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Activity Number: 362
Type: Topic Contributed
Date/Time: Tuesday, August 4, 2009 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Epidemiology
Abstract - #305315
Title: Classifier Variability: Accounting for Training and Testing
Author(s): Weijie Chen*+ and Brandon D. Gallas
Companies: FDA and FDA
Address: 10903 New Hampshire Ave, CDHR, Silver Spring, MD, 20993,
Keywords: classification ; training variability ; U-statistics
Abstract:

This paper concerns the statistical evaluation of classifiers that are commonly used to combine multiple biomarkers to predict the presence or absence of certain disease. A classifier is typically trained with a finite data set and tested on an independent finite data set. We consider two sources of variability of the estimated performance of such a classifier: the finite size of the training set and the finite size of the testing set. We mimic multiple training sets by bootstrapping the training data set. We investigated U-statistics variance estimators for (a)the estimated conditional AUC that is conditional on a training data set; (b) the estimated mean AUC where the mean is over multiple training sets. Our U-statistics variance estimators are unique minimum variance unbiased estimators. We demonstrate our methodology with simulated data sets as well as real-world genomic data sets.


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