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The most widely used task fMRI analyses use parametric methods that depend on a variety of assumptions. While individual aspects of these fMRI models have been evaluated, they have not been evaluated in a comprehensive manner with empirical…

Applications · Statistics 2016-07-14 Anders Eklund , Thomas Nichols , Hans Knutsson

This paper studies analytic inference along two dimensions of clustering. In such setups, the commonly used approach has two drawbacks. First, the corresponding variance estimator is not necessarily positive. Second, inference is invalid in…

Econometrics · Economics 2026-02-20 Laurent Davezies , Xavier D'Haultfœuille , Yannick Guyonvarch

Cognitive diagnosis models have been popularly used in fields such as education, psychology, and social sciences. While parametric likelihood estimation is a prevailing method for fitting cognitive diagnosis models, nonparametric…

Statistics Theory · Mathematics 2025-10-01 Chengyu Cui , Yanlong Liu , Gongjun Xu

Cluster analysis is a fundamental research issue in statistics and machine learning. In many modern clustering methods, we need to determine whether two subsets of samples come from the same cluster. Since these subsets are usually…

Machine Learning · Computer Science 2025-07-15 Xinying Liu , Lianyu Hu , Mudi Jiang , Simeng Zhang , Jun Lou , Zengyou He

The parametric Welch $t$-test and the non-parametric Wilcoxon-Mann-Whitney test are the most commonly used two independent sample means tests. More recent testing approaches include the non-parametric, empirical likelihood and exponential…

Methodology · Statistics 2019-10-08 Michail Tsagris , Abdulaziz Alenazi , Kleio-Maria Verrou , Nikolaos Pandis

For testing the statistical significance of a treatment effect, we usually compare between two parts of a population, one is exposed to the treatment, and the other is not exposed to it. Standard parametric and nonparametric two-sample…

Computation · Statistics 2012-11-02 Bikram Karmakar , Kumaresh Dhara , Kushal Kumar Dey , Analabha Basu , Anil Ghosh

Methodological research rarely generates a broad interest, yet our work on the validity of cluster inference methods for functional magnetic resonance imaging (fMRI) created intense discussion on both the minutia of our approach and its…

Applications · Statistics 2019-01-03 Anders Eklund , Hans Knutsson , Thomas E Nichols

Standard inference about a scalar parameter estimated via GMM amounts to applying a t-test to a particular set of observations. If the number of observations is not very large, then moderately heavy tails can lead to poor behavior of the…

Econometrics · Economics 2020-07-15 Ulrich K. Mueller

This paper addresses the multiple two-sample test problem in a graph-structured setting, which is a common scenario in fields such as Spatial Statistics and Neuroscience. Each node $v$ in fixed graph deals with a two-sample testing problem…

Machine Learning · Statistics 2024-02-09 Alejandro de la Concha , Nicolas Vayatis , Argyris Kalogeratos

In matched-pairs experiments in which one cluster per pair of clusters is assigned to treatment, to estimate treatment effects, researchers often regress their outcome on a treatment indicator and pair fixed effects, clustering standard…

Econometrics · Economics 2023-06-29 Clément de Chaisemartin , Jaime Ramirez-Cuellar

An important issue in clustering concerns the avoidance of false positives while searching for clusters. This work addressed this problem considering agglomerative methods, namely single, average, median, complete, centroid and Ward's…

Machine Learning · Computer Science 2020-06-30 Eric K. Tokuda , Cesar H. Comin , Luciano da F. Costa

Positive predictive value and negative predictive value are two widely used parameters to assess the clinical usefulness of a medical diagnostic test. When there are two diagnostic tests, it is recommendable to make a comparative assessment…

Methodology · Statistics 2024-05-29 Antonio Martín Andrés , Pedro Femia Marzo

In their recent "Cluster Failure" paper, Eklund and colleagues cast doubt on the accuracy of a widely used statistical test in functional neuroimaging. Here, we leverage nonparametric methods that control the false discovery rate to offer…

Applications · Statistics 2016-08-04 Daniel Kessler , Michael Angstadt , Chandra Sripada

There is no, nor will there ever be, single best clustering algorithm. Nevertheless, we would still like to be able to distinguish between methods that work well on certain task types and those that systematically underperform. Clustering…

Machine Learning · Computer Science 2025-10-16 Marek Gagolewski

The $T$-test is probably the most popular statistical test; it is routinely recommended by the textbooks. The applicability of the test relies upon the validity of normal or Student's approximation to the distribution of Student's statistic…

Statistics Theory · Mathematics 2021-01-01 S. Y. Novak

Parametric and semiparametric tests of circular reflective symmetry about an unknown central direction are developed that are locally and asymptotically optimal in the Le Cam sense against asymmetric $k$-sine-skewed alternatives. The…

Methodology · Statistics 2020-09-01 Jose Ameijeiras-Alonso , Christophe Ley , Arthur Pewsey , Thomas Verdebout

Randomized experiments are increasingly employed in two-sided markets, such as buyer--seller platforms, to evaluate the effects of marketplace interventions. These experiments must reflect the underlying two-sided market structure in their…

Methodology · Statistics 2026-03-30 Jizhou Liu , Azeem M. Shaikh , Panos Toulis

We consider the class of all multiple testing methods controlling tail probabilities of the false discovery proportion, either for one random set or simultaneously for many such sets. This class encompasses methods controlling familywise…

Statistics Theory · Mathematics 2022-05-02 Jelle Goeman , Jesse Hemerik , Aldo Solari

When testing for infections, the standard method is to test each subject individually. If testing methodology is such that samples from multiple subjects can be efficiently combined and tested at once, yielding a positive results if any one…

Methodology · Statistics 2020-04-01 Anže Slosar

The conclusions of randomized controlled trials may be biased when the outcome of one unit depends on the treatment status of other units, a problem known as interference. In this work, we study interference in the setting of one-sided…

Methodology · Statistics 2022-11-01 Jennifer Brennan , Vahab Mirrokni , Jean Pouget-Abadie
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