen HT, Schønheyder HC. A 20-year ecological study of the temporal association between influenza and meningococcal disease. European Journal of Epidemiology 2004; 19(2):181-187.
14. Jansen AGSC, Sanders EAM, Van Der Ende A, Van Loon AM, Hoes AW, Hak E. Invasive pneumococcal and meningococcal disease: association with influenza virus and respiratory syncytial virus activity? Epidemiology and Infection 2008; DOI: 10.1017/S0950268807000271.
15. Robert Koch Institute. SurvStat. Available from: http://www3.rki.de/SurvStat. Accessed July 2007.
16. Farrington CP, Kanaan MN, Gay NJ. Estimation of the basic reproduction number for infectious diseases from age-stratified serological survey data. Journal of the Royal Statistical Society, Series C: Applied Statistics 2001; 50:251-283.
17. De Angelis D, Gilks WR, Day NE. Bayesian projection of the acquired immune deficiency syndrome epidemic. Journal of the Royal Statistical Society, Series C: Applied Statistics 1998; 47:449-481.
18. Brownstein JS, Wolfe CJ, Mandl KD. Empirical evidence for the effect of airline travel on inter-regional influenza spread in the United States. PLoS Medicine 2006; 3(10):e401.
19. Grais RF, Ellis JH, Glass GE. Assessing the impact of airline travel on the geographic spread of pandemic influenza. European Journal of Epidemiology 2003; 18(11):1065-1072.
20. Hufnagel L, Brockmann D, Geisel T. Forecast and control of epidemics in a globalized world. Proceedings of the National Academy of Sciences of the United States of America 2004; 101(42):15124-15129.
21. Colizza V, Barrat A, Barthélemy M, Vespignani A. The modeling of global epidemics: stochastic dynamics and predictability. Bulletin of Mathematical Biology 2006; 68(8):1893-1921.
22. U.S. Department of Transportation, Bureau of Transportation Statistics. Database: Air Carrier Statistics (Form 41 Traffic): T-100 Domestic Segment (All Carriers). Available from: http://www.transtats.bts.gov. Accessed June 2007.
23. Serfling R. Methods for current statistical analysis of excess pneumonia-influenza deaths. Public Health Reports 1963; 78:494-506.
24. Le Strat Y, Carrat F. Monitoring epidemiologic surveillance data using hidden Markov models. Statistics in Medicine 1999; 18(24):3463-3478.
25. Held L, Hofmann M, Höhle M, Schmid V. A two-component model for counts of infectious diseases. Biostatistics 2006; 7(3):422-437.
26. Abramowitz M, Stegun IA. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Dover: New York, 1964.
27. Thurston SW, Wand MP, Wiencke JK. Negative binomial additive models. Biometrics 2000; 56(1):139-144.
28. Höhle M. Surveillance: an R package for the surveillance of infectious diseases (2007). Computational Statistics 2007; 22(4):571-582.
29. Brundage JF. Interactions between influenza and bacterial respiratory pathogens: implications for pandemic preparedness. The Lancet Infectious Diseases 2006; 6(5):303-312.
30. Schrauder A, Claus H, Elias J, Vogel U, Haas W, Hellenbrand W. Capture-recapture analysis to estimate the incidence of invasive meningococcal disease in Germany, 2003. Epidemiology and Infection 2007; 135(4):657-664.
31. Svetliza CF, Paula GA. Diagnostics in nonlinear negative binomial models. Communications in Statistics. Theory and Methods 2003; 32(6):1227-1250.
32. Diggle PJ. Time Series. A Biostatistical Introduction. Oxford University Press: Oxford, 1990.
33. Diggle PJ, Heagerty P, Liang KY, Zeger S. The Analysis of Longitudinal Data (Oxford Statistical Science). Oxford University Press: Oxford, 2002.
34. Benjamin MA, Rigby RA, Stasinopoulos DM. Generalized autoregressive moving average models. Journal of the American Statistical Association 2003; 98(461):214-223.
35. Davis RA, Dunsmuir WTM, Streett SB. Observation-driven models for Poisson counts. Biometrika 2003; 90(4): 777-790.
36. Centers for Disease Control and Prevention. MMWR Table III (Mortality). Available from: http://www.cdc.gov/ EPO/DPHSI/121hist.htm. Accessed December 2006.
37. US Census Bureau, Population Division. Population, population change and estimated components of population change: April 1, 2000 to July 1, 2006 (NST EST2006 ALLDATA). Available from: http://www.census.gov/ popest/datasets.html. Accessed July 2007.
38. Mode CJ. Multitype Branching Processes-Theory and Applications. American Elsevier Publishing Company: New York, 1971.
39. Fanshawe T, Diggle P, Rushton S, Sanderson R, Lurz P, Glinianaia S, Pearce M, Parker L, Charlton M, Pless-Mulloli T. Modelling spatio-temporal variation in exposure to particulate matter: a two-stage approach. Environmetrics 2008; 19(6):549-566.
40. Dawid AP. Statistical theory. The prequential approach. Journal of the Royal Statistical Society, Series A: General 1984; 147(2):278-292.
41. Gneiting T, Raftery AE. Strictly proper scoring rules, prediction, and estimation. Journal of the American Statistical Association 2007; 102(477):359-378.
42. Czado C, Gneiting T, Held L. Predictive model assessment for count data. Technical Report 518, Department of Statistics, University of Washington, 2007.
43. Thisted RA. Elements of Statistical Computing. Numerical Computation. Chapman & Hall: New York, 1988.