Kernel-Based Interval Estimates of Inverse Dose Response With Applications to Genetic Clines

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Kernel-Based Interval Estimates of Inverse Dose Response With Applications to Genetic Clines

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Title: Kernel-Based Interval Estimates of Inverse Dose Response With Applications to Genetic Clines
Author: Lo, Annie
Abstract: We investigate nonparametric regression techniques to estimate the distribution of the LD<sub>100&alpha;</sub>, 0 <&alpha; < 1, the lethal dose where 100&alpha;% of subjects show a response. Kernel methods are used to estimate the resulting response probability curve using real and simulated data. We apply and extend these kernel-based estimation procedures to a problem in evolutionary genetics where the prevalence of a genetic trait is mapped. In this setting, distance serves as a dose and the response probability curve is called a cline. We investigate the distributional properties of kernel estimates of LD<sub>100&alpha;</sub> with special attention to the LD<sub>20</sub>, LD<sub>80</sub>, and the distance between them, called the cline width. Confidence intervals are constructed for LD<sub>20</sub>, LD<sub>80</sub>, and the cline width and small sample properties are investigated through series expansion and simulation.
Description: Degree awarded: Ph.D. Mathematics and Statistics. American University
URI: http://hdl.handle.net/1961/11071
Date: 2012-08-22


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