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Zbl 1225.62144
Al-Saidy, Obaid M.; Piegorsch, Walter W.; West, R.Webster; Nitcheva, Daniela K.
Confidence bands for low-dose risk estimation with quantal response data. (English)
[J] Biometrics 59, No. 4, 1056-1062 (2003). ISSN 0006-341X; ISSN 1541-0420/e

Summary: We study the use of simultaneous confidence bands for low-dose risk estimation with quantal response data, and derive methods for estimating simultaneous upper confidence limits on predicted extra risk under a multistage model. By inverting the upper bands on extra risk, we obtain simultaneous lower bounds on the benchmark dose (BMD). Monte Carlo evaluations explore characteristics of the simultaneous limits under this setting, and a suite of actual data sets are used to compare existing methods for placing lower limits on the BMD.

MSC 2000:: *62P10 Appl. of statistics to biology
62F25 Parametric confidence regions, etc.

Keywords: benchmark analysis; benchmark dose; carcinogenic risk assessment; low-dose extrapolation; multistage model; quantal data; quantitative risk analysis; simultaneous confidence bounds; toxicology

Cited in: Zbl 1225.62038

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