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Ranking data represent a peculiar form of multivariate ordinal data taking values in the set of permutations. Despite the numerous methodological contributions to increase the flexibility of ranked data modeling, the application of more…

Computation · Statistics 2018-03-13 Cristina Mollica , Luca Tardella

This article describes the R package varrank. It has a flexible implementation of heuristic approaches which perform variable ranking based on mutual information. The package is particularly suitable for exploring multivariate datasets…

Machine Learning · Statistics 2018-04-20 Gilles Kratzer , Reinhard Furrer

The R package robusTest offers corrected versions of several common tests in bivariate statistics. We point out the limitations of these tests in their classical versions, some of which are well known such as robustness or calibration…

This article introduces the R package csranks for estimation and inference involving ranks. First, we review methods for the construction of confidence sets for ranks, namely marginal and simultaneous confidence sets as well as confidence…

Econometrics · Economics 2024-01-30 Denis Chetverikov , Magne Mogstad , Pawel Morgen , Joseph Romano , Azeem Shaikh , Daniel Wilhelm

Sample size calculations can be challenging with skewed continuous outcomes in randomized controlled trials (RCTs). Standard t-test-based calculations may require data transformation, which may be difficult before data collection.…

High-throughput sequencing technology allows us to test the compositional difference of bacteria in different populations. One important feature of human microbiome data is that it often includes a large number of zeros. Such data can be…

Methodology · Statistics 2022-08-23 Wanjie Wang , Eric Z. Chen , Hongzhe Li

An important class of two-sample multivariate homogeneity tests is based on identifying differences between the distributions of interpoint distances. While generating distances from point clouds offers a straightforward and intuitive way…

Methodology · Statistics 2024-08-21 Annika Betken , Aljosa Marjanovic , Katharina Proksch

Academic Clinical Trial Units frequently face fragmented statistical workflows, leading to duplicated effort, limited collaboration, and inconsistent analytical practices. To address these challenges within an oncology Clinical Trial Unit,…

The Wilcoxon Signed Rank test is typically called upon when testing whether a symmetric distribution has a specified centre and the Gaussianity is in question. As with all insurance policies it comes with a cost, even if small, in terms of…

Statistics Theory · Mathematics 2017-08-03 Jonathan Rosenblatt , Yoav Benjamini

A multivariate one-sample location test based on the center-outward ranks and signs is considered, and two different testing procedures are proposed for centrally symmetric distributions. The first test is based on a random division of the…

Statistics Theory · Mathematics 2025-05-22 Daniel Hlubinka , Šárka Hudecová

The Wilcoxon signed-rank test and the Wilcoxon-Mann-Whitney test are commonly employed in one sample and two sample mean tests for one-dimensional hypothesis problems. For high-dimensional mean test problems, we calculate the asymptotic…

Methodology · Statistics 2024-01-02 Yu Zhang , Long Feng

Data-based classification is fundamental to most branches of science. While recent years have brought enormous progress in various areas of statistical computing and clustering, some general challenges in clustering remain: model selection,…

Artificial Intelligence · Computer Science 2007-06-13 Jens Oehlschlägel

Inference in clustering is paramount to uncovering inherent group structure in data. Clustering methods which assess statistical significance have recently drawn attention owing to their importance for the identification of patterns in high…

Methodology · Statistics 2021-06-18 Debora Zava Bello , Marcio Valk , Gabriela Bettella Cybis

Clustering of longitudinal data is used to explore common trends among subjects over time for a numeric measurement of interest. Various R packages have been introduced throughout the years for identifying clusters of longitudinal patterns,…

Machine Learning · Computer Science 2024-02-23 Niek Den Teuling , Steffen Pauws , Edwin van den Heuvel

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

In benchmarking of Information Retrieval systems, the Wilcoxon signed-rank test is often treated as a safer alternative to the t-test. This belief is fueled by textbooks and recommendations that portray Wilcoxon as the proper non-parametric…

Information Retrieval · Computer Science 2026-04-29 Julián Urbano

We propose a multivariate, distribution-free ranking framework for comparing clustered, correlated outcomes across groups, motivated by the evaluation of state-level policy environments using county-level socioeconomic data. Using pooled…

Applications · Statistics 2026-04-02 Dhrubajyoti Ghosh

Detecting and locating changes in highly multivariate data is a major concern in several current statistical applications. In this context, the first contribution of the paper is a novel non-parametric two-sample homogeneity test for…

Statistics Theory · Mathematics 2012-02-13 Alexandre Lung-Yut-Fong , Céline Lévy-Leduc , Olivier Cappé

Hypothesis tests are a crucial statistical tool for data mining and are the workhorse of scientific research in many fields. Here we present a differentially private analogue of the classic Wilcoxon signed-rank hypothesis test, which is…

Cryptography and Security · Computer Science 2018-09-06 Simon Couch , Zeki Kazan , Kaiyan Shi , Andrew Bray , Adam Groce

The rapid development of modern technology facilitates the appearance of numerous unprecedented complex data which do not satisfy the axioms of Euclidean geometry, while most of the statistical hypothesis tests are available in Euclidean or…

Computation · Statistics 2023-10-24 Jin Zhu , Wenliang Pan , Wei Zheng , Xueqin Wang
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