This article concerns evaluating the effectiveness of a continuous diagnostic biomarker against a continuous gold standard that is measured with error. Extending the work of Obuchowski (2005, 2016), Wu et al (2016) suggested an accuracy index and proposed an estimator for the index with error‐prone standard when the reliability coefficient is known. Combining with additional measurements (without measurement errors) on the continuous gold standard collected from some subjects, this article proposes two adaptive estimators of the accuracy index when the reliability coefficient is unknown, and further establish the consistency and asymptotic normality of these estimators. Simulation studies are conducted to compare various estimators. Data from an intervention trial on glycemic control among children with type 1 diabetes are used to illustrate the proposed methods.

中文翻译：

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根据连续金标准对生物标志物的诊断准确性指标进行错误校正的估计

本文涉及评估连续诊断生物标记物相对于错误测量的连续金标准的有效性。Wu等人（2016）扩展了Obuchowski（2005，2016）的工作，提出了准确性指标，并在可靠性系数已知的情况下提出了具有易错标准的指标的估计量。结合从某些主题收集的连续金标准的其他测量结果（无测量误差），本文提出了在可靠性系数未知的情况下准确性指标的两个自适应估计量，并进一步建立了这些估计量的一致性和渐近正态性。进行仿真研究以比较各种估计量。