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Activity Number: 281
Type: Topic Contributed
Date/Time: Tuesday, July 31, 2012 : 8:30 AM to 10:20 AM
Sponsor: Biopharmaceutical Section
Abstract - #305697
Title: Using Local Likelihood Density Estimation for Bias Correction at and Near a Boundary in the Context of Diagnostic Test Evaluation
Author(s): Norberto Pantoja*+ and Mary E Thompson
Companies: FDA and University of Waterloo
Address: 10903 New Hampshire Avenue, Silver Spring, MD, 20993-0002, United States
Keywords: Density estimation ; Density with discontinuity ; Diagnostic tests

An important component in the evaluation of diagnostic tests is the estimation and visualization of the distributions (or probability density functions) of the diagnostic test results for the diseased and non-diseased subjects in a study population. The intuitive appeal of kernel density estimation makes it an attractive candidate to obtain nonparametric estimates of such probability density functions. However, in spite of the advantages presented by standard kernel density estimation techniques, a problem of increased bias at and near a known boundary is present in certain scenarios. We develop a local likelihood estimation method that is suitable for a density which is believed to have a discontinuity at and near a known boundary. We produce an estimator that corrects boundary bias. Potential applications in the context of diagnostic test evaluation are discussed.

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