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Receiver operating characteristic (ROC) curves are widely used as a measure of accuracy of diagnostic tests and can be summarized using the area under the ROC curve (AUC). Often, it is useful to construct a confidence intervals for the AUC,…

Applications · Statistics 2018-04-18 Hunyong Cho , Gregory J. Matthews , Ofer Harel

Complementary features of randomized controlled trials (RCTs) and observational studies (OSs) can be used jointly to estimate the average treatment effect of a target population. We propose a calibration weighting estimator that enforces…

Methodology · Statistics 2022-02-16 Dasom Lee , Shu Yang , Lin Dong , Xiaofei Wang , Donglin Zeng , Jianwen Cai

The Receiver Operating Characteristic (ROC) curve is a useful tool that measures the discriminating power of a continuous variable or the accuracy of a pharmaceutical or medical test to distinguish between two conditions or classes. In…

Methodology · Statistics 2022-07-26 Ana M. Bianco , Graciela Boente , Wenceslao Gonzalez-Manteiga

The receiver operating characteristic (ROC) curve is an important graphic tool for evaluating a test in a wide range of disciplines. While useful, an ROC curve can cross the chance line, either by having an S-shape or a hook at the extreme…

Methodology · Statistics 2024-07-02 Soutik Ghosal , Zhen Chen

Test-time scaling aims to improve language model performance by leveraging additional compute during inference. Many works have empirically studied techniques such as Best-of-N (BoN) and Rejection Sampling (RS) that make use of a verifier…

Machine Learning · Computer Science 2025-10-13 Florian E. Dorner , Yatong Chen , André F. Cruz , Fanny Yang

The receiver operating characteristic (ROC) curve is the most popular tool used to evaluate the discriminatory capability of diagnostic tests/biomarkers measured on a continuous scale when distinguishing between two alternative disease…

Methodology · Statistics 2021-03-22 Maria Xose Rodriguez-Alvarez , Vanda Inacio

Receiver operating characteristic (ROC) analysis is a tool to evaluate the capacity of a numeric measure to distinguish between groups, often employed in the evaluation of diagnostic tests. Overall classification ability is sometimes…

The area under a receiver operating characteristic curve (AUC) is a useful tool to assess the performance of continuous-scale diagnostic tests on binary classification. In this article, we propose an empirical likelihood (EL) method to…

Methodology · Statistics 2022-05-05 Chul Moon , Xinlei Wang , Johan Lim

Diagnostic tests are of critical importance in health care and medical research. Motivated by the impact that atypical and outlying test outcomes might have on the assessment of the discriminatory ability of a diagnostic test, we develop a…

When sufficient labeled data are available, classical criteria based on Receiver Operating Characteristic (ROC) or Precision-Recall (PR) curves can be used to compare the performance of un-supervised anomaly detection algorithms. However ,…

Machine Learning · Statistics 2016-07-06 Nicolas Goix

In meta-analysis of diagnostic test accuracy, summary receiver operating characteristic (SROC) is a recommended method to summarize the discriminant capacity of a diagnostic test in the presence of study-specific cutoff values and the area…

Methodology · Statistics 2023-01-10 Yi Zhou , Ao Huang , Satoshi Hattori

A fundamental challenge in robust visual-inertial odometry (VIO) is to dynamically assess the reliability of sensor measurements. This assessment is crucial for properly weighting the contribution of each measurement to the state estimate.…

Robotics · Computer Science 2025-10-03 Seungwon Choi , Donggyu Park , Seo-Yeon Hwang , Tae-Wan Kim

We have carried out a pilot study on a standard collection of electrocardiograms from patients who suffer from congestive heart failure, and subjects without cardiac pathology, using receiver-operating-characteristic (ROC) analysis. The…

chao-dyn · Physics 2007-05-23 Stefan Thurner , Markus C. Feurstein , Malvin C. Teich

The receiver operating characteristic (ROC) curve is a powerful statistical tool and has been widely applied in medical research. In the ROC curve estimation, a commonly used assumption is that larger the biomarker value, greater severity…

Methodology · Statistics 2023-02-24 Dingding Hu , Meng Yuan , Tao Yu , Pengfei Li

We propose efficient nonparametric statistics to compare medical imaging modalities in multi-reader multi-test data and to compare markers in longitudinal ROC data. The proposed methods are based on the weighted area under the ROC curve…

Applications · Statistics 2012-06-11 Liansheng Larry Tang , Aiyi Liu , Zhen Chen , Enrique F. Schisterman , Bo Zhang , Zhuang Miao

In this paper, we present three estimators of the ROC curve when missing observations arise among the biomarkers. Two of the procedures assume that we have covariates that allow to estimate the propensity and the estimators are obtained…

Receiver operating characteristic (ROC) analysis is one of the most popular approaches for evaluating and comparing the accuracy of medical diagnostic tests. Although various methodologies have been developed for estimating ROC curves and…

Methodology · Statistics 2022-08-16 Ainesh Sewak , Torsten Hothorn

Instrumental variable (IV) analyses are becoming common in health services research and epidemiology. Most IV analyses use naturally occurring instruments, such as distance to a hospital. In these analyses, investigators must assume the…

Methodology · Statistics 2019-07-04 Zach Branson , Luke Keele

In high-stakes risk prediction, quantifying uncertainty through interval-valued predictions is essential for reliable decision-making. However, standard evaluation tools like the receiver operating characteristic (ROC) curve and the area…

Machine Learning · Computer Science 2026-02-05 Yuqi Li , Matthew M. Engelhard

We obtain the upper error bounds of robust estimators for mean vector, using the median-of-means (MOM) method. The method is designed to handle data with heavy tails and contamination, with only a finite second moment, which is weaker than…

Statistics Theory · Mathematics 2026-05-12 Yuxuan Wang , Yiming Chen , Hanchao Wang , Lixin Zhang