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The Receiver Operating Characteristic (ROC) is a well-established representation of the tradeoff between detection and false alarm probabilities in binary hypothesis testing. In many practical contexts ROC's are generated by thresholding a…

Statistics Theory · Mathematics 2020-12-16 Catherine Medlock , Alan Oppenheim

For a binary system specified by the density operators r0 and r1 and by the prior probabilities q0 and q1, Helstrom's theory permits the evaluation of the optimal measurement operators and of the corresponding maximum correct detection…

Information Theory · Computer Science 2010-10-27 Gianfranco Cariolaro , Alberto Vigato

The Receiver Operating Characteristic (ROC) curve of a binary classifier has often been utilized to measure the performance of the classifier. The area beneath this curve is used in particular because of its quoted probabilistic…

Machine Learning · Computer Science 2026-05-05 Steven Redolfi

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…

Receiver operating characteristic (ROC) curves are used ubiquitously to evaluate covariates, markers, or features as potential predictors in binary problems. We distinguish raw ROC diagnostics and ROC curves, elucidate the special role of…

Methodology · Statistics 2018-09-14 Tilmann Gneiting , Peter Vogel

The optimal receiver operating characteristic (ROC) curve, giving the maximum probability of detection as a function of the probability of false alarm, is a key information-theoretic indicator of the difficulty of a binary hypothesis…

Information Theory · Computer Science 2025-06-10 Bruce Hajek , Xiaohan Kang

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

The receiver operating characteristic curve is widely applied in measuring the performance of diagnostic tests. Many direct and indirect approaches have been proposed for modelling the ROC curve, and because of its tractability, the…

Methodology · Statistics 2017-10-09 Amay Cheam , Paul D. McNicholas

Verification bias is a well-known problem that may occur in the evaluation of predictive ability of diagnostic tests. When a binary disease status is considered, various solutions can be found in the literature to correct inference based on…

Methodology · Statistics 2023-04-10 Khanh To Duc , Monica Chiogna , Gianfranco Adimari

The ROC (receiver operating characteristic) curve is a widely used device for assessing decision-making systems. It seems surprising, in view of its history dating back to World War Two, that the assignment of uncertainties to a ROC curve…

Data Analysis, Statistics and Probability · Physics 2024-08-19 M. P. Fewell

Throughout science and technology, receiver operating characteristic (ROC) curves and associated area under the curve (AUC) measures constitute powerful tools for assessing the predictive abilities of features, markers and tests in binary…

Machine Learning · Statistics 2021-06-25 Tilmann Gneiting , Eva-Maria Walz

We provide a description of the problem of the discrimination of two quantum states in terms of receiver operation characteristics analysis, a prevalent approach in classical statistics. Receiveroperation characteristics diagrams provide an…

Quantum Physics · Physics 2016-03-23 Andras Bodor , Matyas Koniorczyk

The receiver operating characteristic (ROC) curve is a very useful tool for analyzing the diagnostic/classification power of instruments/classification schemes as long as a binary-scale gold standard is available. When the gold standard is…

Methodology · Statistics 2011-05-10 Zhanfeng Wang , Yuan-chin Ivan Chang

Paired comparison models are used for analyzing data that involves pairwise comparisons among a set of objects. When the outcomes of the pairwise comparisons have no ties, the paired comparison models can be generalized as a class of binary…

Methodology · Statistics 2022-11-29 Ran Huo , Mark E. Glickman

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

In diagnostic studies, researchers frequently encounter imperfect reference standards with some misclassified labels. Treating these as gold standards can bias receiver operating characteristic (ROC) curve analysis. To address this issue,…

Methodology · Statistics 2025-02-13 Yifan Sun , Peijun Sang , Qinglong Tian , Pengfei Li

Receiver operating characteristic (ROC) curve is an informative tool in binary classification and Area Under ROC Curve (AUC) is a popular metric for reporting performance of binary classifiers. In this paper, first we present a…

Machine Learning · Computer Science 2021-09-14 Khashayar Namdar , Masoom A. Haider , Farzad Khalvati

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

A functional analysis of the task of observing multiple macroscopic quantum systems over an extended period of time and then reporting the accumulated results is used to investigate the information that must be encoded in the "ready" state…

Quantum Physics · Physics 2011-03-08 Chris Fields

In analysis of binary outcomes, the receiver operator characteristic (ROC) curve is heavily used to show the performance of a model or algorithm. The ROC curve is informative about the performance over a series of thresholds and can be…

Computation · Statistics 2020-08-10 John Muschelli
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