Combining evidence on air pollution and daily mortality from the 20 largest US cities: A hierarchical modelling strategy

Journal of the Royal Statistical Society. Series A: Statistics in Society

Volumn 163, Issue 3, 2000, Pages 263-302

  Dominici, Francesca ^a,b   Samet, Jonathan M ^a   Zeger, Scott L ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b JOHNS HOPKINS BLOOMBERG SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Air pollution; Hierarchical models; Log linear regression; Longitudinal data; Markov chain Monte Carlo methods; Mortality; Relative rate

Indexed keywords

EID: 0034354440     PISSN: 09641998     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-985x.00170     Document Type: Article

References (60)

1. American Thoracic Society (1996a) Health effects of outdoor air pollution, part 1. Am. J. Resp. Crit. Care Med., 153, 3-50.
2. -(1996b) Health effects of outdoor air pollution, part 2. Am. J. Resp. Crit. Care Med., 153, 477-498.
3. Bernardo, J. M. and Smith, A. F. M. (1994) Bayesian Theory. New York: Wiley.
4. Best, N. G., Cowles, M. K. and Vines, K. (1995) CODA: convergence diagnostics and output analysis software for Gibbs sampling output, version 0.30. Technical Report. Medical Research Council Biostatistics Unit, Cambridge.
5. Breslow, N. and Clayton, D. (1993) Approximation inference in generalized linear mixed models. J. Am. Statist. Ass., 88, 9-25.
6. Carroll, R. J., Ruppert, D. and Stefanski, L. (1995) Measurement Error in Nonlinear Models. New York: Chapman and Hall.
7. Clyde, M. (1998) Bayesian model averaging and model search strategies. In Bayesian Statistics 6 (eds J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), pp. 83-102. Oxford: Oxford University Press.
8. Cressie, N. (1994) Statistics for Spatial Data. New York: Wiley.
9. Cressie, N., Kaiser, M., Daniels, M., Aldworth, J., Lee. J., Lahiri, S. and Cox, L. (1999) Spatial analysis of particulate matter in an urban environment. In Proc. GeoEnv 98 (eds J. Gomez-Hernandez, A. Soares and R. Froidevaux).
10. 10-mortality dose-response curves and threshold levels: an analysis of daily time-series for the 20 largest US cities. Am. J. Epidem., to be published.
11. Daniels, M. and Kass, R. (1998) A note on first-stage approximation in two-stage hierarchical models. Sankhya B, 60, 19-30.
12. Davis, J., Sacks, J., Saltzman, N., Smith, R. and Styer, P. (1996) Airborne particulate matter and daily mortality in Birmingham, Alabama. Technical Report. National Institute of Statistical Science, Research Triangle Park.
13. DerSimonian, R. and Laird, N. (1986) Meta-analysis in clinical trials. Contr. Clin. Trials, 7, 177-188.
14. Dockery, D. and Pope, C. (1994) Acute respiratory effects of particulate air pollution. A. Rev. Publ. Hlth, 15, 107-132.
15. Dominici, F., Zeger, S. and Samet, J. (2000) A measurement error correction model for time-series studies of air pollution and mortality. Biostatistics, 2, in the press.
16. DuMouchel, W. H. (1990) Bayesian metaanalysis. In Statistical Methodology in the Pharmaceutical Sciences (ed. D. A. Berry), pp. 509-529. New York: Dekker.
17. DuMouchel, W. H. and Harris, J. E. (1983) Bayes methods for combining the results of cancer studies in humans and other species. J. Am. Statist. Ass., 78, 293-308.
18. Fung, Y. and Krewski, D. (1999) On measurement error adjustment methods in poisson regression. Environmetrics, 10, 213-224.
19. Gaudard, M., Karson, M., Linder, E. and Sinha, D. (1999) Bayesian spatial prediction. Environ. Ecol. Statist., 6, 147-171.
