Interlitter response variability in a threshold dose-response model

Communications in Statistics - Theory and Methods

Volumn 37, Issue 14, 2008, Pages 2304-2314

  Hunt, Daniel L ^a   Rai, Shesh N ^b  

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

^b UNIVERSITY OF LOUISVILLE   (United States)

Author keywords

Developmental toxicity studies; Multiple variability; Random effects

Indexed keywords

BIOCHEMISTRY; ESTIMATION; MAXIMUM LIKELIHOOD ESTIMATION; NUMERICAL ANALYSIS; PARAMETER ESTIMATION; PHOTOACOUSTIC EFFECT; RANDOM PROCESSES;

APPLIED (CO); DATA SETS; DOSE LEVELS; DOSE RESPONSE RELATIONSHIPS; DOSE RESPONSES; EXTENDED MODEL; LIKELIHOOD RATIO TEST (LRT); MULTIPLE RESPONSES; NEW MODEL; PARAMETRIC STRUCTURE; RESPONSE VARIABILITY; SIMULATION STUDIES; SINGLE PARAMETER; THRESHOLD DOSE; THRESHOLD ESTIMATION;

MODAL ANALYSIS;

EID: 46249100703     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920701882495     Document Type: Article

References (18)

1. Abramowitz, M., Stegun, I. A. (1972). Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables. Washington: U.S. Government Printing Office.
2. Chen, J. J., Kodell, R. L. (1989). Quantitative risk assessment for teratological effects. J. Amer. Statist. Assoc. 84:966-971.
3. Collett, D. (1991). Modelling Binary Data. Boca Raton, FL: CRC Press.
4. Crump, K. S. (1984). A new method for determining allowable daily intakes. Fundament. Appl. Toxicol. 4:854-871.
5. FORTRAN 90 (1994-95). Microsoft Developer Studio, Fortran Powerstation Version 4.0, Microsoft Corp., Redmond, WA.
6. Hunt D., Bowman D. (2006). Modeling developmental data using u-shaped threshold dose-response curves. J. Appl. Statist. 33:35-47.
7. Hunt D., Rai S. N. (2003). A threshold dose-response model with random effects in teratological experiments. Commun. Statist. Theor. Meth. 32:1439-1457.
8. Kupper, L. L., Portier, C., Hogan, M. D., Yamamoto, E. (1986). The impact of litter effects on dose-response modeling in teratology. Biometrics 42:85-98.
9. Nelder, J. A., Mead, R. (1965). A simplex method for function minimization. Comput. J. 7:308-313.
10. Olsson, D. M. (1974). A sequential simplex program for solving minimization problems. Statist. Comput. Progr. 6:53-57.
11. Paul, S. R. (1982). Analysis of proportions of affected fetuses in teratological experiments. Biometrics 38:361-370.
12. Ryan, L. (1992). Quantitative risk assessment for developmental toxicity. Biometrics 48: 162-174.
13. Ryan, L. (2000). Statistical issues in toxicology. J. Amer. Statist. Assoc. 95:304-308.
14. SAS Institute Inc. (2002-2003). SAS OnlineDoc, Version 9.1, Cary, NC: SAS Institute Inc.
15. Tyl, R. W., Jones-Price, C., Marr, M. C., Kimmel., C. A. (1983). Teratological evaluation of diethylhexyl phthalate (CAS No. 117-81-7) in CD-1 mice. Final Study Report for NCTR/NTP Contract NO. 222-80-2031 9(c). NTIS NO. PB85105674, Springfield, VA: National Technical Information Service.
16. USEPA (1991). Guidelines for developmental toxicity risk assessment. Federal Register 56:63798-63826.
17. USEPA (2005). Guidelines for carcinogen risk assessment. Federal Register 70:17765-17817.
18. Williams, D. A. (1975). The analysis of binary responses from toxicological experiments involving reproduction and teratogenicity. Biometrics 31:949-952.