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The accuracy of a diagnostic test is typically characterised using the receiver operating characteristic (ROC) curve. Summarising indexes such as the area under the ROC curve (AUC) are used to compare different tests as well as to measure…

Methodology · Statistics 2010-12-30 Fang Yao , Radu V. Craiu , Benjamin Reiser

We consider change-point tests based on rank statistics to test for structural changes in long-range dependent observations. Under the hypothesis of stationary time series and under the assumption of a change with decreasing change-point…

Statistics Theory · Mathematics 2020-10-01 Annika Betken , Martin Wendler

This paper derives the rate of convergence and asymptotic distribution for a class of Kolmogorov-Smirnov style test statistics for conditional moment inequality models for parameters on the boundary of the identified set under general…

Applications · Statistics 2011-12-06 Timothy B. Armstrong

Standard tests of the "no-treatment-effect" hypothesis for a comparative experiment include permutation tests, the Wilcoxon rank sum test, two-sample $t$ tests, and Fisher-type randomization tests. Practitioners are aware that these…

Methodology · Statistics 2015-09-11 Joseph B. Lang

Given two networks of differing sizes, it is of interest to test whether the two networks belong to the same distribution. We formalize the notion of "equality of distribution" under the framework of the generalized random dot product…

Statistics Theory · Mathematics 2026-03-10 Joshua Agterberg , Minh Tang , Carey Priebe

Even though the one-dimensional contact interaction requires no regularization, renormalization methods have been shown to improve the convergence of numerical ab initio calculations considerably. In this work, we compare and contrast these…

Given samples from two non-negative random variables, we propose a family of tests for the null hypothesis that one random variable stochastically dominates the other at the second order. Test statistics are obtained as functionals of the…

Statistics Theory · Mathematics 2023-10-16 Tommaso Lando , Sirio Legramanti

We investigate asymptotically optimal multiple testing procedures for streams of sequential data in the context of prior information on the number of false null hypotheses ("signals"). We show that the "gap" and "gap-intersection"…

Methodology · Statistics 2020-05-04 Xinrui He , Jay Bartroff

Non-standard interactions of neutrinos arising in many theories beyond the Standard Model can significantly alter matter effects in atmospheric neutrino propagation through the Earth. In this paper, a search for deviations from the…

High Energy Physics - Experiment · Physics 2022-06-03 A. Albert , S. Alves , M. André , M. Anghinolfi , G. Anton , M. Ardid , S. Ardid , J. -J. Aubert , J. Aublin , B. Baret , S. Basa , B. Belhorma , M. Bendahman , F. Benfenati , V. Bertin , S. Biagi , M. Bissinger , J. Boumaaza , M. Bouta , M. C. Bouwhuis , H. Brânzas , R. Bruijn , J. Brunner , J. Busto , B. Caiffi , D. Calvo , A. Capone , L. Caramete , J. Carr , V. Carretero , S. Celli , M. Chabab , T. N. Chau , R. Cherkaoui El Moursli , T. Chiarusi , M. Circella , A. Coleiro , R. Coniglione , P. Coyle , A. Creusot , A. F. Díaz , G. de Wasseige , C. Distefano , I. Di Palma , A. Domi , C. Donzaud , D. Dornic , D. Drouhin , T. Eberl , T. van Eeden , D. van Eijk , N. El Khayati , A. Enzenhöfer , P. Fermani , G. Ferrara , F. Filippini , L. Fusco , Y. Gatelet , P. Gay , H. Glotin , R. Gozzini , R. Gracia Ruiz , K. Graf , C. Guidi , S. Hallmann , H. van Haren , A. J. Heijboer , Y. Hello , J. J. Hernández-Rey , J. Hößl , J. Hofestädt , F. Huang , G. Illuminati , C. W. James , B. Jisse-Jung , M. de Jong , P. de Jong , M. Kadler , O. Kalekin , U. Katz , N. R. Khan-Chowdhury , A. Kouchner , I. Kreykenbohm , V. Kulikovskiy , R. Lahmann , R. Le Breton , S. LeStum , D. Lefèvre , E. Leonora , G. Levi , M. Lincetto , D. Lopez-Coto , S. Loucatos , L. Maderer , J. Manczak , M. Marcelin , A. Margiotta , A. Marinelli , J. A. Martínez-Mora , B. Martino , K. Melis , P. Migliozzi , A. Moussa , R. Muller , L. Nauta , S. Navas , E. Nezri , B. Ó Fearraigh , A. Paun , G. E. Pavalas , C. Pellegrino , M. Perrin-Terrin , V. Pestel , P. Piattelli , C. Pieterse , C. Poirè , V. Popa , T. Pradier , N. Randazzo , D. Real , S. Reck , G. Riccobene , A. Romanov , A. Sánchez-Losa , F. Salesa Greus , D. F. E. Samtleben , M. Sanguineti , P. Sapienza , J. Schnabel , J. Schumann , F. Schüssler , J. Seneca , M. Spurio , Th. Stolarczyk , M. Taiuti , Y. Tayalati , T. Thakore , S. J. Tingay , B. Vallage , V. Van Elewyck , F. Versari , S. Viola , D. Vivolo , J. Wilms , S. Zavatarelli , A. Zegarelli , J. D. Zornoza , J. Zúñiga