20. Gelfand, A. E. and Smith, A. F. M. (1990) Sampling-based approaches to calculating marginal densities. J. Am. Statist. Ass., 85, 398-409.
21. Geman, S. and Geman, D. (1993) Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. J. Appl. Statist., 20, 25-62.
22. Gilks, W. R., Clayton, D. G., Spiegelhalter, D. J., Best, N. G., McNeil, A. J., Sharples, L. D. and Kirby, A. J. (1993) Modelling complexity: applications of Gibbs sampling in medicine. J. R. Statist. Soc. B, 55, 39-52.
23. Handcock, M. and Stein, M. (1993) A bayesian analysis of kriging. Technometrics, 35, 403-410.
24. Hastie, T. J. and Tibshirani, R. J. (1990) Generalized Additive Models. New York: Chapman and Hall.
25. Hastings, W. K. (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57, 97-109.
26. Janssen, N., Hoek, G., Brunekreef, B., Harssema, H., Mensink, I. and Zuidhof, A. (1998) Personal sampling of particles in adults: relation among personal, indoor, and outdoor air concentrations. Am. J. Epidem., 147, 537-544.
27. Janssen, N., Hoek, G., Harssema, H. and Brunekreef, B. (1997) Childhood exposure to PM10: relation between personal, classroom, and outdoor concentrations. Occup. Environ. Med., 54, 1-7.
28. Kaiser, M. and Cressie, N. (1993) The construction of multivariate distributions from markov random fields. J. Multiv. Anal., 2, 35-54.
29. Katsoyanni, K., Toulomi, G., Spix, C., Balducci, F., Medina, S., Rossi, G., Wojtyniak, B., Sunyer, J., Bacharova, L., Schouten, J., Ponka, A. and Anderson, H. R. (1997) Short term effects of ambient sulphur dioxide and particulate matter on mortality in 12 European cities: results from time series data from the APHEA project. Br. Med. J., 314, 1658-1663.
30. Kelsall, J., Samet, J. and Zeger, S. (1997) Air pollution, and mortality in Philadelphia, 1974-1988. Am. J. Epidem., 146, 750-762.
31. Korrick, S., Neas, L., Dockery, D. and Gold, D. (1998) Effects of ozone and other pollutants on the pulmonary function of adult hikers. Environ. Hlth Perspect., 106, 93-99.
32. Le, N. D., Sun, W. and Zidek, J. V. (1997) Bayesian multivariate spatial interpolation with data missing by design. J. R. Statist. Soc. B, 59, 501-510.
33. Le Cam, L. and Yang, G. L. (1990) Asymptotics in Statistics: Some Basic Concepts. New York: Springer.
34. Li, Y. and Roth, H. (1995) Daily mortality analysis by using different regression models in Philadelphia county, 1973-1990. Inhaln Toxicol., 7, 45-58.
35. Liang, K.-Y. and Zeger, S. L. (1986) Longitudinal data analysis using generalized linear models. Biometrika, 73, 13-22.
36. Lindley, D. V. and Smith, A. F. M. (1972) Bayes estimates for the linear model (with discussion). J. R. Statist. Soc. B, 34, 1-41.
37. Lioy, P., Waldman, J., Buckley, T., Butler, J. and Pietarinen, T. (1990) The personal, indoor, and outdoor concentrations of PM10 measured in an industrial community during the winter. Atmos. Environ., 24, 57-66.
38. Lipfert, F. and Wyzga, R. (1993) Air pollution and mortality: issues and uncertainty. J. Air Waste Mangmnt Ass., 45, 949-966.
39. Mage, T. and Buckley, T. J. (1995) The relationship between personal exposures and ambient concentrations of particulate matter. In Air and Waste Management 88th A. Meet., Pittsburgh, pp. 1-16.
40. Morris, C. N. and Normand, S.-L. (1992) Hierarchical models for combining information and for meta-analysis. In Bayesian Statistics 4 (eds J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), pp. 321-344. Oxford: Oxford University Press.
