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Improved Confidence Intervals for the Youden Index

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  • Guogen Shan

Abstract

The Youden Index is a summary measurement of the receiver operating characteristic (ROC) curve for the accuracy of a diagnostic test with ordinal or continuous endpoints. The bootstrap confidence interval based on the adjusted proportion estimate was shown to have satisfactory performance among the existing confidence intervals, including the parametric interval via the delta method. In this article, we propose two confidence intervals using the square-and-add limits based on the Wilson score method. We compare the two proposed intervals with the existing interval with extensive simulation studies. The new interval based on the empirical proportion estimate generally has better performance than that based on the adjusted proportion estimate. A real example from a clinical trial of prostate cancer is illustrated for the application of the new intervals.

Suggested Citation

  • Guogen Shan, 2015. "Improved Confidence Intervals for the Youden Index," PLOS ONE, Public Library of Science, vol. 10(7), pages 1-19, July.
  • Handle: RePEc:plo:pone00:0127272
    DOI: 10.1371/journal.pone.0127272
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    Cited by:

    1. Houshmand Masoumi, 2021. "Residential Location Choice in Istanbul, Tehran, and Cairo: The Importance of Commuting to Work," Sustainability, MDPI, vol. 13(10), pages 1-18, May.
    2. Alba M. Franco-Pereira & Christos T. Nakas & M. Carmen Pardo, 2020. "Biomarker assessment in ROC curve analysis using the length of the curve as an index of diagnostic accuracy: the binormal model framework," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 104(4), pages 625-647, December.
    3. Alibek Orynbassar & Yershat Sapazhanov & Shirali Kadyrov & Irina Lyublinskaya, 2022. "Application of ROC Curve Analysis for Predicting Students’ Passing Grade in a Course Based on Prerequisite Grades," Mathematics, MDPI, vol. 10(12), pages 1-11, June.

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