Downloads: 142 | Views: 332
Research Paper | Statistics | India | Volume 5 Issue 8, August 2016 | Popularity: 6.8 / 10
Confidence Intervals Estimation for ROC Curve, AUC and Brier Score under the Constant Shape Bi-Weibull Distribution
A. Lavanya, T. Leo Alexander
Abstract: The accuracy of diagnostic test is typically evaluated by sensitivity and specificity. Receiver Operating Characteristic (ROC) curve analysis is one of the most familiar techniques and it will provide accuracy for the extent of correct classification of a test and it is a graphical representation of the relationship between sensitivity and specificity. The conventional way of expressing the true accuracy of test is by using its summary measures Area Under the Curve (AUC) and Brier Score (B). Hence the main issue in assessing the accuracy of a diagnostic test is to estimate the ROC curve and its AUC and Brier Score. The ROC curve generated based on assuming a Constant Shape Bi-Weibull distribution. This article assumes that the biomarker values from the two groups follow Weibull distributions with equal shape parameter and different scale parameters. The ROC model, AUC, MLE, asymptotic, bootstrap confidence intervals for the AUC, asymptotic confidence intervals for the ROC curve and Brier Score are derived. However, the accuracy of a test is to be explained by involving the scale and shape parameters. Theoretical results are validated by simulation studies. An illustrative example is also provided to explain the concepts.
Keywords: AUC, Brier Score, Constant Shape Bi-Weibull ROC model, Confidence Interval, MLE, Parametric bootstrap variance
Edition: Volume 5 Issue 8, August 2016
Pages: 371 - 378
Make Sure to Disable the Pop-Up Blocker of Web Browser
Similar Articles
Downloads: 51 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper, Statistics, India, Volume 9 Issue 12, December 2020
Pages: 1603 - 1610Poisson Inverse NHE Distribution with Theory and Applications
Arun Kumar Chaudhary, Vijay Kumar
Downloads: 107
Research Paper, Statistics, Kenya, Volume 3 Issue 8, August 2014
Pages: 2081 - 2087Jackknife Variance Estimation of Uniformly Minimum Variance Unbiased Estimates and the Maximum Likelihood Estimates for the Gamma Probability Density Function
Lillian A. Oluoch, Leo O. Odongo
Downloads: 113
Research Paper, Statistics, Egypt, Volume 4 Issue 9, September 2015
Pages: 1805 - 1813Bayesian and Non Bayesian Estimations for Birnbaum-Saunders Distribution under Partially Accelerated Life Testing Based on Censoring Sampling
Mohamed S. Hamouda
Downloads: 114
Research Paper, Statistics, Nigeria, Volume 4 Issue 3, March 2015
Pages: 1551 - 1560The Dual Activation of the Geometric Inverse Burr Distribution: Comparison Between Maximum and Minimum
Abdullahi Yusuf, Badamasi M Bashir
Downloads: 114 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Research Paper, Statistics, India, Volume 5 Issue 6, June 2016
Pages: 1869 - 1871Bayesian Analysis of Rayleigh Distribution Under Quasi-Prior for Different Loss Functions
Paresh Sanat, R. S. Srivastava