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The question of testing for equality in distribution between two linear models, each consisting of sums of distinct discrete independent random variables with unequal numbers of observations, has emerged from the biological research. In…

统计理论 · 数学 2020-09-01 Giulio Prevedello , Ken R. Duffy

This paper proposes procedures for testing the equality hypothesis and the proportionality hypothesis involving a large number of $q$ covariance matrices of dimension $p\times p$. Under a limiting scheme where $p$, $q$ and the sample sizes…

统计理论 · 数学 2024-09-11 Tianxing Mei , Chen Wang , Jianfeng Yao

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.…

统计方法学 · 统计学 2026-03-10 Beatriz Farah , Olivier Bouaziz , Aurélien Latouche

In this paper, we consider procedures for testing hypotheses on the dimension of the linear span generated by a growing number of $p\times p$ covariance matrices from independent $q$ populations. Under a proper limiting scheme where all the…

统计理论 · 数学 2026-02-16 Tianxing Mei , Chen Wang , Jianfeng Yao

Genetic association analyses often involve data from multiple potentially-heterogeneous subgroups. The expected amount of heterogeneity can vary from modest (e.g., a typical meta-analysis) to large (e.g., a strong gene--environment…

统计方法学 · 统计学 2014-04-15 Xiaoquan Wen , Matthew Stephens

Difference in proportions is frequently used to measure treatment effect for binary outcomes in randomized clinical trials. The estimation of difference in proportions can be assisted by adjusting for prognostic baseline covariates to…

统计方法学 · 统计学 2023-08-31 Jialuo Liu , Dong Xi

Wilk's theorem, which offers universal chi-squared approximations for likelihood ratio tests, is widely used in many scientific hypothesis testing problems. For modern datasets with increasing dimension, researchers have found that the…

统计理论 · 数学 2020-08-14 Yinqiu He , Bo Meng , Zhenghao Zeng , Gongjun Xu

We propose a simple test for moment inequalities that has exact size in normal models with known variance and has uniformly asymptotically exact size more generally. The test compares the quasi-likelihood ratio statistic to a chi-squared…

计量经济学 · 经济学 2020-08-19 Gregory Cox , Xiaoxia Shi

We propose new tests to detect a change in the mean of a time series. Like many existing tests, the new ones are based on the CUSUM process. Existing CUSUM tests require an estimator of a scale parameter to make them asymptotically…

统计理论 · 数学 2008-12-18 Lajos Horváth , Zsuzsanna Horváth , Marie Hušková

Although several nonparametric tests are available for testing population identical distributions or equal means in multiple groups problem, the Van der Waerden test has asymptotically the same efficiency as the classical one-way analysis…

统计方法学 · 统计学 2022-03-07 Elsayed Elamir

We propose a testing procedure based on the Wilcoxon two-sample test statistic in order to test for change-points in the mean of long-range dependent data. We show that the corresponding self-normalized test statistic converges in…

统计理论 · 数学 2014-09-10 Annika Betken

As the meta-analysis of more than one diagnostic tests can impact clinical decision making and patient health, there is an increasing body of research in models and methods for meta-analysis of studies comparing multiple diagnostic tests.…

统计方法学 · 统计学 2021-05-11 Aristidis K. Nikoloulopoulos

We address the asymptotic and approximate distributions of a large class of test statistics with quadratic forms used in association studies. The statistics of interest do not necessarily follow a chi-square distribution and take the…

应用统计 · 统计学 2009-09-24 Liping Tong , Jie Yang , Richard S. Cooper

We present a novel approach to test for heteroscedasticity of a non-stationary time series that is based on Gini's mean difference of logarithmic local sample variances. In order to analyse the large sample behaviour of our test statistic,…

统计理论 · 数学 2021-05-24 Sara Kristin Schmidt , Max Wornowizki , Roland Fried , Herold Dehling

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

Statistical depth, which measures the center-outward rank of a given sample with respect to its underlying distribution, has become a popular and powerful tool in nonparametric inference. In this paper, we investigate the use of statistical…

统计方法学 · 统计学 2025-11-25 Chifeng Shen , Yuejiao Fu , Michael Chen , Xiaoping Shi

In this article, we propose a one-sample test to check whether the support of the unknown distribution generating the data is homologically equivalent to the support of some specified distribution or not OR using the corresponding…

统计方法学 · 统计学 2023-12-01 Satish Kumar , Subhra Sankar Dhar

Given independent samples from P and Q, two-sample permutation tests allow one to construct exact level tests when the null hypothesis is P=Q. On the other hand, when comparing or testing particular parameters $\theta$ of P and Q, such as…

统计理论 · 数学 2013-04-23 EunYi Chung , Joseph P. Romano

Pearson's Chi-square test is a widely used tool for analyzing categorical data, yet its statistical power has remained theoretically underexplored. Due to the difficulties in obtaining its power function in the usual manner, Cochran (1952)…

统计方法学 · 统计学 2024-09-24 Qingyang Zhang

The statistical measure of spatial inhomogeneity for n points placed in chi cells each of size kxk is generalized to incorporate finite size objects like black pixels for binary patterns of size LxL. As a function of length scale k, the…

统计力学 · 物理学 2009-11-11 Ryszard Piasecki