41. Neyman, J. and Scott, E. L. (1960) Correction for bias introduced by a transformation of variables. Ann. Math. Statist., 31, 643-655.
42. Normand, S., Glickman, M. and Gatsonis, C. (1997) Statistical methods for profiling providers of medical care: issues and applications. J. Am. Statist. Ass., 92, 803-814.
43. Ozkaynak, H., Xue, J., Spengler, J., Wallace, L., Pellizzari, E. and Jenkins, P. (1996) Personal exposure to airborne particles and metals: results from the particle team study in Riverside, California. J. Expos. Anal. Environ. Epidem., 6, 57-78.
44. Raftery, A. and Lewis, S. (1992) How many iterations in the gibbs sampler? In Bayeisan Statistics 4 (eds J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), pp. 763-774. Oxford: Oxford University Press.
45. Samet, J., Zeger, S. and Berhane, K. (1995) The Association of Mortality and Particulate Air Pollution. Cambridge: Health Effects Institute.
46. Samet, J., Zeger, S., Kelsall, J., Xu, J. and Kalkstein, L. (1997) Air pollution, weather and mortality in Philadelphia. In Particulate Air Pollution and Daily Mortality: Analyses of the Effects of Weather and Multiple Air Pollutants, the Phase 1B Report of the Particle Epidemiology Evaluation Project. Cambridge: Health Effects Institute.
47. Schwartz, J. (1995) Air pollution and daily mortality in Birmingham, Alabama. Am. J. Epidem., 137, 1136-1147.
48. Silliman, N. (1997) Hierarchical selection models with applications in meta-analysis. J. Am. Statist. Ass., 92, 926-936.
49. Skene, A. M. and Wakefield, J. C. (1990) Hierarchical models for multicentre binary response studies. Statist. Med., 9, 919-929.
50. Smith, R., Davis, J., Sacks, J., Speckman, P. and Styer, P. (1997) Assessing the human health risk of atmospheric particle. Proc. Environ. Statist. Sect. Am. Statist. Ass.
51. -(1998) Air pollution and mortality in Birmingham, Alabama: a reappraisal. Technical Report. National Institute of Statistical Science, Research Triangle Park.
52. Smith, T. C., Spiegelhalter, D. J. and Thomas, A. (1995) Bayesian approaches to random-effects meta-analysis: a comparative study. Statist. Med., 14, 2685-2699.
53. Tierney, L. (1994) Markov chains for exploring posterior distributions (with discussion). Ann. Statist., 22, 1701-1762.
54. Toulomi, G., Katsoyanni, K., Zmirou, D. and Schwartz, J. (1997) Short-term effects of ambient oxidant exposure on mortality: a combined analysis within the APHEA project. Am. J. Epidem., 146, 177-183.
55. Vedal, S. (1996) Ambient particles and health: lines that divide. J. Air Waste Mangmnt Ass., 47, 551-581.
56. Wakefield, J. and Morris, S. (1998) Spatial dependence and errors-in-variables in environmental epidemiology: investigating the relationship between magnesium and myocardial infarction. In Bayesian Statistics 6 (eds J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), pp. 510-516. Oxford: Oxford University Press.
57. Wallace, L. (1996) Indoor particles: a review. J. Air Waste Mangmnt Ass., 46, 98-126.
58. Wikle, C., Berliner, M. and Cressie, N. (1997) Hierarchical Bayesian space-time models. Technical Report. Iowa State University, Ames.
59. Zidek, J., Wong, H. and Burnett, R. (1998) Including structural measurement errors in the nonlinear regression analysis of clustered data. Can. J. Statist., 26, 537-548.
60. Zidek, J., Wong, H., Le, N. and Burnett, R. (1996) Causality, measurement error and multicollinearity in epidemiology. Environmetrics, 7, 441-451.