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The Receiver Operating Characteristic (ROC) surface is a generalization of ROC curve and is widely used for assessment of the accuracy of diagnostic tests on three categories. A complication called the verification bias, meaning that not…

应用统计 · 统计学 2018-03-20 Rui Zhu , Subhashis Ghosal

Area Under the Receiver Operating Characteristic Curve (AUC-ROC) is a popular evaluation metric for binary classifiers. In this paper, we discuss techniques to segment the AUC-ROC along human-interpretable dimensions. AUC-ROC is not an…

机器学习 · 计算机科学 2022-05-25 Arya Tafvizi , Besim Avci , Mukund Sundararajan

In conditional copula models, the copula parameter is deterministically linked to a covariate via the calibration function. The latter is of central interest for inference and is usually estimated nonparametrically. However, when a…

统计方法学 · 统计学 2014-03-19 Elif F. Acar , Radu V. Craiu , Fang Yao

Identifying how dependence relationships vary across different conditions plays a significant role in many scientific investigations. For example, it is important for the comparison of biological systems to see if relationships between…

统计方法学 · 统计学 2023-07-31 Hoseung Song , Michael C. Wu

The area under the receiver-operating characteristic curve (AUC) has become a popular index not only for measuring the overall prediction capacity of a marker but also the association strength between continuous and binary variables. In the…

统计方法学 · 统计学 2023-10-12 Pablo Martinez-Camblor , Sonia Perez-Fernandez , Lucas L. Dwiel , Wilder T. Doucette

This article studies the problem whether two convex (concave) regression functions modelling the relation between a response and covariate in two samples differ by a shift in the horizontal and/or vertical axis. We consider a nonparametric…

统计理论 · 数学 2019-08-14 Holger Dette , Subhra Sankar Dhar , Weichi Wu

The Kendall plot ($\K$-plot) is a plot measuring dependence between the components of a bivariate random variable. The $\K$-plot graphs the Kendall distribution function against the distribution function of $VU$, where $V$ and $U$ are…

统计理论 · 数学 2018-11-22 Albert Vexler , Georgios Afendras , Marianthi Markatou

ROC analyses are considered under a variety of assumptions concerning the distributions of a measurement $X$ in two populations. These include the binormal model as well as nonparametric models where little is assumed about the form of…

应用统计 · 统计学 2021-03-02 Luai Al Labadi , Michael Evans , Qiaoyu Liang

Many inference techniques for multivariate data analysis assume that the rows of the data matrix are realizations of independent and identically distributed random vectors. Such an assumption will be met, for example, if the rows of the…

统计理论 · 数学 2015-12-31 Peter D. Hoff

To evaluate a classification algorithm, it is common practice to plot the ROC curve using test data. However, the inherent randomness in the test data can undermine our confidence in the conclusions drawn from the ROC curve, necessitating…

统计方法学 · 统计学 2024-05-22 Zheshi Zheng , Bo Yang , Peter Song

In this paper we focus on comparative diagnostic trials which are frequently employed to compare two markers with continuous or ordinal results. We derive explicit expressions for the optimal sampling ratio based on a common variance…

应用统计 · 统计学 2012-06-19 Ting Dong , Liansheng Larry Tang , William F. Rosenberger

The classical concept of inequality curves and measures is extended to conditional inequality curves and measures and a curve of conditional inequality measures is introduced. This extension provides a more nuanced analysis of inequality in…

统计理论 · 数学 2025-04-23 Alicja Jokiel-Rokita , Sylwester Piątek , Rafał Topolnicki

The ROC curve is widely used to assess binary classifiers. Yet for some applications, such as alert systems for monitoring hospitalized patients, conventional ROC analysis cannot meet two key deployment needs: enforcing a constraint on…

机器学习 · 计算机科学 2026-04-03 Christopher Ratigan , Kyle Heuton , Carissa Wang , Lenore Cowen , Michael C. Hughes

This paper focuses on the problem of testing the null hypothesis that the regression functions of several populations are equal under a general nonparametric homoscedastic regression model. It is well known that linear kernel regression…

统计方法学 · 统计学 2023-09-01 Graciela Boente , Juan Carlos Pardo-Fernández

This paper considers multiple regression procedures for analyzing the relationship between a response variable and a vector of covariates in a nonparametric setting where both tuning parameters and the number of covariates need to be…

统计理论 · 数学 2007-06-13 Chad M. Schafer , Kjell A. Doksum

We present a general nonparametric approach for testing whether a statistical parameter defined through conditional distributions is constant across the conditioning variables. Such hypotheses arise naturally in problems such as assessing…

统计方法学 · 统计学 2026-04-23 Albert Osom , Ali Shojaie , Aaron Hudson

ROC curves and cost curves are two popular ways of visualising classifier performance, finding appropriate thresholds according to the operating condition, and deriving useful aggregated measures such as the area under the ROC curve (AUC)…

人工智能 · 计算机科学 2011-08-01 José Hernández-Orallo , Peter Flach , Cèsar Ferri

Multi-objective probabilistic model checking provides a way to verify several, possibly conflicting, quantitative properties of a stochastic system. It has useful applications in controller synthesis and compositional probabilistic…

计算机科学中的逻辑 · 计算机科学 2015-03-20 Vojtech Forejt , Marta Kwiatkowska , David Parker

This paper proposes a task-driven computational framework for assessing diffusion MRI experimental designs which, rather than relying on parameter-estimation metrics, directly measures quantitative task performance. Traditional…

医学物理 · 物理学 2021-10-12 Sean C. Epstein , Timothy J. P. Bray , Margaret A. Hall-Craggs , Hui Zhang

Assessment of risk prediction models has primarily utilized measures of discrimination, the ROC curve AUC and C-statistic. These derive from the risk distributions of patients and nonpatients, which in turn are derived from a population…

定量方法 · 定量生物学 2023-12-05 Ralph H. Stern