TY - JOUR
T1 - Simultaneous confidence bands for Abbott-adjusted quantal response models in benchmark analysis
AU - Buckley, Brooke E.
AU - Piegorsch, Walter W.
N1 - Funding Information:
Portions of this research were conducted while both authors were with the University of South Carolina Department of Statistics. Thanks are due to Drs. R. Webster West, Brian T. Habing, Obaid M. Al-Saidy, Daniela K. Nitcheva, Ralph L. Kodell, and an anonymous reviewer for their helpful suggestions. This work was funded under grant #R01-CA76031 from the US National Cancer Institute, grant #RD-83241901 from the US Environmental Protection Agency, and as part of the research arm of the US Department of Homeland Security’s Center of Excellence for the Study of Terrorism and Responses to Terrorism (START). Its contents are solely the responsibility of the authors and do not necessarily reflect the official views of these various agencies.
PY - 2008/5
Y1 - 2008/5
N2 - We study the use of a Scheffé-style simultaneous confidence band as applied to low-dose risk estimation with quantal response data. We consider two formulations for the dose-response risk function, an Abbott-adjusted Weibull model and an Abbott-adjusted log-logistic model. Using the simultaneous construction, we derive methods for estimating upper confidence limits on predicted extra risk and, by inverting the upper bands on risk, lower bounds on the benchmark dose, or BMD, at a specific level of 'benchmark risk'. Monte Carlo evaluations explore the operating characteristics of the simultaneous limits.
AB - We study the use of a Scheffé-style simultaneous confidence band as applied to low-dose risk estimation with quantal response data. We consider two formulations for the dose-response risk function, an Abbott-adjusted Weibull model and an Abbott-adjusted log-logistic model. Using the simultaneous construction, we derive methods for estimating upper confidence limits on predicted extra risk and, by inverting the upper bands on risk, lower bounds on the benchmark dose, or BMD, at a specific level of 'benchmark risk'. Monte Carlo evaluations explore the operating characteristics of the simultaneous limits.
KW - Benchmark dose
KW - Carcinogenic risk assessment
KW - Log-logistic dose-response model
KW - Quantitative risk analysis
KW - Weibull dose-response model
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U2 - 10.1016/j.stamet.2007.08.001
DO - 10.1016/j.stamet.2007.08.001
M3 - Article
AN - SCOPUS:41949130283
SN - 1572-3127
VL - 5
SP - 209
EP - 219
JO - Statistical Methodology
JF - Statistical Methodology
IS - 3
ER -