Correlating point-referenced radon and areal uranium data arising from a common spatial process

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 56, Issue 3, 2007, Pages 313-326

  Smith, Brian J ^a   Cowles, Mary Kathryn ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Bayesian hierarchical model; Markov chain Monte Carlo methods; Radon gas; Spatial statistics; Uranium

Indexed keywords

EID: 34249106391     PISSN: 00359254     EISSN: 14679876     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2007.00579.x     Document Type: Article

References (23)

1. Apte, M. G., Price, P. N., Nero, A. V. Revzan, K. L. (1999) Predicting New Hampshire indoor radon concentrations from geologic information and other covariates. Environ. Geol., 37, 181 194.
2. Banerjee, S. (2003) Essential geodesics for the spatial statistician. Technical Report 009. Division of Biostatistics, University of Minnesota, Minneapolis.
3. Chen, M.-H. Shao, Q.-M. (1999) Monte Carlo estimation of Bayesian credible and HPD intervals. J. Comput. Graph. Statist., 8, 69 92.
4. Cowles, M. K., Zimmerman, D. L., Christ, A. McGinnis, D. L. (2002) Combined snow water equivalent data from multiple sources to estimate spatio-temporal trends and compare measurement systems. J. Agric. Biol. Environ. Statist., 7, 536 557.
5. Darby, S., Hill, D., Auvinen, A., Barros-Dios, J. M., Baysson, H., Bochicchio, F., Deo, H., Falk, R., Forastiere, F., Hakama, M., Heid, I., Kreienbrock, L., Kreuzer, M., Lagarde, F., Mäkeläinen, I., Muirhead, C., Oberaigner, W., Pershagen, G., Ruano-Ravina, A., Ruosteenoja, E., Rosario, A. S., Tirmarche, M., Tomášek, L., Whitley, E., Wichmann, H. E. and Doll, R. (2005) Radon in homes and risk of lung cancer: collaborative analysis of individual data from 13 European case-control studies. Br. Med. J., 330, 223.
6. Duval, J. S., Jones, W. J., Riggle, F. R. Pitkin, J. A. (1989) Equivalent uranium map of the conterminous United States. Technical Report. United States Geological Survey, Denver.
7. Field, R. W., Steck, D. J., Smith, B. J., Brus, C. P., Fisher, E. L., Neuberger, J. S., Platz, C. E., Robinson, R. A., Woolson, R. F. Lynch, C. F. (2000) Residential radon gas exposure and lung cancer: the Iowa radon lung cancer study. Am. J. Epidem., 151, 1091 1102.
8. Fisher, E. L., Field, R. W., Smith, B. J., Lynch, C. F. Daniel, J. (1998) Spatial variation of residential radon concentrations: the Iowa radon lung cancer study. Hlth Phys., 75, 506 513.
9. Fuentes, M. Raftery, A. E. (2005) Model evaluation and spatial interpolation by Bayesian combination of observations with outputs from numerical models. Biometrics, 61, 36 45.
10. Gelfand, A. E., Zhu, L. Carlin, B. P. (2001) On the change of support problem for spatio-temporal data. Biostatistics, 2, 31 45.
11. Gelman, A. Rubin, D. B. (1992) Inference from iterative simulation using multiple sequences. Statist. Sci., 7, 457 511.
12. Hastings, W. K. (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57, 97 109.
13. Krewski, D., Lubin, J. H., Zielinski, J. M., Alavanja, M., Catalan, V. S., Field, R. W., Klotz, J. B., Letourneau, E. G., Lynch, C. F., Lyon, J. I., Sandler, D. P., Schoenberg, J. B., Steck, D. J., Stolwijk, J. A., Weinberg, C. Wilcox, H. B. (2005) Residential radon and risk of lung cancer: a combined analysis of 7 North American case-control studies. Epidemiology, 16, 137 145.
14. Morokoff, W. J. Caflisch, R. E. (1995) Quasi-Monte Carlo integration. Computnl Phys., 122, 218 230.
15. Nazaroff, W. W., Moed, B. A., Sextro, R. G., Revzan, K. L. and Nero, A. V. (1989) Soil as a Source of Indoor Radon: Generation, Migration and Entry. New York : Wiley.
16. Neal, R. M. (2003) Slice sampling. Ann. Statist., 31, 705 767.
17. Nero, A. V., Gadgil, A. J., Nazaroff, V. O. W. Revzan, K. L. (1990) Indoor radon and decay products: concentrations, causes and control strategies. Technical Report DOE/ER-0480P. Department of Energy, Washington DC.
18. Price, P. N., Nero, A. V. Gelman, A. (1996) Bayesian prediction of mean indoor radon concentrations for Minnesota counties. Hlth Phys., 71, 922 936.
19. Price, P. N., Nero, A., Revzan, K., Apte, M., Gelman, A. and Boscardin, W. J. (2005) E. O. Lawrence Berkeley National Laboratory: High-Radon Project. Lawrence Berkeley National Laboratory, Berkeley.
20. Ronca-Battista, M., Moon, M., Bergsten, J., White, S. B., Holt, N. Alexander, B. (1988) Radon-222 concentrations in the United States - results of sample surveys in five states. Rad. Protn Dosim., 24, 307 312.
21. Smith, B. J. (2005) Bayesian Output Analysis Program (BOA), version 1.1.5. Department of Biostatistics, University of Iowa, Iowa City. (Available from http://www.public-health.uiowa.edu/boa.)
22. Stein, M. L. (1999) Interpolation of Spatial Data: Some Theory for Kriging. New York : Springer.
23. Weih, L. M. B. (1993) Building and environmental factors associated with elevated radon levels in rural Iowa homes. Dissertation. Department of Preventive Medicine and Environmental Health, University of Iowa, Iowa City.