DESCRIPTION: (Adapted from investigator's abstract) This project develops
and studies statistical confidence bounds useful for low-dose extrapolation
in quantitative risk analysis. Application is intended for those risk
assessment studies where human or animal data are used to set benchmark or
other safe low-dose levels of a toxic stimulus, but where study information
is limited to high dose levels of the stimulus. Methods are derived for
estimating upper confidence limits on predicted risk and on predicted
additional risk for various endpoints, measured on both continuous and
discrete scales. From the simultaneous confidence bounds, lower confidence
limits on the "effective" stimulus or dose (ED) associated with a particular
risk are calculated. An important feature of the simultaneous construction
is that any inferences based on inverting the simultaneous confidence bounds
apply automatically to inverse bounds on the ED.
The methodology extends existing theory on simultaneous prediction bands
which applies to mathematical prediction equations useful in quantitative
risk assessment/low-dose extrapolation problems. New concepts developed in
order to achieve these goals include simultaneous band optimization in
low-dose regions of the dose scale, and application to non-normally
distributed data and to non-linear, possibly non-monotone dose-response
functions. Extensions to simultaneous bounds useful in unlimited inverse
prediction for low-dose extrapolation also are considered. An evaluation
phase of the project studies the small-sample operating characteristics of
the new methodology via Monte Carlo computer calculations, and applies the
new methods to existing data for a number of low-dose risk endpoints,
including concentration levels of detrimental toxins or toxic metabolites in
human or animal subjects, body weight losses in laboratory animals, mutation
frequencies in transgenic animals and other transgenic systems, mutational
spectra in human or animal/transgenic systems, carcinogenicity rates in
laboratory animals, or reproductive capacity limitations in aquatic or other
eco-toxicological systems. The new methods fill existing gaps in low-dose
risk extrapolation, and have application to a wide variety of data-analytic
scenarios in quantitative risk assessment.
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