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In this paper, we investigate hypothesis testing for the linear combination of mean vectors across multiple populations through the method of random integration. We have established the asymptotic distributions of the test statistics under…

应用统计 · 统计学 2024-03-13 Jianghao Li , Shizhe Hong , Zhenzhen Niu , Zhidong Bai

We introduce a unified approach to testing a variety of rather general null hypotheses that can be formulated in terms of covariances matrices. These include as special cases, for example, testing for equal variances, equal traces, or for…

统计理论 · 数学 2020-12-23 Paavo Sattler , Arne C. Bathke , Markus Pauly

The test statistics of two powerful tests for normality \citep{lm1,mud2} are estimators of the correlation coefficient between certain sample moments. We derive new versions of the test statistics that are functions of the sample skewness…

统计理论 · 数学 2011-08-03 Måns Thulin

Various statistical tests have been developed for testing the equality of means in matched pairs with missing values. However, most existing methods are commonly based on certain distributional assumptions such as normality, 0-symmetry or…

统计理论 · 数学 2016-03-02 Lubna Amro , Markus Pauly

Two modifications of the chi square test for comparing usual(unweighted) and weighted histograms and two weighted histograms are proposed. Numerical examples illustrate an application of the tests for the histograms with different…

数据分析、统计与概率 · 物理学 2011-11-09 N. D. Gagunashvili

A new thresholding method, based on L-statistics and called order thresholding, is proposed as a technique for improving the power when testing against high-dimensional alternatives. The new method allows great flexibility in the choice of…

统计理论 · 数学 2010-10-21 Min Hee Kim , Michael G. Akritas

While running any experiment, we often have to consider the statistical power to ensure an effective study. Statistical power or power ensures that we can observe an effect with high probability if such a true effect exists. However,…

统计方法学 · 统计学 2023-06-21 Ajinkya K Mulay , Sean Lane , Erin Hennes

Testing for normality is a widely used procedure in statistics and data analysis, often applied prior to employing methods that rely on the assumption of normally distributed data. While several existing tests target distributional…

统计方法学 · 统计学 2026-04-07 Akin Anarat , Holger Schwender

We address the problem of A/B testing, a widely used protocol for evaluating the potential improvement achieved by a new decision system compared to a baseline. This protocol segments the population into two subgroups, each exposed to a…

机器学习 · 统计学 2025-06-16 Otmane Sakhi , Alexandre Gilotte , David Rohde

In this paper, we propose a new spectral-based approach to hypothesis testing for populations of networks. The primary goal is to develop a test to determine whether two given samples of networks come from the same random model or…

统计方法学 · 统计学 2020-11-26 Li Chen , Nathaniel Josephs , Lizhen Lin , Jie Zhou , Eric D. Kolaczyk

I present a critique of the methods used in a typical paper. This leads to three broad conclusions about the conventional use of statistical methods. First, results are often reported in an unnecessarily obscure manner. Second, the null…

应用统计 · 统计学 2013-03-05 Michael Wood

Statistical significance tests can provide evidence that the observed difference in performance between two methods is not due to chance. In Information Retrieval, some studies have examined the validity and suitability of such tests for…

信息检索 · 计算机科学 2019-04-09 Javier Parapar , David E. Losada , Manuel A. Presedo-Quindimil , Alvaro Barreiro

We discuss the role that the null hypothesis should play in the construction of a test statistic used to make a decision about that hypothesis. To construct the test statistic for a point null hypothesis about a binomial proportion, a…

其他统计学 · 统计学 2022-07-14 Jennifer A. Sinnott , Steven N. MacEachern , Mario Peruggia

In this paper, a new goodness-of-fit test for a location-scale family based on progressively Type-II censored order statistics is proposed. Using Monte Carlo simulation studies, the present researchers have observed that the proposed test…

统计理论 · 数学 2017-04-25 Hamzeh Torabi , Sayyed Mahmoud Mirjalili , Hossein Nadeb

Researchers theorize that many real-world networks exhibit community structure where within-community edges are more likely than between-community edges. While numerous methods exist to cluster nodes into different communities, less work…

社会与信息网络 · 计算机科学 2024-05-15 Eric Yanchenko , Srijan Sengupta

In this paper we investigate the asymptotic distribution of likelihood ratio tests in models with several groups, when the number of groups converges with the dimension and sample size to infinity. We derive central limit theorems for the…

统计理论 · 数学 2019-07-17 Holger Dette , Nina Dörnemann

Combining several independent measurements of the same physical quantity is one of the most important tasks in metrology. Small samples, biased input estimates, not always adequate reported uncertainties, and unknown error distribution make…

数据分析、统计与概率 · 物理学 2026-04-22 Zinovy Malkin

There is a growing trend among statistical agencies to explore non-probability data sources for producing more timely and detailed statistics, while reducing costs and respondent burden. Coverage and measurement error are two issues that…

统计方法学 · 统计学 2024-09-19 Lyndon Ang , Robert Clark , Bronwyn Loong , Anders Holmberg

This paper proposes novel tests for the absence of jumps in a univariate semimartingale and for the absence of common jumps in a bivariate semimartingale. Our methods rely on ratio statistics of power variations based on irregular…

统计理论 · 数学 2017-12-21 Ole Martin , Mathias Vetter

Hypothesis testing results often rely on simple, yet important assumptions about the behaviour of the distribution of p-values under the null and the alternative. We examine tests for one dimensional parameters of interest that converge to…

统计理论 · 数学 2021-08-06 Yanbo Tang , Radu Craiu , Lei Sun