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How should researchers analyze randomized experiments in which the main outcome is latent and measured in multiple ways but each measure contains some degree of error? We first identify a critical study-specific noncomparability problem in…

Econometrics · Economics 2026-01-13 Jiawei Fu , Donald P. Green

In the stable marriage problem N men and N women have to be matched by pairs under the constraint that the resulting matching is stable. We study the statistical properties of stable matchings in the large N limit using both numerical and…

Statistical Mechanics · Physics 2009-10-31 Michael Dzierzawa , Marie-Jose Omero

In general, randomness tests included in a test suite are not independent of each other. This renders it difficult to fix a rational criterion through the whole test suite with an explicit significance level. In this paper, we focus on the…

Statistics Theory · Mathematics 2019-08-21 Atsushi Iwasaki

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

Determining whether an algorithmic decision-making system discriminates against a specific demographic typically involves comparing a single point estimate of a fairness metric against a predefined threshold. This practice is statistically…

Machine Learning · Computer Science 2026-03-20 Antonio Ferrara , Francesco Cozzi , Alan Perotti , André Panisson , Francesco Bonchi

We consider testing equivalence to Hardy-Weinberg Equilibrium in case of multiple alleles. Two different test statistics are proposed for this test problem. The asymptotic distribution of the test statistics is derived. The corresponding…

Methodology · Statistics 2025-07-15 Vladimir Ostrovski

Based on the test for equality of quantiles originally introduced by Kosorok (1999), we propose new power formulas for the comparison of one quantile between two treatment groups, as well as for the comparison of a collection of quantiles.…

Methodology · Statistics 2026-03-10 Beatriz Farah , Olivier Bouaziz , Aurélien Latouche

We derive a new class of statistical tests for generalized linear models based on thresholding point estimators. These tests can be employed whether the model includes more parameters than observations or not. For linear models, our tests…

Methodology · Statistics 2018-03-14 Sylvain Sardy , Caroline Giacobino , Jairo Diaz-Rodriguez

A popular approach for testing if two univariate random variables are statistically independent consists of partitioning the sample space into bins, and evaluating a test statistic on the binned data. The partition size matters, and the…

Methodology · Statistics 2016-04-28 Ruth Heller , Yair Heller , Shachar Kaufman , Barak Brill , Malka Gorfine

This version is ***superseded*** by a full version that can be found at http://www.itu.dk/people/pagh/papers/mining-jour.pdf, which contains stronger theoretical results and fixes a mistake in the reporting of experiments. Abstract:…

Data Structures and Algorithms · Computer Science 2010-02-17 Andrea Campagna , Rasmus Pagh

This paper considers the inference of trends in multiple, nonstationary time series. To test whether trends are parallel to each other, we use a parallelism index based on the L2-distances between nonparametric trend estimators and their…

Methodology · Statistics 2015-03-17 David Degras , Zhiwei Xu , Ting Zhang , Wei Biao Wu

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Quantitative Methods · Quantitative Biology 2014-05-16 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

Several procedures have been recently proposed to test the simplifying assumption for conditional copulas. Instead of considering pointwise conditioning events, we study the constancy of the conditional dependence structure when some…

Methodology · Statistics 2020-08-24 Alexis Derumigny , Jean-David Fermanian , Aleksey Min

The comparison of a parameter in $k$ populations is a classical problem in statistics. Testing for the equality of means or variances are typical examples. Most procedures designed to deal with this problem assume that $k$ is fixed and that…

In this paper, we develop a simple non-parametric test for testing normal distribution based on the distance between empirical zero-bias transformation and empirical distribution. The asymptotic properties of the test statistic are studied.…

Statistics Theory · Mathematics 2023-11-14 Sudheesh Kattumannil

One central goal of design of observational studies is to embed non-experimental data into an approximate randomized controlled trial using statistical matching. Despite empirical researchers' best intention and effort to create…

Methodology · Statistics 2022-06-22 Kan Chen , Siyu Heng , Qi Long , Bo Zhang

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

In this paper, our interest is in the problem of simultaneous hypothesis testing when the test statistics corresponding to the individual hypotheses are possibly correlated. Specifically, we consider the case when the test statistics…

Statistics Theory · Mathematics 2019-01-14 Anupam Kundu , Subir Kumar Bhandari

We introduce a new statistical test based on the observed spacings of ordered data. The statistic is sensitive to detect non-uniformity in random samples, or short-lived features in event time series. Under some conditions, this new test…

Methodology · Statistics 2022-10-27 Philipp Eller , Lolian Shtembari

Concerns have been expressed over the validity of statistical inference under covariate-adaptive randomization despite the extensive use in clinical trials. In the literature, the inferential properties under covariate-adaptive…

Methodology · Statistics 2022-07-05 Li Yang , Wei Ma , Yichen Qin , Feifang Hu
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