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Activity Number: 687
Type: Contributed
Date/Time: Thursday, August 8, 2013 : 10:30 AM to 12:20 PM
Sponsor: Biopharmaceutical Section
Abstract - #307760
Title: Confidence Interval Estimation for Sensitivity to the Early Disease Stage Based on Empirical Likelihood
Author(s): Tuochuan Dong*+ and Lili Tian
Companies: State University of New York At Buffalo and University at Buffalo
Keywords: Empirical likelihood ; Diagnostic tests ; The sensitivity to the early diseased
Abstract:

Many disease processes nowadays can be divided into three stages: i.e. the non-diseased stage, the early diseased stage and the fully diseased stage. To assess the accuracy of diagnostic tests for such disease, various summary indexes have been proposed, such as volume under the surface (VUS), partial volume under the surface (PVUS), and the sensitivity to the early diseased stage given specificity and the sensitivity to the fully diseased stage, referred later as P2, etc. Although the confidence interval for P2 has been discussed in Dong et al. (2011), when applied to more various distributions, their methods do not maintain the satisfactory performance. The authors define a new profile empirical likelihood ratio for P2 and show that its limiting distribution is a scaled chi-square distribution. Two new empirical likelihood-based confidence intervals are proposed and one of them is proven to outperform the existing methods. Simulation studies are carried out to assess the performance of the new methods and the existing ones. A real example data is analyzed using the discussed approaches.


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