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Comparison of Models Analyzing a Small Number of Observed Meningitis Cases in Navrongo, Ghana

Author

Listed:
  • Y. Hagar

    (University of Colorado at Boulder)

  • M. Hayden

    (National Center of Atmospheric Research (NCAR))

  • C. Wiedinmyer

    (National Center of Atmospheric Research (NCAR))

  • V. Dukic

    (University of Colorado at Boulder)

Abstract

The “meningitis belt” is a region in sub-Saharan Africa where annual outbreaks of meningitis occur, with epidemics observed cyclically. While we know that meningitis is heavily dependent on seasonal trends, the exact pathways for contracting the disease are not fully understood and warrant further investigation. Most previous approaches have used large sample inference to assess impacts of weather on meningitis rates. However, in the case of rare events, the validity of such assumptions is uncertain. This work examines the meningitis trends in the context of rare events, with the specific objective of quantifying the underlying seasonal patterns in meningitis rates. We compare three main classes of models: the Poisson generalized linear model, the Poisson generalized additive model, and a Bayesian hazard model extended to accommodate count data and a changing at-risk population. We compare the accuracy and robustness of the models through the bias, RMSE, and standard deviation of the estimators, and also provide a detailed case study of meningitis patterns for data collected in Navrongo, Ghana. Supplementary materials accompanying this paper appear online.

Suggested Citation

  • Y. Hagar & M. Hayden & C. Wiedinmyer & V. Dukic, 2017. "Comparison of Models Analyzing a Small Number of Observed Meningitis Cases in Navrongo, Ghana," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 22(1), pages 76-104, March.
    • Handle: RePEc:spr:jagbes:v:22:y:2017:i:1:d:10.1007_s13253-016-0270-5
    DOI: 10.1007/s13253-016-0270-5
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    References listed on IDEAS

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    1. Anonymous, 1963. "World Health Organization," International Organization, Cambridge University Press, vol. 17(4), pages 979-985, October.
    2. Bouman, Peter & Meng, Xiao-Li & Dignam, James & Dukic, Vanja, 2007. "A Multiresolution Hazard Model for Multicenter Survival Studies: Application to Tamoxifen Treatment in Early Stage Breast Cancer," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1145-1157, December.
    3. Luping Zhao & Timothy E. Hanson, 2011. "Spatially Dependent Polya Tree Modeling for Survival Data," Biometrics, The International Biometric Society, vol. 67(2), pages 391-403, June.
    4. Hanson, Timothy E., 2006. "Inference for Mixtures of Finite Polya Tree Models," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 1548-1565, December.
    5. Luping Zhao & Timothy E. Hanson & Bradley P. Carlin, 2009. "Mixtures of Polya trees for flexible spatial frailty survival modelling," Biometrika, Biometrika Trust, vol. 96(2), pages 263-276.
    6. Diggle, Peter J. & Guan, Yongtao & Hart, Anthony C. & Paize, Fauzia & Stanton, Michelle, 2010. "Estimating Individual-Level Risk in Spatial Epidemiology Using Spatially Aggregated Information on the Population at Risk," Journal of the American Statistical Association, American Statistical Association, vol. 105(492), pages 1394-1402.
    7. Michelle C. Stanton & and Lydiane Agier & Benjamin M. Taylor & Peter J. Diggle, 2014. "Towards realtime spatiotemporal prediction of district level meningitis incidence in sub-Saharan Africa," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 177(3), pages 661-678, June.
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