Hierarchical model building, fitting, and checking: A behind-the-scenes look at a bayesian analysis of arsenic exposure pathways

Bayesian Analysis

Volumn 4, Issue 1, 2009, Pages 1-36

  Craigmile, Peter F ^a   Calder, Catherine A ^a   Li, Hongfei ^b   Paul, Rajib ^c   Cressie, Noel ^a  

^a OHIO STATE UNIVERSITY   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

^c WESTERN MICHIGAN UNIVERSITY   (United States)

Author keywords

Arizona; Bayesian learning; Data management; Environmental health; Markov chain monte carlo (MCMC) algorithm; Model validation; National human exposure assessment survey (NHEXAS)

Indexed keywords

EID: 84862788234     PISSN: 19360975     EISSN: 19316690     Source Type: Journal    
DOI: 10.1214/09-BA401     Document Type: Article

References (24)

1. Banerjee, S., Carlin, B., and Gelfand, A. (2004). Hierarchical Modeling and Analysis for Spatial Data. Boca Raton, FL: Chapman & Hall/CRC. 18
2. Berliner, L. M. (2003). \Physical-statistical modeling in geophysics." Journal of Geo-physical Research (Atmospheres), 108 (D24): 8776, doi: 10.1029/2002JD002865. 8
3. Calder, C. A., Craigmile, P. F., and Zhang, J. (2008). \Regional Spatial Modeling of Topsoil Geochemistry." Biometrics. doi: 10.1111/j.1541-0420.2008.01038.x. 3, 6, 15, 17
4. Clayton, C. A., Pellizzari, E. D., and Quackenboss, J. J. (2002). \National Human Exposure Assessment Survey: Analysis of exposure pathways and routes for arsenic and lead in EPA Region 5." Journal of Exposure Analysis and Environmental Epi-demiology, 12: 29-43. 3, 9, 31
5. Committee on Advances in Assessing Human Exposure to Airborne Pollutants, N. R. C. (1991). Human Exposure Assessment for Airborne Pollutants: Advances and Oppor-tunities. The National Academies Press. 22
6. Cressie, N., Buxton, B. E., Calder, C. A., Craigmile, P. F., Dong, C., McMillan, N. J., Morara, M., Santner, T. J., Wang, K., Young, G., and Zhang, J. (2007). \From Sources to Biomarkers: A Hierarchical Bayesian Approach for Human Exposure Mod-eling." Journal of Statistical Planning and Inference, 137: 3361-3379
7. Cressie, N., Richardson, S., and Jaussent, I. (2004). \Ecological Bias: Use of Maximum-entropy Approximations." Australian and New Zealand Journal of Statistics, 46: 233-255
8. Gelfand, A. E. and Smith, A. F. M. (1990). \Sampling-based Approaches to Calculating Marginal Densities." Journal of the American Statistical Association, 85: 398-409.
9. Gelman, A. (2006). \Comment on \A Comparison of Bayesian and Likehood-based Methods for Fitting Mutilevel Models" by W. J. Browne and D. Draper." Bayesian Analysis, 1: 515-534. 27
10. Gelman, A., Carlin, J. B., Stern, H. S., and Rubin, D. B. (2004). Bayesian Data Analysis, 2nd edn. Boca Raton, FL: Chapman & Hall/CRC. 22
11. Geweke, J. (1991). \E±cient simulation from the multivariate normal and Student-t distributions subject to linear constraints." In Keramidas, E. M. (ed.), Computing Science and Statistics: Proceedings of the Twenty-Third Symposium on the Interface, 571-568. Fairfax, VA: Interface Foundation of North America. 21
12. Lauritzen, S. L. (1996). Graphical Models. Oxford, UK: Oxford University Press. 9 Lindley, D. V. and Smith, A. F. M. (1972). \Bayes Estimates for the Linear Model (with Discussion)." Journal of the Royal Statistical Society, Series B, 34: 1-41.
13. McMillan, N. J., Morara, M., and Young, G. S. (2006). \Hierarchical Bayesian Modeling of Human Exposure Pathways and Routes." 2492-2503. Alexandria, VA: American Statistical Association. 3, 8
14. NERL and National Center for Environmental Assessment (2000). Strategic Plan For The Analysis Of The National Human Exposure Assessment Survey (NHEXAS) Pilot Study Data. ORD, U.S. EPA. URL http://www.epa.gov/nerl/research/nhexas/strategy.pdf 2
15. O'Rourke, M. K., Van de Water, P. K., Jin, S., Rogan, S. P., Weiss, A. D., Gordon, S., Moschandreas, D., and Lebowitz, M. (1999). \Evaluations of Primary Metals from NHEXAS Arizona: Distributions and Preliminary Exposures." Journal of Exposure Analysis and Environmental Epidemiology, 9: 435-445. 2
16. Pellizzari, E., Lioy, P., Quackenboss, J., Whitmore, R., Clayton, A., Freeman, N., Waldman, J., Thomas, K., Rodes, C., and Wilcosky, T. (1995). \Population-Based Exposure Measurements in EPA Region 5: A Phase I Field Study in Support of the National Human Exposure Assessment Survey." Journal of Exposure Analysis and Environmental Epidemiology, 5: 327-358. 3
17. R Development Core Team (2007). R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0. URL http://www.R-project.org 19
18. Robertson, G., Lebowitz, M., O'Rourke, M., Gordon, S., and Moschandreas, D. (1999). \The National Human Exposure Assessment Survey (NHEXAS) Study in Arizona -Introduction and Preliminary Results." Journal of Exposure Analysis and Environ-mental Epidemiology, 9: 427-434. 2, 4
19. Samet, J. and Jaakkola, J. (1999). \The Epidemiologic Approach to Investigating Outdoor Air Pollution." In Holgate, S., Samet, J., Koren, H., and Maynard, R. (eds.), Air Pollution and Health. London, UK: Academic Press.
20. Santner, T. J., Craigmile, P. F., Calder, C. A., and Paul, R. (2008). \Effect and Path-ways Modifiers in a Bayesian Pathways Analysis of the National Human Exposure Assessment Survey for Arsenic in EPA Region 5." Environmental Science and Tech-nology, 42(15): 5607-5614. 4, 11
21. Seaber, P., Kapinos, F., and Knapp, G. (1987). Hydrologic Unit Maps. U.S. Geological Survey, Denver, CO. 6
22. Tapio, S. and Grosche, B. (2006). \Arsenic in the aetiology of cancer." Mutation Research, 612: 215-246. 31
23. Tierney, L. (1994). \Markov Chains for Exploring Posterior Distributions." Annals of Statistics, 22: 1701-1728. 19
24. WHO (1981). Arsenic. Geneva: World Health Organization. Environmental Health Criteria 18. 3