Bayesian estimation of inverse dose response

Biometrics

Volumn 64, Issue 4, 2008, Pages 1223-1230

  Hu, Bo ^a   Ji, Yuan ^b   Tsui, Kam Wah ^c  

^a LERNER RESEARCH INSTITUTE   (United States)

^b UNIVERSITY OF TEXAS MD ANDERSON CANCER CENTER   (United States)

^c University of Wisconsin   (United States)

Author keywords

Adaptive direction sampling; Credible region; Effective dose; HPD; MCMC; Profile posterior

Indexed keywords

INVERSE PROBLEMS;

ADAPTIVE DIRECTION SAMPLING; BAYESIAN ESTIMATIONS; BAYESIAN METHODS; CREDIBLE REGIONS; DOSE RESPONSE; EFFECTIVE DOSE; HIGH POSTERIOR DENSITY; MCMC; PROFILE POSTERIOR; TWO AGENTS;

BAYESIAN NETWORKS;

NITROGEN DIOXIDE;

ALGORITHM; BAYESIAN ANALYSIS; DOSE-RESPONSE RELATIONSHIP; ESTIMATION METHOD; SAMPLING;

ALCOHOL CONSUMPTION; ALGORITHM; ARTICLE; BAYES THEOREM; CIGARETTE SMOKING; DOSE RESPONSE; ESOPHAGUS CANCER; HUMAN; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; NONHUMAN; PROBABILITY; SIMULATION;

EID: 56049102394     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2008.01013.x     Document Type: Article

References (18)

1. Alho, J. M. and Valtonen, E. (1995). Interval estimation of inverse dose-response. Biometrics 51, 491 501.
2. Box, G. and Tiao, G. C. (1992). Bayesian Inference in Statistical Analysis. New York : Wiley.
3. Breslow, N. E. and Day, N. E. (1980). Statistical Methods in Cancer Research, Volume i - The Analysis of Cohort Studies. Lyon, France : IARC.
4. Dette, H., Neumeyer, N., and Pilz, K. F. (2005). A note on nonparametric estimation of the effective dose in quantal bioassay. Journal of the American Statistical Association 100, 503 510.
5. Fieller, E. C. (1954). Some problems in interval estimation. Journal of the Royal Statistical Society, Series B 16, 175 185.
6. Gelman, A., Carlin, J., Stern, H., and Rubin, D. (2004). Bayesian Data Analysis. Boca Raton, Florida: Chapman and Hall.
7. Hastings, W. K. (1970). Monte Carlo sampling methods using markov chains and their applications. Biometrika 57, 97 109.
8. Hsu, S. J. (1995). Generalized Laplace approximation in Bayesian inference. The Canadian Journal of Statistics 23, 399 410.
9. Hsu, S. J. and Leonard, T. (1997). Hierarchical Bayesian semiparametric procedures for logistic regression. Biometrika 84, 85 93.
10. Hyndman, R. J. (1996). Computing and graphing highest density regions. The American Statistician 50, 120 126.
11. Larsen, R. I., Gardener, D. E., and Coffin, D. L. (1979). An air quality data analysis system for interrelating effects, standards, and needed source reductions. Part 5: No. 2 mortality of mice. Journal of Air Pollution Control Association 39, 113 117.
12. Liu, J., Liang, F., and Wong, W.-H. (2000). The use of multiple-try method and local optimization in metropolis sampling. Journal of the American Statistical Association 95, 121 134.
13. Morgan, B. J. T. (1992). Analysis of Quantal Response Data. London : Chapman and Hall.
14. Müller, H. G. and Schmitt, T. (1988). Kernel and probit estimates in quantal bioassay. Journal of the American Statistical Association 83, 750 759.
15. Ritter, C. and Tanner, M. A. (1992). Facilitating the Gibbs sampler: the Gibbs stopper and the Griddy-Gibbs sampler. Journal of the American Statistical Association 87, 861 868.
16. Roberts, G. O. and Gilks, W. R. (1994). Convergence of adaptive direction sampling. Journal of Multivariate Analysis 49, 287 298.
17. Sitter, R. R. and Wu, C. F. J. (1993). Optimal designs for binary response experiments: Fieller, d, and a criteria. Scandinavian Journal of Statistics 20, 329 342.
18. Williams, D. A. (1986). Interval estimation of the median lethal dose. Biometrics 42, 641 645.