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Title: Combining multiple markers for multi-category classification: An roc surface approach
Authors: Zhang, Y.
Li, J. 
Keywords: Bootstrap
Hypervolume under the ROC manifold
Maximum rank correlation estimator
Multi-category classification
Volume under the ROC surface
Issue Date: Mar-2011
Citation: Zhang, Y., Li, J. (2011-03). Combining multiple markers for multi-category classification: An roc surface approach. Australian and New Zealand Journal of Statistics 53 (1) : 63-78. ScholarBank@NUS Repository.
Abstract: The Receiver Operating Characteristic (ROC) curve and the Area Under the ROC Curve (AUC) are effective statistical tools for evaluating the accuracy of diagnostic tests for binary-class medical data. However, many real-world biomedical problems involve more than two categories. The Volume Under the ROC Surface (VUS) and Hypervolume Under the ROC Manifold (HUM) measures are extensions for the AUC under three-class and multiple-class models. Inference methods for such measures have been proposed recently. We develop a method of constructing a linear combination of markers for which the VUS or HUM of the combined markers is maximized. Asymptotic validity of the estimator is justified by extending the results for maximum rank correlation estimation that are well known in econometrics. A bootstrap resampling method is then applied to estimate the sampling variability. Simulations and examples are provided to demonstrate our methods. © 2011 Australian Statistical Publishing Association Inc..
Source Title: Australian and New Zealand Journal of Statistics
ISSN: 13691473
DOI: 10.1111/j.1467-842X.2011.00603.x
Appears in Collections:Staff Publications

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