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Abstract Details

Activity Number: 217
Type: Invited
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #303731
Title: Nonparametric Regression with Group Testing Data
Author(s): Aurore Delaigle*+ and Peter Hall and Alexander Meister
Companies: University of Melbourne and University of Melbourne and University of Rostock
Address: Department of Mathematics and Statistics, The University of Melbourne, , Australia
Keywords: group testing ; nonparametetric ; measurement errors
Abstract:

To reduce cost and increase speed of large screening studies, data are often pooled in groups. In these cases, instead of carrying out a test (say a blood test) on all individuals in the study to see if they if they are infected or not, one only tests the pooled blood of all individuals in each group. We consider this problem when a covariate is also observed, and one is interested in estimating the conditional probability of contamination. We show how to estimate this conditional probability using a simple nonparametric estimator. We suggest different methods depending on the type of grouping. We illustrate the procedure on data from the NHANES study


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