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Power and sample size calculations for Wald tests in generalized linear models (GLMs) are often limited to specific cases like logistic regression. More general methods typically require detailed study parameters that are difficult to…

统计方法学 · 统计学 2026-01-21 Amy L Cochran , Shijie Yuan , Paul J Rathouz

We consider the problem of meta-analyzing two-group studies that report the median of the outcome. Often, these studies are excluded from meta-analysis because there are no well-established statistical methods to pool the difference of…

统计方法学 · 统计学 2022-06-22 Sean McGrath , Hojoon Sohn , Russell Steele , Andrea Benedetti

This paper investigates a statistical procedure for testing the equality of two independent estimated covariance matrices when the number of potentially dependent data vectors is large and proportional to the size of the vectors, that is,…

统计理论 · 数学 2020-06-01 Rémy Mariétan , Stephan Morgenthaler

In this paper, we construct a consistent non-parametric test for testing the equality of population medians for different samples when the observations in each sample are independent and identically distributed. This test can be further…

统计方法学 · 统计学 2025-01-10 Swapnaneel Bhattacharyya

This paper presents a hypothesis testing method given independent samples from a number of connected populations. The method is motivated by a forestry project for monitoring change in the strength of lumber. Traditional practice has been…

统计理论 · 数学 2015-05-15 Song Cai , Jiahua Chen , James V. Zidek

I propose two U-statistics to test coefficients in generalized linear models. One of them is used to deal with global hypothesis and the other one to test with the nuisance parameter. Both the statistics proposed are within high-dimensional…

应用统计 · 统计学 2013-12-03 Gong Zi Jiang Nan

Consider two random variables contaminated by two unknown transformations. The aim of this paper is to test the equality of those transformations. Two cases are distinguished: first, the two random variables have known distributions.…

统计方法学 · 统计学 2011-11-01 Mohamed Boutahar , Denys Pommeret

There are various approaches to the problem of how one is supposed to conduct a statistical analysis. Different analyses can lead to contradictory conclusions in some problems so this is not a satisfactory state of affairs. It seems that…

统计理论 · 数学 2019-06-25 Michael Evans

With limited resources, scientific inquiries must be prioritized for further study, funding, and translation based on their practical significance: whether the effect size is large enough to be meaningful in the real world. Doing so must…

统计方法学 · 统计学 2022-05-27 Bruce A. Corliss , Yaotian Wang , Heman Shakeri , Philip E. Bourne

In this article, we present a nonparametric method for the general two-sample problem involving functional random variables modelled as elements of a separable Hilbert space ${\cal H}$. First, we present a general recipe based on linear…

统计方法学 · 统计学 2024-10-08 Bilol Banerjee

The paper discusses a statistical problem related to testing for differences between two sparse networks with community structures. The community-wise edge probability matrices have entries of order $O(n^{-1}/\log n)$, where $n$ represents…

应用统计 · 统计学 2023-04-04 Qianyong Wu , Jiang Hu

We provide a fully statistical analysis of the results of a Bell test beyond mean values. This is possible in a practical scheme where all the observables involved in the test are simultaneously measured at the expense of unavoidably…

量子物理 · 物理学 2025-05-13 Alfredo Luis

Comparing two population means of network data is of paramount importance in a wide range of scientific applications. Many existing network inference solutions focus on global testing of entire networks, without comparing individual network…

统计方法学 · 统计学 2019-10-10 Yin Xia , Lexin Li

Shape constraints yield flexible middle grounds between fully nonparametric and fully parametric approaches to modeling distributions of data. The specific assumption of log-concavity is motivated by applications across economics, survival…

统计方法学 · 统计学 2024-04-16 Robin Dunn , Aditya Gangrade , Larry Wasserman , Aaditya Ramdas

Imagine that you could calculate of posttest probabilities, i.e. Bayes theorem with simple addition. This is possible if we stop thinking of probabilities as ranging from 0 to 1.0. There is a naturally occurring linear probability space…

其他统计学 · 统计学 2019-04-03 Christopher M Rembold

Network (graph) data analysis is a popular research topic in statistics and machine learning. In application, one is frequently confronted with graph two-sample hypothesis testing where the goal is to test the difference between two graph…

统计方法学 · 统计学 2021-02-01 Mingao Yuan , Qian Wen

This paper deals with a new Bayesian approach to the standard one-sample $z$- and $t$- tests. More specifically, let $x_1,\ldots,x_n$ be an independent random sample from a normal distribution with mean $\mu$ and variance $\sigma^2$. The…

统计理论 · 数学 2020-04-01 Ibrahim Abdelrazeq , Luai Al-Labadi

The stochastic block model is a popular tool for detecting community structures in network data. Detecting the difference between two community structures is an important issue for stochastic block models. However, the two-sample test has…

统计方法学 · 统计学 2022-12-21 Kang Fu , Jianwei Hu , Seydou Keita , Hao Liu

Given samples from two non-negative random variables, we propose a family of tests for the null hypothesis that one random variable stochastically dominates the other at the second order. Test statistics are obtained as functionals of the…

统计理论 · 数学 2023-10-16 Tommaso Lando , Sirio Legramanti

We introduce a new statistical quantity the energy to test whether two samples originate from the same distributions. The energy is a simple logarithmic function of the distances of the observations in the variate space. The distribution of…

概率论 · 数学 2007-05-23 Guenter Zech , Berkan Aslan