期刊
BIOMETRICS
卷 66, 期 2, 页码 493-501出版社
WILEY
DOI: 10.1111/j.1541-0420.2009.01301.x
关键词
Dirichlet process; Logistic model; Mixture prior; Multiple testing; Nonparametric Bayes; Order constraint; Tumorigenicity
资金
- NIH
- National Institute of Envionmental Health Sciences [Z01 ES040009-10]
- NATIONAL INSTITUTE OF ENVIRONMENTAL HEALTH SCIENCES [Z01ES040009] Funding Source: NIH RePORTER
In National Toxicology Program (NIT) studies, investigators want to assess whether a test agent is carcinogenic overall and specific to certain tumor types, while estimating the dose-response profiles. Because there are potentially correlations among the tumors, a joint inference is preferred to separate univariate analyses for each tumor type. In this regard. we propose a random effect logistic model with a matrix of coefficients representing log-odds ratios for the adjacent dose groups for tumors at different sites. We propose appropriate nonparametric priors for these coefficients to characterize the correlations and to allow borrowing of information across different dose groups and tumor types. Global and local hypotheses can be easily evaluated by summarizing the output of a single Monte Carlo Markov chain (MCMC). Two multiple testing procedures are applied for testing local hypotheses based on the posterior probabilities of local alternatives. Simulation studies are conducted and an NTP tumor data set is analyzed illustrating the proposed approach.
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