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A new family of nonparametric statistics, the r-statistics, is introduced. It consists of counting the number of records of the cumulative sum of the sample. The single-sample r-statistic is almost as powerful as Student's t-statistic for…

统计方法学 · 统计学 2015-07-14 Damien Challet

The overwhelming majority of empirical research that uses cluster-robust inference assumes that the clustering structure is known, even though there are often several possible ways in which a dataset could be clustered. We propose two tests…

计量经济学 · 经济学 2023-03-14 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

A/B-tests are a cornerstone of experimental design on the web, with wide-ranging applications and use-cases. The statistical $t$-test comparing differences in means is the most commonly used method for assessing treatment effects, often…

统计方法学 · 统计学 2025-02-25 Olivier Jeunen

A novel non-parametric estimator of the correlation between grouped measurements of a quantity is proposed in the presence of noise. This work is primarily motivated by functional brain network construction from fMRI data, where brain…

统计方法学 · 统计学 2023-02-16 Hanâ Lbath , Alexander Petersen , Wendy Meiring , Sophie Achard

In this paper, we introduce a variation of the group testing problem capturing the idea that a positive test requires a combination of multiple ``types'' of item. Specifically, we assume that there are multiple disjoint \emph{semi-defective…

信息论 · 计算机科学 2024-05-10 Thach V. Bui , Jonathan Scarlett

Statistical significance testing is widely accepted as a means to assess how well a difference in effectiveness reflects an actual difference between systems, as opposed to random noise because of the selection of topics. According to…

信息检索 · 计算机科学 2019-06-07 Julián Urbano , Harlley Lima , Alan Hanjalic

State tomography on qubit pairs is routinely carried out by measuring the two qubits separately, while one expects a higher efficiency from tomography with highly symmetric joint measurements of both qubits. Our numerical study of simulated…

量子物理 · 物理学 2015-05-13 Yong Siah Teo , Huangjun Zhu , Berthold-Georg Englert

In many causal inference applications, only one or a few units (or clusters of units) are treated. An important challenge in such settings is that standard inference methods relying on asymptotic theory may be unreliable, even with large…

计量经济学 · 经济学 2026-05-22 Luis Alvarez , Bruno Ferman , Kaspar Wüthrich

Cluster analysis methods are used to identify homogeneous subgroups in a data set. In biomedical applications, one frequently applies cluster analysis in order to identify biologically interesting subgroups. In particular, one may wish to…

统计方法学 · 统计学 2016-09-23 Sheila Gaynor , Eric Bair

Classical tests for a difference in means control the type I error rate when the groups are defined a priori. However, when the groups are instead defined via clustering, then applying a classical test yields an extremely inflated type I…

统计方法学 · 统计学 2022-11-01 Lucy L. Gao , Jacob Bien , Daniela Witten

In recent years, it has become common practice in neuroscience to use networks to summarize relational information in a set of measurements, typically assumed to be reflective of either functional or structural relationships between regions…

应用统计 · 统计学 2017-03-20 Cedric E. Ginestet , Jun Li , Prakash Balachandran , Steven Rosenberg , Eric D. Kolaczyk

We analyze different types of simulations that applied researchers can use to assess whether their inference methods reliably control false-positive rates. We show that different assessments involve trade-offs, varying in the types of…

计量经济学 · 经济学 2025-10-03 Bruno Ferman

Many similarity-based clustering methods work in two separate steps including similarity matrix computation and subsequent spectral clustering. However, similarity measurement is challenging because it is usually impacted by many factors,…

机器学习 · 计算机科学 2017-05-04 Zhao Kang , Chong Peng , Qiang Cheng

Statistically equivalent blocks are not frequently considered in the context of nonparametric two-sample hypothesis testing. Despite the limited exposure, this paper shows that a number of classical nonparametric hypothesis tests can be…

统计方法学 · 统计学 2025-06-11 Chase Holcombe

The t-statistic is a widely-used scale-invariant statistic for testing the null hypothesis that the mean is zero. Martingale methods enable sequential testing with the t-statistic at every sample size, while controlling the probability of…

统计理论 · 数学 2025-02-10 Peter D. Grünwald , Wouter M. Koolen

This note addresses a key limitation of the Folding Test of Unimodality (FTU). In specific univariate mixture settings, the folding-based criterion can systematically fail, misclassifying clearly multimodal distributions as unimodal. We…

统计方法学 · 统计学 2026-05-14 Colombe Becquart , Aurore Archimbaud , Anne M. Ruiz , Zaineb Smida

Is it possible for a large sequence of measurements or observations, which support a hypothesis, to counterintuitively decrease our confidence? Can unanimous support be too good to be true? The assumption of independence is often made in…

Neuroimaging research has predominantly drawn conclusions based on classical statistics, including null-hypothesis testing, t-tests, and ANOVA. Throughout recent years, statistical learning methods enjoy increasing popularity, including…

机器学习 · 统计学 2016-05-05 Danilo Bzdok

Face clustering can provide pseudo-labels to the massive unlabeled face data and improve the performance of different face recognition models. The existing clustering methods generally aggregate the features within subgraphs that are often…

计算机视觉与模式识别 · 计算机科学 2023-04-24 Yuan Cao , Di Jiang , Guanqun Hou , Fan Deng , Xinjia Chen , Qiang Yang

Matched case-control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of…

统计方法学 · 统计学 2026-02-24 Shanshan Liu , Guoqing Diao