Abstract
Abstract In this chapter we consider a subset of the data analyzed by Waller, Turnbull, Clark, and Nasca (Case Studies in Biometry 1994), concerning incidence of leukemia cases in an area surrounding the GE Auburn hazardous waste site in Cayuga County in upstate New York. The data consist of exposed population and leukemia cases by census block for the five-year period from 1978 to 1982, and the goal of our analysis is to quantify the extent to which close proximity to the hazardous waste site increases risk of contracting leukemia. We follow roughly the methodology of Wakefield and Morris (JASA 2001), who utilized a location-risk model embedded in a standard disease-mapping framework to analyze incidence of stomach cancer in relation to a municipal solid waste incinerator on the northeast coast of England. We describe in detail the three-stage Bayesian hierarchical model, and the selection of prior distributions for the model parameters. A major emphasis of this chapter will be on the use of R and WinBUGS, and the R2WinBUGS interface between them, in conducting the data analysis.
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References
Banerjee, S., Carlin, B.P., Gelfand, A.E.: Hierarchical Modeling and Analysis for Spatial Data. Chapman & Hall / CRC (2004)
Diggle, P.J.: A point process modelling approach to raised incidence of a rare phenomenon in the vicinity of a prespecified point. Journal of the Royal Statistical Society, Series A 153, 349–362 (1990)
Flegal, J.M., Haran, M., Jones, G.L.: Markov chain Monte Carlo: Can we trust the third significant figure? Statistical Science 23, 250–260 (2008)
Gelman, A., Rubin, D.B.: Inference from iterative simulation using multiple sequences. Statistical Science 7, 457–472 (1992)
Jones, G.L., Haran, M., Caffo, B.S., Neath, R.: Fixed-width output analysis in Markov chain Monte Carlo. Journal of the American Statistical Association 101, 1537–1547 (2006)
Jones, G.L., Hobert, J.P.: Honest exploration of intractable probability distributions via Markov chain Monte Carlo. Statistical Science 16, 312–334 (2001)
Lunn, D.J., Thomas, A., Best, N., Spiegelhalter, D.: WinBUGS – a Bayesian modelling framework: Concepts, structure, and extensibility. Statistics and Computing 10, 325–337 (2000)
Spiegelhalter, D.J., Best, N.G., Carlin, B.P., van der Linde, A.: Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society, Series B 64, 583–616 (2002)
Sturtz, S., Ligges, U., Gelman, A.: R2WinBUGS: A package for running WinBUGS from R. Juornal of Statistical Software 12, 1–16 (2005)
Wakefield, J.C., Morris, S.E.: The Bayesian modeling of disease risk in relation to a point source. Journal of the American Statistical Association 96, 77–91 (2001)
Waller, L.A., Turnbull, B.W., Clark, L.C., Nasca, P.: Spatial pattern analyses to detect rare disease clusters. In: N. Lange, L. Ryan, L. Billard, D. Brillinger, L. Conquest, J. Greenhouse (eds.) Case Studies in Biometry, pp. 3–23. John Wiley & Sons, Inc. (1994)
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Neath, R.C. (2010). A Bayesian Analysis of Leukemia Incidence Surrounding an Inactive Hazardous Waste Site. In: Vinod, H. (eds) Advances in Social Science Research Using R. Lecture Notes in Statistics(), vol 196. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1764-5_11
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DOI: https://doi.org/10.1007/978-1-4419-1764-5_11
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