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Statistical hypothesis testing and effect size measurement are routine parts of quantitative research. Advancements in computer processing power have greatly improved the capability of statistical inference through the availability of…

统计方法学 · 统计学 2024-01-18 Michael J. Crosse , John J. Foxe , Sophie Molholm

Permutation resemblance measures the distance of a function from being a permutation. Here we show how to determine the permutation resemblance through linear integer programming techniques. We also present an algorithm for constructing…

组合数学 · 数学 2023-02-10 Li-An Chen , Robert S. Coulter

We present a novel family of nonparametric omnibus tests of the hypothesis that two unknown but estimable functions are equal in distribution when applied to the observed data structure. We developed these tests, which represent a…

统计理论 · 数学 2017-06-15 Alexander R. Luedtke , Marco Carone , Mark J. van der Laan

Several hypothesis testing methods have been proposed to validate the assumption of isotropy in spatial point patterns. A majority of these methods are characterised by an unknown distribution of the test statistic under the null hypothesis…

统计方法学 · 统计学 2025-04-09 Jakub J. Pypkowski , Adam M. Sykulski , James S. Martin

The statistical literature is known to be inconsistent in the use of the terms "permutation test" and "randomization test". Several authors succesfully argue that these terms should be used to refer to two distinct classes of tests and that…

统计方法学 · 统计学 2020-12-23 Jesse Hemerik , Jelle J. Goeman

New nonparametric tests of copula exchangeability and radial symmetry are proposed. The novel aspect of the tests is a resampling procedure that exploits group invariance conditions associated with the relevant symmetry hypothesis. They may…

计量经济学 · 经济学 2020-12-16 Brendan K. Beare , Juwon Seo

We consider tests of hypotheses when the parameters are not identifiable under the null in semiparametric models, where regularity conditions for profile likelihood theory fail. Exponential average tests based on integrated profile…

统计理论 · 数学 2009-08-25 Rui Song , Michael R. Kosorok , Jason P. Fine

In qualitative statistics, permutation tests are very popular, mainly because of their finite-sample exactness under exchangeability. However, in non-exchangeable settings, the covariance structure of permuted statistics typically differs…

统计方法学 · 统计学 2026-04-09 Merle Munko , Paavo Sattler

Matching is an appealing way to design observational studies because it mimics the data structure produced by stratified randomized trials, pairing treated individuals with similar controls. After matching, inference is often conducted…

统计方法学 · 统计学 2024-03-05 Samuel D. Pimentel , Ruoqi Yu

Suppose that a sequence of data points follows a distribution of a certain parametric form, but that one or more of the underlying parameters may change over time. This paper addresses various natural questions in such a framework. We…

统计方法学 · 统计学 2026-05-19 Nils Lid Hjort , Alex J. Koning

In this article, we consider the problem of simultaneous testing of hypotheses when the individual test statistics are not necessarily independent. Specifically, we consider the problem of simultaneous testing of point null hypotheses…

统计理论 · 数学 2018-07-17 Prasenjit Ghosh , Arijit Chakrabarti

Conditional independence testing is a fundamental problem underlying causal discovery and a particularly challenging task in the presence of nonlinear and high-dimensional dependencies. Here a fully non-parametric test for continuous data…

机器学习 · 统计学 2017-09-06 Jakob Runge

We present the asymptotic distribution for two-sided tests based on the profile likelihood ratio with lower and upper boundaries on the parameter of interest. This situation is relevant for branching ratios and the elements of unitary…

数据分析、统计与概率 · 物理学 2012-10-26 Glen Cowan , Kyle Cranmer , Eilam Gross , Ofer Vitells

Permutation tests are amongst the most commonly used statistical tools in modern genomic research, a process by which p-values are attached to a test statistic by randomly permuting the sample or gene labels. Yet permutation p-values…

应用统计 · 统计学 2016-03-21 Belinda Phipson , Gordon K. Smyth

The asymptotic solution to the problem of comparing the means of two heteroscedastic populations, based on two random samples from the populations, hinges on the pivot underpinning the construction of the confidence interval and the test…

统计理论 · 数学 2017-10-30 Rajeshwari Majumdar , Suman Majumdar

Permutation tests are a popular choice for distinguishing distributions and testing independence, due to their exact, finite-sample control of false positives and their minimax optimality when paired with U-statistics. However, standard…

统计理论 · 数学 2025-03-26 Carles Domingo-Enrich , Raaz Dwivedi , Lester Mackey

We study the number of occurrences of any fixed vincular permutation pattern. We show that this statistics on uniform random permutations is asymptotically normal and describe the speed of convergence. To prove this central limit theorem,…

组合数学 · 数学 2023-06-22 Lisa Hofer

Propensity score matching is commonly used to draw causal inference from observational survival data. However, its asymptotic properties have yet to be established, and variance estimation is still open to debate. We derive the statistical…

统计方法学 · 统计学 2024-12-24 Tongrong Wang , Honghe Zhao , Shu Yang , Shuhan Tang , Zhanglin Cui , Li Li , Douglas E. Faries

We propose new tests for assessing whether covariates in a treatment group and matched control group are balanced in observational studies. The tests exhibit high power under a wide range of multivariate alternatives, some of which existing…

统计方法学 · 统计学 2019-02-28 Hao Chen , Dylan S. Small

Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

统计方法学 · 统计学 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song