Incorporating historical control information into quantal bioassay with Bayesian approach

Computational Statistics and Data Analysis

Volumn 54, Issue 6, 2010, Pages 1646-1656

  Chen, D G ^a,b,c  

^a GEORGIA SOUTHERN UNIVERSITY   (United States)

^b South Dakota State University   (United States)

^c UNIVERSITY OF SOUTH DAKOTA   (United States)

Author keywords

Beta binomial; Dose response model; E D100 p; Empirical and full Bayes; Logit normal; Potency

Indexed keywords

BAYESIAN APPROACHES; CONFIDENCE BANDS; CONTROL INFORMATION; CONTROL RESPONSE; DOSE LEVELS; DOSE RESPONSE RELATIONSHIPS; DOSE-RESPONSE MODELS; ITERATIVE REWEIGHTED LEAST SQUARE; MARGINAL LIKELIHOOD; PARAMETER ESTIMATE; RISK RATE;

BAYESIAN NETWORKS; BIOASSAY; RISK PERCEPTION;

NORMAL DISTRIBUTION;

EID: 77249095304     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2010.01.023     Document Type: Article

References (26)

1. Bickis, M., Krewski, D., 1985. Statistical issue in the analysis of the long term carcinogenicity bioassay in small rodents: An empirical evaluation of statistical decision rules, Technical Report No. 64, Laboratory for Research in Statistics and Probability, Carleton University.
2. Breslow N.E., and Clayton D.G. Approximate inference in generalized linear mixed models. Journal of American Statistical Association 88 (1993) 9-25
3. Chen D.G. Dose-time-response cumulative multinomial generalized linear model. Journal of Biopharmaceutical Statistics 17 1 (2007) 173-185
4. Chen D.G. Bootstrapping estimation for relative potency in the combinations of bioassays. Computational Statistics and Data Analysis 51 (2007) 4597-4604
5. Chen D.G., Carter E.M., Hubert J.J., and Kim P.T. Empirical Bayes estimation for combination of multivariate bioassays. Biometrics 55 4 (1999) 1035-1043
6. Collet D. Modelling Binary Data (1991), Chapman & Hall, New York
7. Dempster A.P., Selwyn M.R., and Weeks B.J. Combining historical and randomized control for assessing trends in proportions. Journal of American Statistical Association 78 382 (1983) 221-227
8. Fieller E.C. The biological standardization of insulin. Journal of the Royal Statistical Society 7 (1940) 1-64
9. Finney D.J. Statistical Method in Biological Assay. third ed. (1978), C. Griffin, London
10. Fung K.Y., Krewski D., and Smythe R.T. A comparison of tests for trend with historical controls in carcinogen bioassay. The Canadian Journal of Statistics 24 4 (1996) 431-454
11. Gart J.J., and Tarone R.E. On the robustness of a combined test for trends in proportions. Journal of the American Statistical Association 75 (1980) 110-116
12. Haseman J.K. Value of historical controls in the interpretation of rodent tumor data. Drug Information Journal 26 (1992) 191-200
13. Hoel D.G. In: Honor of Normal L. Johnson. Conditional Two-sample Tests with Historical Controls (1983), North-Holland, Amsterdam 229-236
14. Hubert J.J. Bioassay. third ed. (1992), Kendall-Hunt, Dubuque, Iowa
15. Ibrahim J.G., and Ryan L.M. Use of historical controls in time-adjusted trend tests for carcinogenicity. Biometrics 52 (1996) 1478-1485
16. Kass R.E., Tierney L., and Kadane J.B. Approximate methods for assessing influence and sensitivity in Bayesian analysis. Biometrika 76 (1989) 663-674
17. Krewski D., Smythe R.T., and Colin D. Tests for trend in binomial proportions with historical controls: A proposed two-stage procedure. In: MacNeil I.B., and Umphrey G.J. (Eds). Biostatistics (1987), Reidel Publishing Company 61-69
18. Laplace P.S. Memoir on the probability of the causes of events. (English translation of the 1774 French original by S.M. Stigler). Statistical Science 1 (1986) 364-378
19. Lin K.K., and Ali M.W. Statistical review and evaluation of animal carcinogenicity studies of pharmaceuticals. In: Buncher C.R., and Tsay J.Y. (Eds). Statistics in the Pharmaceutical Industry. third ed. (2006), Chapman & Hall/CRC, New York 17-54
20. McCullagh P., and Nelder J.A. Generalized Linear Models. 2nd ed. (1989), Chapman & Hall, New York
21. Morgan B.J.T. Analysis of Quantal Response Data (1992), Chapman & Hall
22. National Cancer Institute, 1978. Report on the Bioassay of Pivalolactone for Possible Carcinogenicity, Study #140, CAS #1955-49-9 (National Institute of Health, Bethesda, Maryland).
23. Prentice R.L., Smythe R.T., Krewski D., and Mason M. On the use of historical control data to estimate dose response trends in quantal bioassay. Biometrics 48 (1992) 459-478
24. Smythe R.T., Krewski D., and Murdoch D. The use of historical control information in modelling dose response relationships in carcinogenesis. Statistics and Probability Letters 4 (1986) 87-93
25. Tarone R.E. The use of historical control information in testing for a trend in proportions. Biometrics 38 (1982) 215-220
26. Tierney L., and Kadane J.B. Accurate approximation for posterior moments and marginal densities. Journal of American Statistical Association 81 (1986) 82-86