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Estimation of Confidence Intervals of a GHROC Curve in the Presence of Scale and Shape Parameters

Author Affiliations

  • 1Department of Statistics, Pondicherry University, Puducherry 605014, INDIA
  • 2Department of Statistics, Pondicherry University, Puducherry 605014, INDIA

Res. J. Mathematical & Statistical Sci., Volume 3, Issue (10), Pages 1-8, October,12 (2015)

Abstract

Receiver operating characteristic (ROC) Curves are used to assess the accuracy of a diagnostic test in terms of Area under the ROC Curve (AUC). The present work focuses on constructing confidence intervals for an ROC Curve which is derived from two generalized distributions, named as GHROC Curve. Another objective of the paper is to highlight the importance of shape parameter in the explaining the true accuracy of a test. Simulation studies are conducted to demonstrate the proposed methodology using different combinations of scale and shape parameters with various sample sizes.

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