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Simultaneous confidence bands for low‐dose risk estimation with quantal data
Author(s) -
Peng Jianan,
Robichaud Megan,
Alsubie Abdelaziz Q.
Publication year - 2015
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.201300250
Subject(s) - confidence interval , benchmark (surveying) , data set , statistics , low confidence , set (abstract data type) , computer science , mathematics , psychology , social psychology , geodesy , programming language , geography
Risk assessment studies where human, animal or ecological data are used to set safe low dose levels of a toxic agent are challenging as study information is limited to high dose levels of the agent. Simultaneous hyperbolic confidence bands for low‐dose risk estimation with quantal data have been proposed in the literature. In this paper, a new method using three‐segment confidence bands to construct simultaneous upper confidence limits on extra risks and simultaneous lower bounds on the benchmark dose for quantal data is proposed. The proposed method is illustrated with a real data application and simulation studies.