A solution for the most basic optimization problem associated with an ROC curve
A solution for the most basic optimization problem associated with an ROC curve
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DOI：
10.1177/0962280206070637
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发表时间：
2006-01-01
影响因子：
2.3
通讯作者：
Le, Chap T.
中科院分区：
文献类型：
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作者：
Le, Chap T.
在少数情况下，如早孕测试，测试结果是二分法的;然而，许多诊断测试给出的结果不是二元的。在前列腺癌的诊断中，前列腺特异性抗原检测结果是连续的;或者，在放射学中，乳房X线照片的评估是有序的。在这种情况下，标记物或测试的准确性通常首先总结在受试者工作特征（ROC）曲线中，然后作为该曲线下的面积。然而，ROC曲线下面积仅显示标记物的“潜力”;迟早，为了实际应用，我们仍然需要对测试结果进行二分法，以便我们可以将受试者分类为“患病”或“健康”。寻找一个“最佳”的切割点来二分一个连续的标记是可取的，是一个非常基本的问题，但在所有或大多数情况下，在实践中使用的切割点是任意的。困难在于我们未能定义和证明最优性的标准。在本文中，我们将提出一个解决方案，通过最大限度地提高一个众所周知的参数-约登指数的ROC曲线的框架内。
In a few cases, such as early pregnancy tests, the test results are dichotomous; many diagnostic tests, however, give results which are not binary. In the diagnosis of prostate cancer, prostate-specific antigen test result is on a continuous scale; or, in radiology, assessment of mammograms is on an ordinal scale. in such cases, the accuracy of the marker or test is often first summarized in a receiver operating characteristic (ROC) curve and then as the area under that curve. The area under the ROC curve, however, only shows the 'potential' of a marker; sooner or later, for practical uses, we still need to dichotomize the test result so that we can classify subjects as 'diseased' or 'healthy'. Finding an 'optimal' cutpoint to dichotomize a continuous marker is desirable and is a very basic problem but, in all or most cases, cutpoints used in practice are arbitrary. The difficulty lies in our failure to define and justify a criterion for optimality. In this paper, we will propose a solution by maximizing a well-known parameter-the Youden's Index-within the framework of the ROC curve.