Smoothed Empirical Likelihood Inference for ROC Curves with Missing Data

Yueheng An

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DOI: 10.4236/ojs.2012.21003                

Abstract

The receiver operating characteristic (ROC) curve has been widely used in scientific research fields. After using the random hot deck imputation, we propose the smoothed empirical likelihood ratio statistic for the ROC curve with missing data. Its asymptotic distribution is a scaled chi-square distribution and empirical likelihood confidence intervals for ROC curves are constructed. The simulation study shows that the proposed interval estimates perform well based on the coverage probability for different sample sizes and response rates.

Keywords

Confidence Interval; Missing Data; ROC Curve; Smoothed Empirical Likelihood

Conflicts of Interest

The authors declare no conflicts of interest.

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