This paper proposes parametric and non-parametric hypothesis testing algorithms for detecting anisotropy -- rotational variance of the covariance function in random fields. Both algorithms are based on resampling mechanisms, which enable…

Methodology · Statistics 2021-06-08 Assaf Rabinowicz , Saharon Rosset

The analysis of large experimental datasets frequently reveals significant interactions that are difficult to interpret within the theoretical framework guiding the research. Some of these interactions actually arise from the presence of…

Applications · Statistics 2017-09-19 Hannes Matuschek , Reinhold Kliegl

Pairwise interactions between perturbations to a system can provide evidence for the causal dependencies of the underlying underlying mechanisms of a system. When observations are low dimensional, hand crafted measurements, detecting…

Machine Learning · Computer Science 2024-09-13 Zuheng , Xu , Moksh Jain , Ali Denton , Shawn Whitfield , Aniket Didolkar , Berton Earnshaw , Jason Hartford

Nonparametric covariate adjustment is considered for log-rank type tests of treatment effect with right-censored time-to-event data from clinical trials applying covariate-adaptive randomization. Our proposed covariate-adjusted log-rank…

Methodology · Statistics 2023-01-23 Ting Ye , Jun Shao , Yanyao Yi

Suppose several two-valued input-output systems are designed by setting the levels of several controllable factors. For this situation, Taguchi method has proposed to assign the controllable factors to the orthogonal array and use ANOVA…

Methodology · Statistics 2007-06-21 Satoshi Aoki , Masami Miyakawa

Measures of local and global spatial association are key tools for exploratory spatial data analysis. Many such measures exist including Moran's $I$, Geary's $C$, and the Getis-Ord $G$ and $G^*$ statistics. A parametric approach to testing…

Methodology · Statistics 2022-05-30 Adam B Kashlak , Weicong Yuan

Detecting complex interactions among risk factors in case-control studies is a fundamental task in clinical and population research. However, though hypothesis testing using logistic regression (LR) is a convenient solution, the LR…

Methodology · Statistics 2015-02-11 Guoqiang Yu , David J. Miller , Carl D. Langefeld , David M. Herrington , Yue Wang

Inferring the laws of interaction between particles and agents in complex dynamical systems from observational data is a fundamental challenge in a wide variety of disciplines. We propose a non-parametric statistical learning approach to…

Machine Learning · Computer Science 2022-06-08 Fei Lu , Mauro Maggioni , Sui Tang , Ming Zhong

To date, testing interactions in high dimensions has been a challenging task. Existing methods often have issues with sensitivity to modeling assumptions and heavily asymptotic nominal p-values. To help alleviate these issues, we propose a…

Machine Learning · Statistics 2012-06-29 Noah Simon , Robert Tibshirani

So-called linear rank statistics provide a means for distribution-free (even in finite samples), yet highly flexible, two-sample testing in the setting of univariate random variables. Their flexibility derives from a choice of weights that…

Methodology · Statistics 2023-10-03 Dan D. Erdmann-Pham

For some variants of regression models, including partial, measurement error or error-in-variables, latent effects, semi-parametric and otherwise corrupted linear models, the classical parametric tests generally do not perform well. Various…

Statistics Theory · Mathematics 2015-03-25 Pranab K. Sen , Jana Jureckova , Jan Picek