A Threshold Dose-Response Model with Random Effects in Teratological Experiments

References

• Abramowitz , M. and Stegun , I. A. 1972 . Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables Washington, , U.S. : Government Printing Office .
   Google Scholar
• Catalano , P. J. and Ryan , L. M. 1994 . “ Statistical methods in developmental toxicology ” . In Handbook of Statistics, Volume 12: Environmental Statistics Edited by: Patil , G. P. and Rao , C. R. pp. 507 – 533 . New York : North Holland/Elsevier Science .
   Google Scholar
• Chen , J. J. and Kodell , R. L. 1989 . Quantitative risk assessment for teratological effects . J. Amer. Statist. Assoc. , 84 : 966 – 971 .
   Web of Science ®Google Scholar
• Collett , D. 1991 . Modeling Binary Data London : Chapman & Hall/CRC .
   Google Scholar
• Crowder , M. J. 1978 . Beta-binomial ANOVA for proportions . Appl. Statist , 27 : 34 – 37 .
   Google Scholar
• Crump , K. S. 1984 . A new method for determining allowable daily intakes . Fund. Appl. Toxicol , 4 : 854 – 871 .
   PubMedGoogle Scholar
• Doull , J. , Cattley , R. , Elcombe , C. , Lake , B. G. , Swenberg , J. , Wilkinson , C. , Williams , G. and van Gemert , M. 1999 . A cancer risk assessment of di(2-ethylhexyl)phthalate: application of the new US EPA risk assessment guidelines . Regul. Toxicol. Pharm , 29 : 327 – 357 .
   PubMed Web of Science ®Google Scholar
• Griffiths , D. A. 1973 . Maximum likelihood estimation for the beta-binomial distribution and an application to the household distribution of the total number of cases of a disease . Biometrics , 29 : 637 – 648 .
   PubMed Web of Science ®Google Scholar
• Haseman , J. K. and Kupper , L. L. 1979 . Analysis of dichotomous response data from certain toxicological experiments . Biometrics , 35 : 281 – 293 .
   PubMed Web of Science ®Google Scholar
• Hunt , D. and Bowman , D. 2003 . A parametric model for detecting hormetic effects in developmental toxicity studies . Risk Anal. , submitted
   Google Scholar
• Kleinman , J. C. 1973 . Proportions with extraneous variance: single and independent samples . J. Amer. Statist. Assoc. , 68 : 46 – 54 .
   Web of Science ®Google Scholar
• Krewski , D. and Zhu , Y. 1993 . Applications of multinomial dose-response models in developmental risk assessment . 14 : 595 – 609 .
   Google Scholar
• 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 .
   PubMed Web of Science ®Google Scholar
• Paul , S. R. 1982 . Analysis of proportions of affected fetuses in teratological experiments . Biometrics , 38 : 361 – 370 .
   PubMed Web of Science ®Google Scholar
• Ryan , L. M. 1992 . Quantitative risk assessment for developmental toxicity . Biometrics , 48 : 163 – 174 .
   PubMed Web of Science ®Google Scholar
• Ryan , L. M. 2000 . Statistical issues in toxicology . J. Amer. Statist. Assoc. , 95 : 304 – 308 .
   Web of Science ®Google Scholar
• Schwartz , P. , Gennings , C. and Chinchilli , V. 1995 . Threshold models for combination data from reproductive and developmental experiments . J. Amer. Statist. Assoc. , 90 : 862 – 870 .
   Google Scholar
• Sielken , R. L. and Stevenson , D. E. 1988 . Some implications for quantitative risk assessment if hormesis exists . Hum. Exp. Toxicol. , 17 : 259 – 262 .
   Google Scholar
• 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. Royal Statist. Soc. Ser. B , 10 : 257 – 261 .
   Google Scholar
• Stiratelli , R. , Laird , N. and Ware , J. H. 1984 . Random-effects models for serial observations with binary response . Biometrics , 40 : 961 – 971 .
   PubMed Web of Science ®Google Scholar
• Tyl , R. W. , Jones-Price , C. , Marr , M. C. and Kimmel , C. A. 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.(1983)
   Google Scholar
• Williams , D. A. 1975 . The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity . Biometrics , 31 : 949 – 952 .
   PubMed Web of Science ®Google Scholar
• Williams , D. A. 1982 . Extra-binomial variation in logistic linear models . Appl. Statist. , 31 : 949 – 952 .
   Google Scholar
• Zhu , Y. , Krewski , D. and Ross , W. H. 1994 . Dose-response models for correlated multinomial data from developmental toxicity studies . Appl. Statist. , 43 : 583 – 598 .
   Web of Science ®Google Scholar