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In this paper, we consider testing the homogeneity of risk differences in independent binomial distributions especially when data are sparse. We point out some drawback of existing tests in either controlling a nominal size or obtaining…

统计方法学 · 统计学 2018-05-31 Junyong Park , Iris Ivy Gauran

Suppose that we are interested in the comparison of two independent categorical variables. Suppose also that the population is divided into subpopulations or groups. Notice that the distribution of the target variable may vary across…

统计方法学 · 统计学 2024-05-08 M. V. Alba-Fernández , M. D. Jiménez--Gamero , F. J. Ariza-López

Subjects in clinical studies that investigate paired body parts can carry a disease on either both sides (bilateral) or a single side (unilateral) of the organs. Data in such studies may consist of both bilateral and unilateral records.…

应用统计 · 统计学 2025-11-06 Shuyi Liang , Chang-Xing Ma

Data depth has been applied as a nonparametric measurement for ranking multivariate samples. In this paper, we focus on homogeneity tests to assess whether two multivariate samples are from the same distribution. There are many data…

统计理论 · 数学 2023-06-09 Yiting Chen , Wei Lin , Xiaoping Shi

Many important problems in psychology and biomedical studies require testing for overdispersion, correlation and heterogeneity in mixed effects and latent variable models, and score tests are particularly useful for this purpose. But the…

统计理论 · 数学 2007-06-13 Hongtu Zhu , Heping Zhang

Testing the homogeneity between two samples of functional data is an important task. While this is feasible for intensely measured functional data, we explain why it is challenging for sparsely measured functional data and show what can be…

统计方法学 · 统计学 2022-07-05 Changbo Zhu , Jane-Ling Wang

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

统计理论 · 数学 2019-12-24 Natsuki Kariya , Sumio Watanabe

This article presents a homogeneity test for testing the equality of several high-dimensional covariance matrices for stationary processes with ignoring the assumption of normality. We give the asymptotic distribution of the proposed test.…

统计理论 · 数学 2020-08-24 Abdullah Qayed , Dong Han

A massive dataset often consists of a growing number of (potentially) heterogeneous sub-populations. This paper is concerned about testing various forms of heterogeneity arising from massive data. In a general nonparametric framework, a set…

统计理论 · 数学 2016-01-26 Junwei Lu , Guang Cheng , Han Liu

A panel dataset satisfies marginal homogeneity if the time-specific marginal distributions are homogeneous or time-invariant. Marginal homogeneity is relevant in many economic settings, including dynamic discrete games,…

计量经济学 · 经济学 2025-12-08 Federico Bugni , Jackson Bunting , Muyang Ren

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

Testing hypotheses of goodness-of-fit about mixture distributions on the basis of independent but not necessarily identically distributed random vectors is considered. The hypotheses are given by a specific distribution or by a family of…

统计理论 · 数学 2016-04-21 Daniel Gaigall

In this paper we consider testing the equality of probability vectors of two independent multinomial distributions in high dimension. The classical chi-square test may have some drawbacks in this case since many of cell counts may be zero…

统计理论 · 数学 2017-11-16 Amanda Plunkett , Junyong Park

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…

Experiments often yield non-identically distributed data for statistical analysis. Tests of hypothesis under such set-ups are generally performed using the likelihood ratio test, which is non-robust with respect to outliers and model…

统计理论 · 数学 2017-07-25 Abhik Ghosh , Ayanendranath Basu

Intraclass correlation in bilateral data has been investigated in recent decades with various statistical methods. In practice, stratifying bilateral data by some control variables will provide more sophisticated statistical results to…

统计方法学 · 统计学 2023-03-24 Wanqing Tian , Chang-Xing Ma

Statistical inference for large data panels is omnipresent in modern economic applications. An important benefit of panel analysis is the possibility to reduce noise and thus to guarantee stable inference by intersectional pooling. However,…

统计方法学 · 统计学 2022-12-15 Tim Kutta , Holger Dette

The test of homogeneity for normal mixtures has been conducted in diverse research areas, but constructing a theory of the test of homogeneity is challenging because the parameter set for the null hypothesis corresponds to singular points…

统计理论 · 数学 2020-12-02 Natsuki Kariya , Sumio Watanabe

Nonparametric rank tests for homogeneity and component independence are proposed, which are based on data compressors. For homogeneity testing the idea is to compress the binary string obtained by ordering the two joint samples and writing…

数据结构与算法 · 计算机科学 2012-02-28 Daniil Ryabko , Juergen Schmidhuber

One of the fundamental task in graph data mining is to find a planted community(dense subgraph), which has wide application in biology, finance, spam detection and so on. For a real network data, the existence of a dense subgraph is…

统计方法学 · 统计学 2021-01-18 Mingao Yuan , Qian Wen
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