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ISSN Print: 2394-7500, ISSN Online: 2394-5869, CODEN: IJARPF

Impact Factor: RJIF 8.4

International Journal of Applied Research

Vol. 2, Issue 8, Part K (2016)

Asymmetric and symmetric properties of constant shape Bi-Weibull ROC curve described by Kullback-Leibler divergences

Author(s)
A Lavanya and T Leo Alexander
Abstract
Receiver Operating Characteristic (ROC) Curve is used for assessing the ability of a biomarker/screening test to discriminate between nondiseased and diseased subject. In this paper, the parametric ROC curve is studied by assuming Constant Shape Bi-Weibull distribution to the biomarker values. The ROC model developed under this assumption is called Constant Shape Bi-Weibull ROC (WROC) model. Here, the research interest is to know how far the biomarker will make a distinction between diseased and non-diseased subjects when the gold standard is available using parametric WROC curve. The accuracy of diagnostic test is depends on two populations and their characteristics. The properties of WROC curve that explains the behavior of the WROC curve are also discussed. In order to explain WROC properties, the concept of Kullback Leibler Divergence (KLD) is used to study the symmetric and asymmetry properties of WROC Curve. To explain this phenomenon, KLD has been estimated using a simulation study and a real data set.
Pages: 713-720  |  460 Views  9 Downloads
How to cite this article:
A Lavanya, T Leo Alexander. Asymmetric and symmetric properties of constant shape Bi-Weibull ROC curve described by Kullback-Leibler divergences. Int J Appl Res 2016;2(8):713-720.
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International Journal of Applied Research