Nonparametric bayes shrinkage for assessing exposures to mixtures subject to limits of detection

Epidemiology

Volumn 21, Issue SUPPL. 4, 2010, Pages

  Herring, Amy H ^a  

^a IL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POLYCHLORINATED BIPHENYL DERIVATIVE; POLYCHLORINATED BIPHENYL;

ACCURACY; ADULT; ARTICLE; BAYES THEOREM; ENDOMETRIOSIS; ENVIRONMENTAL EXPOSURE; FEMALE; HUMAN; MAJOR CLINICAL STUDY; MULTIVARIATE LOGISTIC REGRESSION ANALYSIS; NONPARAMETRIC TEST; PRIORITY JOURNAL; STATISTICAL MODEL; ADOLESCENT; ADVERSE EFFECTS; ANALYSIS; BLOOD; CHEMICALLY INDUCED; LIMIT OF DETECTION; YOUNG ADULT;

ADOLESCENT; ADULT; BAYES THEOREM; ENDOMETRIOSIS; ENVIRONMENTAL EXPOSURE; FEMALE; HUMANS; LIMIT OF DETECTION; POLYCHLORINATED BIPHENYLS; YOUNG ADULT;

EID: 77953917201     PISSN: 10443983     EISSN: None     Source Type: Journal    
DOI: 10.1097/EDE.0b013e3181cf0058     Document Type: Article

References (27)

1. Draper D. Assessment and propagation of model uncertainty. J R Stat Soc Ser B. 1995;57:45-97.
2. Hoeting JA, Madigan D, Raftery AE, Volinsky CT. Bayesian model averaging: a tutorial. Stat Sci. 1999;14:382-417.
3. Wang DL, Zhang WY, Bakhai A. Comparison of Bayesian model averaging and stepwise methods for model selection in logistic regression. Stat Med. 2004;23:3451-3467.
4. Hjort NL, Claeskens G. Frequentist model average estimators. J Am Stat Assoc. 2003;98:879-899.
5. Casey M, Gennings C, Carter WH, Moser VC, Simmons JE. Detecting interaction(s) and assessing the impact of component subsets in a chemical mixture using fixed-ratio mixture ray designs. J Agric Biol Environ Stat. 2004;9:339-361.
6. Casey M, Gennings C, Carter WH, Moser V, Simmons JE. Ds-optimal designs for studying combinations of chemicals using multiple fixed-ratio ray experiments. Environmetrics. 2005;16:129-149.
7. Greenland S. A semi-Bayes approach to the analysis of correlated multiple associations, with an application to an occupational cancer-mortality study. Stat Med. 1992;11:219-230.
8. Greenland S. Methods for epidemiologic analyses of multiple exposures: a review and comparative study of maximum-likelihood, preliminary-testing, and empirical-Bayes regression. Stat Med. 1993;12:717-736.
9. Greenland S. Hierarchical regression for epidemiologic analyses of multiple exposures. Environ Health Perspect. 1994;102(suppl 8):33-39.
10. Dunson DB, Herring AH, Engel SM. Bayesian selection and clustering of polymorphisms in functionally related genes. J Am Stat Assoc. 2008;103:534-546.
11. MacLehose RF, Dunson DB, Herring AH, Hoppin JA. Bayesian methods for highly correlated exposure data. Epidemiology. 2007;18:199-207.
12. Thomas DC. Viewpoint: using gene-environment interactions to dissect the effects of complex mixtures. J Expo Sci Environ Epidemiol. 2007; 17:S71-S74.
13. Tibshirani R. Regression shrinkage and selection via the lasso. J R Stat Soc Ser B. 1996;58:267-288.
14. Genkin A, Lewis DD, Madigan D. Large-scale Bayesian logistic regression for text categorization. Technometrics. 2007;49:291-304.
15. Gelman A, Jakulin A, Pittau MG, Su YS. A weakly informative default prior distribution for logistic and other regression models. Ann Appl Stat. 2008;2:1360-1383.
16. Tipping ME. Sparse Bayesian learning and the relevance vector machine. J Mach Learn Res. 2001;1:211-244.
17. Mitchell TJ, Beauchamp JJ. Bayesian variable selection in linear regression. J Am Stat Assoc. 1988;83:1023-1032.
18. George EI, McCulloch RE. Approaches to Bayesian variable selection. Stat Sin. 1997;7:339-373.
19. Krishnamoorthy K, Mallick A, Matthew T. Model-based imputation approach for data analysis in the presence of non-detects. Ann Occup Hyg. 2009;53:249-263.
20. Taylor DJ, Kupper LL, Rappaport SM, Lyles RH. A mixture model for occupational exposure mean testing with a limit of detection. Biometrics. 2001;57:681-688.
21. Robert CP, Casella G. Monte Carlo Statistical Methods. New York: Springer-Verlag; 1999.
22. Buck Louis GM, Weiner JM, Whitcomb BW, et al. Environmental PCB exposure and risk of endometriosis. Hum Reprod. 2005;20:279-285.
23. Whitcomb BW, Schisterman EF, Buck GM, Weiner JM, Greizerstein H, Kostyniak PJ. Relative concentrations of organochlorine pesticides and polychlorinated biphenyls in adipose tissue and serum of women of reproductive age. Environ Toxicol Pharmacol. 2005;19: 203-213.
24. Scott JG, Berger JO. An exploration of aspects of Bayesian multiple testing. J Stat Plann Inference. 2006;136:2144-2162.
25. Geman S, Geman D. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Trans Pattern Anal Mach Intell. 1984;6:721-741.
26. Gelfand AE, Smith AF. Sampling-based approaches to calculating marginal densities. J Am Stat Assoc. 1990;85:398-409.
27. Bondell HD, Reich BJ. Simultaneous regression shrinkage, variable selection and clustering of predictors with OSCAR. Biometrics. 2008; 64:115-123.