A METHOD OF COMPARING THE AREAS UNDER RECEIVER OPERATING CHARACTERISTIC CURVES DERIVED FROM THE SAME CASES
A METHOD OF COMPARING THE AREAS UNDER RECEIVER OPERATING CHARACTERISTIC CURVES DERIVED FROM THE SAME CASES
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DOI：
10.1148/radiology.148.3.6878708
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发表时间：
1983-01-01
期刊：
影响因子：
19.7
通讯作者：
MCNEIL, BJ
中科院分区：
文献类型：
--
作者：
HANLEY, JA;MCNEIL, BJ
受试者工作特征（ROC）曲线用于描述和比较诊断技术和诊断算法的性能。本文通过考虑由数据的配对性质引起的区域之间的相关性，改进了来自同一组患者的两个ROC曲线下的区域的统计比较。使用ROC曲线下面积与Wilcoxon统计量之间的对应关系，并假设潜在的高斯分布（副正态分布），以提供一个表格，该表格将图像配对评级中观察到的相关性转换为两个ROC区域之间的相关性。这种区域间的相关性可用于减少所观察到的区域差异的标准误差（不确定性）。这种配对校正类似于配对t检验中使用的配对校正，可以显著提高比较的统计灵敏度（功效）。对于涉及多名阅片人的研究，该方法提供了难以获得的抽样变异分量的测量。
Receiver operating characteristic (ROC) curves are used to describe and compare the performance of diagnostic technology and diagnostic algorithms. This paper refines the statistical comparison of the areas under two ROC curves derived from the same set of patients by taking into account the correlation between the areas that is induced by the paired nature of the data. The correspondence between the area under an ROC curve and the Wilcoxon statistic is used and underlying Gaussian distributions (binormal) are assumed to provide a table that converts the observed correlations in paired ratings of images into a correlation between the two ROC areas. This between-area correlation can be used to reduce the standard error (uncertainty) about the observed difference in areas. This correction for pairing, analogous to that used in the paired t-test, can produce a considerable increase in the statistical sensitivity (power) of the comparison. For studies involving multiple readers, this method provides a measure of a component of the sampling variation that is otherwise difficult to obtain.