Litter-based methods in developmental toxicity risk assessment

Environmental and Ecological Statistics

Volumn 7, Issue 1, 2000, Pages 57-76

  Declerck, Lieven ^a   Molenberghs, Geert ^b   Aerts, Marc ^b   Ryan, Louise ^a  

^a DANA FARBER CANCER INSTITUTE   (United States)

^b HASSELT UNIVERSITY   (Belgium)

Author keywords

Beta binomial; Clustered data; Likelihood estimation; Safe dose; Teratology

Indexed keywords

EID: 0003168001     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009658829383     Document Type: Article

References (27)

1. Aerts, M., Declerck, L., and Molenberghs, G. (1997) Likelihood misspecification and safe dose determination for clustered binary data. Environmetrics, 8, 613-27.
2. Altham, P.M.E. (1978) Two generalizations of the binomial distribution. Applied Statistics, 27, 162-7.
3. Bahadur, R.R. (1961) A representation of the joint distribution of responses to n dichotomous items. In Studies in Item Analysis and Prediction, H. Solomon (ed.), Stanford Mathematical Studies in the Social Sciences VI. Stanford, California: Stanford University Press.
4. Catalano, P.J. and Ryan, L.M. (1992) Bivariate latent variable models for clustered discrete and continuous outcomes. Journal of the American Statistical Association, 87, 651-8.
5. Catalano, P.J., Scharfstein, D.O., Ryan, L.M., Kimmel, C.A., and Kimmel, G.L. (1993) Statistical model for fetal death, fetal weight and malformation in developmental toxicity studies. Teratology, 47, 281-90.
6. Chen, J.J., Kodell, R.L., Howe, R.B., and Gaylor, D.W. (1991) Analysis of trinomial responses from reproductive and developmental toxicity experiments. Biometrics, 47, 1049-58.
7. Crump, K.S. (1984) A new method for determining allowable daily intakes. Fundamental and Applied Toxicology, 4, 854-71.
8. Efron, B. (1986) Double exponential families and their use in generalized linear regression. Journal of the American Statistical Association, 81, 709-21.
9. Gart, J.J., Krewski, D., Lee, P.N., Tarone, R.E., and Wahrendorf, J. (1986) Statistical Methods in Cancer Research, Volume III: The Design and Analysis of Long-Term Animal Experiments, International Agency for Research on Cancer, Lyon.
10. George, E.O. and Bowman, D. (1995) A full likelihood procedure for analyzing exchangeable binary data. Biometrics, 51, 512-23.
11. George, J.D., Price, C.J., Kimmel, C.A., and Marr, M.C. (1987) The developmental toxicity of triethylene glycol dimethyl ether in mice. Fundamental and Applied Toxicology, 9, 173-81.
12. Kleinman, J.C. (1973) Proportions with extraneous variance: single and independent samples. Journal of the American Statistical Association, 68, 46-54.
13. Krewski, D. and Zhu, Y. (1994) Applications of multinomial dose-response models in developmental toxicity risk assessment. Risk Analysis, 14, 613-28.
14. Krewski, D. and Zhu, Y. (1995) A simple data transformation for estimating benchmark doses in developmental toxicity experiments. Risk Analysis, 15, 29-40.
15. Lindström, P., Morrissey, R.E., George, J.D., Price, C.J., Marr, M.C., Kimmel, C.A., and Schwetz, B.A. (1990) The developmental toxicity of orally administered theophylline in rats and mice. Fundamental and Applied Toxicology, 14, 167-78.
16. Lipsitz, S.R., Laird, N.M., and Harrington, D.P. (1991) Generalized estimating equations for correlated binary data: Using the odds ratio as a measure of association. Biometrika, 78, 153-60.
17. Molenberghs, G. and Lesaffre, E. (1994) Marginal modeling of correlated ordinal data using a multivariate Plackett distribution. Journal of the American Statistical Association, 89, 633-44.
18. Molenberghs, G. and Ryan, L.M. (1999) Likelihood inference for clustered multivariate binary data. Environmetrics, 10, 279-300.
19. Pendergast, J.F., Gange, S.J., Newton, M.A., Lindstrom, M.J., Palta, M., and Fisher, M.R. (1996) A survey of methods for analyzing clustered binary response data. International Statistical Review, 64, 89-118.
20. Price, C.J., Kimmel, C.A., George, J.D., and Marr, M.C. (1987) The developmental toxicity of diethylene glycol dimethyl ether in mice. Fundamental and Applied Toxicology, 8, 115-26.
21. Price, C.J., Kimmel, C.A., Tyl, R.W., and Marr, M.C. (1985) The developmental toxicity of ethylene glycol in rats and mice. Toxicology and Applied Pharmacology, 81, 113-27.
22. Rai, K. and Van Ryzin, J. (1985) A dose-response model for teratological experiments involving quantal responses. Biometrics, 47, 825-39.
23. Rotnitzky, A. and Wypij, D. (1994) A note on the bias of estimators with missing data. Biometrics, 50, 1163-70.
24. Ryan, L. (1992) Quantitative risk assessment for developmental toxicity. Biometrics, 48, 163-74.
25. Santner, T.J. and Duffy, D.E. (1989) The Statistical Analysis of Discrete Data, Springer-Verlag, New York.
26. Skellam, J.G. (1948) A probability distribution derived from the binomial distribution by regarding the probability of success as variable between the sets of trials. Journal of the Royal Statistical Society, Series B, 10, 257-61.
27. Tyl, R.W., Price, C.J., Marr, M.C., and Kimmel, C.A. (1988) Developmental toxicity evaluation of dietary di(2-ethylhexyl)phthalate in Fischer 344 rats and CD-1 mice. Fundamental and Applied Toxicology, 10, 395-412.