A litter-based approach to risk assessment in developmental toxicity studies via a power family of completely monotone functions

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 53, Issue 2, 2004, Pages 369-386

  Kuk, Anthony Y C ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Complementary log log link; Completely monotone function; Developmental toxicity data; Dose response function; Exchangeability; Intracluster correlation; Method of scoring; Odds ratio; Risk assessment; Symbolic differentiation

Indexed keywords

EID: 2342555112     PISSN: 00359254     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1467-9876.2003.05369.x     Document Type: Article

References (39)

1. Altham, P. M. E. (1978) Two generalizations of the binomial distribution. Appl. Statist., 27, 162-167.
2. Bishop, Y. M. M., Fienberg, S. E. and Holland, P. W. (1975) Discrete Multivariate Analysis: Theory and Practice. Cambridge: Massachusetts Institute of Technology Press.
3. Bowman, D., Chen, J. J. and George, E. O. (1995) Estimating variance functions in developmental toxicity studies. Biometrics, 51, 1523-1528.
4. Bowman, D. and George, E. O. (1995) A saturated model for analyzing exchangeable binary data: applications to clinical and developmental toxicity study. J Am. Statist. Ass., 90, 871-879.
5. Brooks, S. P., Morgan, B. J. T., Ridout, M. S. and Pack, S. E. (1997) Finite mixture models for proportions. Biometrics, 53, 1097-1115.
6. Catalano, P. J., Ryan, L. M. and Scharfstein, D. (1994) Modelling fetal death and malformation in developmental toxicity. Risk Anal., 14, 611-619.
7. Chen, J. J. and Kodell, R. L. (1989) Quantitative risk assessment for teratological effects. J. Am. Statist. Ass., 84, 966-971.
8. Connolly, M. A. and Liang, K. Y. (1988) Conditional logistic regression models for correlated binary data. Biometrika, 75, 501-506.
9. Crump, K. S. (1984) A new method for determining allowable daily intakes. Fund Appl. Toxic., 4, 854-871.
10. Dominici, F. and Parmigiani, G. (2001) Bayesian semiparametric analysis of developmental toxicology data. Biometrics, 57, 150-157.
11. Ekholm, A., Smith, P. W. F. and McDonald, J. W. (1995) Marginal regression analysis of a multivariate binary response. Biometrika, 82, 847-854.
12. Faustman, E. M., Allen, B. C., Kavlock, R. J. and Kimmel, C. A. (1994) Dose response assessment for developmental toxicity: I, Characterization of database and determination of no observed adverse effect levels. Fund Appl. Toxic., 23, 478-486.
13. Feller, W. (1971) An Introduction to Probability Theory and Its Applications, vol. II, 2nd edn. New York: Wiley.
14. Fitzmaurice, G. M. and Laird, N. M. (1993) A likelihood-based method for analysing longitudinal binary responses. Biometrika, 80, 141-151.
15. Fleiss, J. L. (1981) Statistical Methodsfor Rates and Proportions, 2nd edn. New York: Wiley.
16. George, E. O. and Bowman, D. (1995) A full likelihood procedure for analysing exchangeable binary data. Biometrics, 51, 512-523.
17. George, E. O. and Kodell, R. L. (1996) Tests of independence, treatment heterogenity, and dose-related trend with exchangeable binary data. J. Am. Statist. Ass., 91, 1602-1610.
18. Geys, H., Molenberghs, G. and Ryan, L. (1999) Pseudolikelihood modeling of multivariate outcomes in developmental toxicology. J. Am. Statist. Ass., 94, 734-745.
19. Haseman, J. K. and Kupper, L. L. (1979) Analysis of dichotomous response data from certain toxicological experiments. Biometrics, 35, 281-293.
20. Holston, J. F., Gaines, T. B., Nelson, C. J., LaBorde, J. B., Gaylor, D. W., Sheehan, D. M. and Young, J. F. (1991) Developmental toxicity of 2,4,5-trichlorophenoxiacetic acid: I, Multireplicated dose response studies in four inbred strains and one outbred stock of mice. Fund. Appl. Toxic., 19, 286-297.
21. Kimmel, C. A. and Gaylor, D. W. (1988) Issues in qualitative and quantitative risk analysis for developmental toxicology. Risk Anal., 8, 15-20.
22. Kuk, A. Y. C. (2003) A generalized estimating equation approach to modelling foetal response in developmental toxicity studies when the number of implants is dose dependent. Appl. Statist., 52, 51-61.
23. Kupper, L. L. and Haseman, J. K. (1978) The use of a correlated binomial model for the analysis of certain toxicological experiments. Biometrics, 35, 281-293.
24. Kupper, L. L., Portier, C., Hogan, M. D. and Yamamoto, E. (1986) The impact of litter effects on dose-response modeling in teratology. Biometrics, 42, 85-98.
25. Liang, K. Y. and Hanfelt, J. (1994) On the use of quasi-likelihood method in teratological experiments. Biometrics, 50, 872-880.
26. Lipsitz, S. R., Fitzmaurice, G. M., Sleeper, L. and Zhao, L. P. (1995) Estimation methods for the joint distribution of repeated binary observations. Biometrics, 51, 562-570.
27. 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, 153-160.
28. Molenberghs, G., Declerck, L. and Aerts, M. (1998) Misspecifying the likelihood for clustered binary data. Comput. Statist. Data Anal., 26, 327-349.
29. Moore, D. F. (1986) Asymptotic properties of moment estimators for overdispersed counts and proportions. Biometrika, 73, 583-588.
30. Ochi, Y. and Prentice, R. L. (1984) Likelihood inference in a correlated probit regression model. Biometrika, 71, 531-543.
31. Regan, M. M. and Catalano, P. J. (1999) Likelihood models for clustered binary and continuous outcomes: applications to developmental toxicology. Biometrics, 55, 760-768.
32. Rosner, B. (1984) Multivariate methods in ophthalmology with applications to other paired-data situations. Biometrics, 40, 1025-1035.
33. Ryan, L. (1992) Quantitative risk assessment for developmental toxicity. Biometrics, 48, 163-174.
34. 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. J. R. Statist. Soc. B, 10, 257-261.
35. Venables, W. N. and Ripley, B. D. (1994) Modern Applied Statistics with S-Plus, 1st edn. New York: Springer.
36. Weil, C. S. (1970) Selection of valid number of sampling units and a consideration of their combination in toxicological studies involving reproduction, teratogenesis or carcinogenesis. Food Cosmet. Toxic., 8, 177-182.
37. Williams, D. A. (1975) The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity. Biometrics, 31, 949-952.
38. Williams, D. A. (1982) Extra-binomial variation in logistic linear models. Appl. Statist., 31, 144-148.
39. Williams, D. A. (1988) Estimation bias using beta-binomial distribution in teratology. Biometrics, 44, 305-309.