Spatial Bayesian surveillance for small area case event data

There has been little development of surveillance procedures for epidemiological data with fine spatial resolution such as case events at residential address locations. This is often due to difficulties of access when confidentiality of medical records is an issue. However, when such data are available, it is important to be able to affect an appropriate analysis strategy. We propose a model for point events in the context of prospective surveillance based on conditional logistic modeling. A weighted conditional autoregressive model is developed for irregular lattices to account for distance effects, and a Dirichlet tessellation is adopted to define the neighborhood structure. Localized clustering diagnostics are compared including the proposed local Kullback–Leibler information criterion. A simulation study is conducted to examine the surveillance and detection methods, and a data example is provided of non-Hodgkin’s lymphoma data in South Carolina.

[1]  N. G. Best,et al.  The deviance information criterion: 12 years on , 2014 .

[2]  C. Robert,et al.  Deviance information criteria for missing data models , 2006 .

[3]  Nikolas Kantas,et al.  Bayesian parameter inference for partially observed stopped processes , 2012, Stat. Comput..

[4]  Gregory F. Cooper,et al.  A Bayesian spatio-temporal method for disease outbreak detection , 2010, J. Am. Medical Informatics Assoc..

[5]  P. Diggle,et al.  Spatiotemporal prediction for log‐Gaussian Cox processes , 2001 .

[6]  Bradley P. Carlin,et al.  Bayesian measures of model complexity and fit , 2002 .

[7]  Sylvia Richardson,et al.  A comparison of Bayesian spatial models for disease mapping , 2005, Statistical methods in medical research.

[8]  Peter J. Diggle,et al.  Point process methodology for on‐line spatio‐temporal disease surveillance , 2005 .

[9]  P Schlattmann,et al.  Disease mapping models: an empirical evaluation. Disease Mapping Collaborative Group. , 2000, Statistics in medicine.

[10]  N. Cressie,et al.  Hierarchical modeling of count data with application to nuclear fall-out , 2003, Environmental and Ecological Statistics.

[11]  Gentry White,et al.  A stochastic neighborhood conditional autoregressive model for spatial data , 2009, Comput. Stat. Data Anal..

[12]  Sumio Watanabe,et al.  Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory , 2010, J. Mach. Learn. Res..

[13]  渡邊 澄夫 Algebraic geometry and statistical learning theory , 2009 .

[14]  Aki Vehtari,et al.  Understanding predictive information criteria for Bayesian models , 2013, Statistics and Computing.

[15]  Richard Boddy,et al.  Outliers and Influential Observations , 2010 .

[16]  J. Besag,et al.  Bayesian image restoration, with two applications in spatial statistics , 1991 .

[17]  S. Richardson,et al.  Interpreting Posterior Relative Risk Estimates in Disease-Mapping Studies , 2004, Environmental health perspectives.

[18]  David M. Hartley,et al.  Syndromic Surveillance and Bioterrorism-related Epidemics , 2003, Emerging infectious diseases.

[19]  S. Geisser,et al.  A Predictive Approach to Model Selection , 1979 .

[20]  Peter J. Diggle,et al.  Spatial and Space-Time Point Pattern Analysis , 2015 .

[21]  Andrew B Lawson,et al.  Prospective analysis of infectious disease surveillance data using syndromic information , 2014, Statistical methods in medical research.

[22]  Weng-Keen Wong,et al.  Bayesian Biosurveillance of Disease Outbreaks , 2004, UAI.

[23]  Fabio Divino,et al.  Disease mapping models: an empirical evaluation , 2000 .

[24]  A. Lawson Bayesian point event modeling in spatial and environmental epidemiology , 2012, Statistical methods in medical research.

[25]  C. Rotejanaprasert Evaluation of cluster recovery for small area relative risk models , 2014, Statistical methods in medical research.

[26]  Neal Alexander,et al.  Bayesian Disease Mapping: Hierarchical Modeling in Spatial Epidemiology , 2011 .

[27]  B. Carlin An Expected Utility Approach to Influence Diagnostics , 1991 .

[28]  Shaun J. Grannis,et al.  A Bayesian spatio‐temporal approach for real‐time detection of disease outbreaks: a case study , 2014, BMC Medical Informatics and Decision Making.

[29]  M. Stone An Asymptotic Equivalence of Choice of Model by Cross‐Validation and Akaike's Criterion , 1977 .

[30]  Renato Assunção,et al.  Bayesian spatial models with a mixture neighborhood structure , 2012, J. Multivar. Anal..