LE3 .A278 2014

2014

Peng, Jianan

Acadia University

Master of Science

Masters

Mathematics and Statistics

Mathematics & Statistics

Risk assessment studies where data are collected to make safe low dose levels of a toxic compound/agent are challenging as dose-response information is constrained to high dose levels of the compound/agent (Piegorsch et al, 2005). Simultaneous hyperbolic bands for low-dose risk estimation with quantal data have been proposed in the literature. The quantal data is de ned as binomial data where the subjects are classi ed by whether or not they display any adverse health e ects. In this thesis, we propose to use three-segment bands instead of the currently used hyperbolic bands to make low dose inferences for quantal data in risk analysis. We will use the three-segment con dence bands to construct simultaneous con dence upper bounds on extra risk and simultaneous con dence lower bounds on the benchmark dose for quantal data. The proposed method is illustrated with a real data application and simulation studies.

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https://scholar.acadiau.ca/islandora/object/theses:363