Excess risk estimation under multistage model misspecification

Journal of Statistical Computation and Simulation

Volumn 76, Issue 5, 2006, Pages 423-430

  Piegorsch, Walter W ^a,b   Nitcheva, Daniela K ^a,b   West, R Webster ^a  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

^b South Carolina Cancer Center   (United States)

Author keywords

Extra risk; Generalized trapezoidal confidence bands; One sided confidence bands; Proportional width confidence bands; Quantal response data; Quantitative Risk Assessment; Risk analysis; Safety assessment; Scheff S method

Indexed keywords

EID: 30944465241     PISSN: 00949655     EISSN: None     Source Type: Journal    
DOI: 10.1080/10629360500107808     Document Type: Conference Paper

References (19)

1. Gaylor, D.W., and Kodell, R.L., 2002, A procedure for developing risk-based reference doses. Regulatory Toxicology and Pharmacology, 35, 137-141.
2. Bailer, A.J. and See, K., 1998, Individual-based risk estimation for count responses. Environmental Toxicology and Chemistry, 17, 530-533.
3. Edler, L. and Kopp-Schneider, A., 1998, Statistical models for low dose exposure. Mutation Research, 405, 227-236.
4. Krewski, D. and van Ryzin, J., 1981, Dose response models for quantal response toxicity data. In: M. Csörgö, D.A. Dawson, J.N.K. Rao and A.K.M.E. Saleh (Eds) Statistics and Related Topics (Amsterdam: North-Holland), pp. 201-231.
5. Armitage, P. and Doll, R., 1954, The age distribution of cancer and a multi-stage theory of carcinogenesis. British Journal of Cancer, 8, 1-12.
6. Al-Saidy, O.M., Piegorsch, W.W., West, R.W. and Nitcheva, D.K., 2003, Confidence bands for low-dose risk estimation with quantal response data. Biometrics, 59, 1056-1062.
7. Guess, H.A. and Crump, K.S., 1976, Low-dose extrapolation of data from animal carcinogenicity experiments -Analysis of a new statistical technique. Mathematical Biosciences, 32, 15-36.
8. Scheffé, H., 1953, A method for judging all contrasts in the analysis of variance. Biometrika, 40, 87-104.
9. Pan, W., Piegorsch, W.W. and West, R.W., 2003, Exact one-sided simultaneous confidence bands via Uusipaikka's method. Annals of the Institute of Statistical Mathematics, 55, 243-250.
10. Bowden, D.C. and Graybill, F.A., 1966, Confidence bands of uniform and proportional width for linear models. Journal of the American Statistical Association, 61, 182-198.
11. Piegorsch. W.W., West, R.W., Al-Saidy, O.M. and Bradley. K.D., 2000. Asymmetric confidence bands for simple linear regression over bounded intervals. Computational Statistics and Data Analysis, 34, pp. 193-217.
12. Piegorsch, W.W., 1987, Model robustness for simultaneous confidence bands. Journal of the American Statistical Association, 82, 879-885.
13. Portier, C.J., 1994, Biostatistical issues in the design and analysis of animal carcinogenicity experiments. Environmental Health Perspectives, 102 (Suppl. 1), 5-8.
14. Loader, C. and Sun, J.-Y., 1997, Robustness of tube formula-based confidence bands. Journal of Computational and Graphical Statistics, 6, 242-250.
15. National Bureau of Standards, 1959, Tables of the Bivariate Normal Distribution Function and Related Functions, Vol. 50 (Washington, DC: US Government Printing Office).
16. Divgi, D.R., 1979, Calculation of univariate and bivariate normal probability functions. Annals of Statistics, 7, 903-910.
17. Terza, J.V. and Welland, U., 1991, A comparison of bivariate normal algorithms. Journal of Statistical Computation and Simulation, 39, 115-127.
18. Krishnaiah, PR., Armitage, J.V. and Breiter, M.C. 1969, Tables for the probability integrals of the bivariate t distribution. Technical Report number ARL-69-0060. Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, Wright-Patterson Air Force Base, OH.
19. Genz, A. (2004), Numerical computation of rectangular bivariate and trivariate normal and r probabilities. Statistics and Computing, 14, 251-260.