1 The Dartmouth Institute for Health Policy and Clinical Practice, Geisel School of Medicine at Dartmouth, Hanover, NH, USA.
2 Universidad Autónoma de Chile, Santiago, Chile.
Stat Methods Med Res. 2019 Jul;28(7):2032-2048. doi: 10.1177/0962280217747009. Epub 2017 Dec 15.
Diagnostic procedures are based on establishing certain conditions and then checking if those conditions are satisfied by a given individual. When the diagnostic procedure is based on a continuous marker, this is equivalent to fix a region or classification subset and then check if the observed value of the marker belongs to that region. Receiver operating characteristic curve is a valuable and popular tool to study and compare the diagnostic ability of a given marker. Besides, the area under the receiver operating characteristic curve is frequently used as an index of the global discrimination ability. This paper revises and widens the scope of the receiver operating characteristic curve definition by setting the classification subsets in which the final decision is based in the spotlight of the analysis. We revise the definition of the receiver operating characteristic curve in terms of particular classes of classification subsets and then focus on a receiver operating characteristic curve generalization for situations in which both low and high values of the marker are associated with more probability of having the studied characteristic. Parametric and non-parametric estimators of the receiver operating characteristic curve generalization are investigated. Monte Carlo studies and real data examples illustrate their practical performance.
诊断程序基于确定某些条件，然后检查给定个体是否满足这些条件。当诊断程序基于连续标记时，这相当于固定一个区域或分类子集，然后检查标记的观测值是否属于该区域。受试者工作特征曲线是一种研究和比较给定标记的诊断能力的有价值且流行的工具。此外，受试者工作特征曲线下面积常被用作整体判别能力的指标。本文通过将最终决策所基于的分类子集置于分析的焦点，对受试者工作特征曲线的定义进行了修订和扩展。我们根据特定的分类子集类别对受试者工作特征曲线的定义进行了修订，然后关注受试者工作特征曲线的推广，其中标记的低值和高值都与更有可能具有研究特征的概率相关。研究了受试者工作特征曲线推广的参数和非参数估计器，并通过蒙特卡罗研究和实际数据示例说明了它们的实际性能。
