Testing threshold and hormesis in a random effects dose-response model applied to developmental toxicity data

Biometrical Journal

Volumn 47, Issue 3, 2005, Pages 319-328

  Hunt, D ^a   Rai, S N ^a  

^a ST JUDE CHILDREN S RESEARCH HOSPITAL   (United States)

Author keywords

Developmental studies; Random effects; Score test

Indexed keywords

TOXICITY;

DEVELOPMENTAL STUDY; DEVELOPMENTAL TOXICITY; DEVELOPMENTAL TOXICITY STUDIES; DOSE-RESPONSE MODELS; HORMESIS; RANDOM EFFECTS; SCORE TEST; THRESHOLD DOSE; THRESHOLD EFFECT; TOXICITY DATA;

RANDOM PROCESSES;

EID: 22144457121     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.200310129     Document Type: Article

References (34)

1. Abramowitz, M. and Stegun, I. A. (1972). Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, U.S. Government Printing Office, Washington.
2. Barnwal, R. K. and Paul, S. R. (1988). Analysis of one-way layout of count data with negative binomial variation. Biometrika 75, 215-222.
3. Bartoo, J. B. and Puri, P. S. (1967). On optimal asymptotic tests of composite statistical hypotheses. Annals of Mathematical Statistics 38, 1845-1852.
4. Breslow, N. (1990). Further studies in the variability of pock counts. Statistics in Medicine 9, 615-626.
5. Calabrese, E. J. (1987). The occurrence of chemically induced hormesis. Health Physics 52, 531-541.
6. Chen, J. J. and Kodell, R. L. (1989). Quantitative risk assessment for teratological effects. Journal of the American Statistical Association 84, 966-971.
7. Collett, D. (1991). Modeling Binary Data. Chapman and Hall, London.
8. Cox, C. (1987). Threshold dose-response models in toxicology. Biometrics 43, 511-523.
9. Cox, D. R. and Hinkley, D. V. (1974). Theoretical Statistics. Chapman and Hall, London.
10. Gaylor, D. (1994). Biostatistical approaches to low level exposures. In: E. J. Calabrese (ed.): Biological Effects of Low Level Exposure, Lewis Publishers, Ann Arbor, MI, chapter 6.
11. Haseman, J. K. and Kupper, L. L. (1979). Analysis of dichotomous response data from certain toxicological experiments. Biometrics 35, 281-293.
12. Hatch, T. F. (1971). Thresholds: do they exist? Archives of Environmental Health 22, 687-689.
13. Hothom, L. A. and Bretz F. (2003). Dose-Response and Thresholds in Mutagenicity Studies: A Statistical Testing Approach. ATLA-ALTERN LAB ANIM 31, 97-103.
14. Hothorn, L. A. and Bretz F. (2000). Evaluation of Animal Carcinogenicity Studies: Cochran-Armitage Trend Test vs. Multiple Contrast Tests. Biometrical Journal 45, 553-567.
15. Hunt, D. (2002). Simulations to improve experimental designs for u-shaped dose-response modeling. Journal of Statistical Computation and Simulation 72, 737-746.
16. Hunt, D. and Bowman, D. (2004). A parametric model for detecting hermetic effects in developmental studies. Risk Analysis 24, 65-72.
17. Hunt, D. and Rai, S. N. (2003). A threshold dose-response model with random effects in teratological experiments. Communications in Statistics-Theory and Methods 32, 1439-1457.
18. Lausen, B., Lerche, R., and Schumacher M. (2002). Maximally selected rank statistics for dose-response problems. Biometrical Journal 44, 131-147.
19. Lutz, W. K. (1998). Dose Response Relationships in Chemical Carcinogenesis: Superposition of Different Mechanisms of Action, Resulting in Linear-non-linear Curves, Practical Thresholds, J-shapes. Mutation Research 405, 117-124.
20. Kimmel, C. A. and Gaylor, D. W. (1988). Issues in qualitative and quantitative risk analysis for developmental toxicology. Risk Analysis 8, 15-20.
21. Moran, P. A. P. (1970). On asymptotically optimal tests of composite hypotheses. Biometrika 57, 47-55.
22. Neyman, J. (1959). Optimal asymptotic tests of composite statistical hypotheses. In: U. Grenander (ed.): Probability and Statistics: The Harold Cramer Volume. Wiley, New York, 213-234.
23. Paul, S. R. (1982). Analysis of proportions of affected fetuses in teratological experiments. Biometrics 38, 361-370.
24. Rao, C. R. (1947). Large sample tests of statistical hypotheses concerning several parameters with applications to problems of estimation. Proceedings of the Cambridge Philosophical Society, 44, 50-57.
25. Ryan, L. M. (1992). Quantitative risk assessment for developmental toxicity. Biometrics 48, 163-174.
26. Ryan, L. M. (2000). Statistical issues in toxicology. Journal of the American Statistical Association, 95, 304-308.
27. Schwarz, P., Gennings, C., and Chinchilli, V. (1995). Threshold models for combination data from reproductive and developmental experiments. Journal of the American Statistical Association 90, 862-870.
28. Salanti, G. and Ulm, K. (2003). Tests for Trends in Binary Response. Biometrical Journal 45, 277-291.
29. Stebbing, A. R. D. (1982). Hormesis-the stimulation of growth by low levels of inhibitors. The Science of Total Environment 22, 213-234.
30. Tang, M. L. and Chan, P. S. (2000). On Exact Unconditional Test for Linear Trend in Dose-Response Studies. Biometrical Journal 42, 795-806.
31. Thall, P. F., (1992). Score tests in the two-way layout of counts. Communications in Statistics-Theory and Methods 21, 3017-3036.
32. Tyl, R. W., Jones-Price, C., Marr, M. C., and Kimmel, C. A. (1983). Teratologic evaluation of diethylhexyl phthalate (CAS No. 117-81-7) in CD-1 Mice. Final Study Report for NCTR/NTP Contract No. 222-80-2031 (C), NTIS No. PB85105674. National Technical Information Service, Springfield, VA.
33. Williams, D. A. (1975). The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity. Biometrics 31, 949-952.
34. Wilson, J. G. (1973). Environment and Birth Defects. Academic Press, New York.