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When the row and column variables consist of the same category in a two-way contingency table, it is specifically called a square contingency table. Since it is clear that the square contingency tables have an association structure, a…

统计方法学 · 统计学 2024-10-02 Wataru Urasaki , Tomoyuki Nakagawa , Jun Tsuchida , Kouji Tahata

Testing for association or dependence between pairs of random variables is a fundamental problem in statistics. In some applications, data are subject to selection bias that causes dependence between observations even when it is absent from…

统计方法学 · 统计学 2020-10-13 Yaniv Tenzer , Micha Mandel , Or Zuk

We study the problem of designing consistent sequential two-sample tests in a nonparametric setting. Guided by the principle of testing by betting, we reframe this task into that of selecting a sequence of payoff functions that maximize the…

统计理论 · 数学 2025-08-26 Shubhanshu Shekhar , Aaditya Ramdas

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

In this paper, a robust non-parametric measure of statistical dependence, or correlation, between two random variables is presented. The proposed coefficient is a permutation-like statistic that quantifies how much the observed sample S_n :…

统计方法学 · 统计学 2020-07-27 Rami Mahdi

In this paper, two tests, based on CUSUM of the residuals and least squares estimation, are studied to detect in real time a change-point in a nonlinear model. A first test statistic is proposed by extension of a method already used in the…

统计理论 · 数学 2013-02-28 Gabriela Ciuperca

Several interesting models for contingency tables are defined by a system of equality and inequality constraints on a suitable set of marginal log-linear parameters. After reviewing the most common difficulties which are intrinsic to order…

统计理论 · 数学 2014-01-09 Roberto Colombi , Antonio Forcina

In this paper we consider a Bayesian analysis of contingency tables allowing for the possibility that cells may have probability zero. In this sense we depart from standard log-linear modeling that implicitly assumes a positivity…

统计理论 · 数学 2007-06-13 Guido Consonni , Giovanni Pistone

Testing for independence between graphs is a problem that arises naturally in social network analysis and neuroscience. In this paper, we address independence testing for inhomogeneous Erd\H{o}s-R\'{e}nyi random graphs on the same vertex…

统计方法学 · 统计学 2023-04-19 Yukun Song , Carey E. Priebe , Minh Tang

We introduce two novel non-parametric statistical hypothesis tests. The first test, called the relative test of dependency, enables us to determine whether one source variable is significantly more dependent on a first target variable or a…

In observational studies, contingency tables provide a simple and intuitive approach to study associations between categorical variables. However, any test of association in contingency tables may be biased due to unmeasured confounders.…

统计方法学 · 统计学 2025-10-10 Elaine K. Chiu , Hyunseung Kang

We describe two families of statistical tests to detect partial correlation in vectorial timeseries. The tests measure whether an observed timeseries Y can be predicted from a second series X, even after accounting for a third series Z…

统计方法学 · 统计学 2024-04-25 Kenneth D. Harris , Alex E. Yuan

We introduce nonparametric tests of independence for bivariate circular data based on trigonometric moments. Our contributions lie in (i) proposing nonparametric tests that are locally and asymptotically optimal against bivariate cosine von…

In contingency table analysis, the odds ratio is a commonly applied measure used to summarize the degree of association between two categorical variables, say R and S. Suppose now that for each individual in the table, a vector of…

统计方法学 · 统计学 2012-11-16 Francis K. C. Hui , Gery Geenens

Two-sample hypothesis testing for random graphs arises naturally in neuroscience, social networks, and machine learning. In this paper, we consider a semiparametric problem of two-sample hypothesis testing for a class of latent position…

统计方法学 · 统计学 2015-06-19 Minh Tang , Avanti Athreya , Daniel L. Sussman , Vince Lyzinski , Carey E. Priebe

We consider settings in which the data of interest correspond to pairs of ordered times, e.g, the birth times of the first and second child, the times at which a new user creates an account and makes the first purchase on a website, and the…

统计方法学 · 统计学 2020-11-19 Tamara Fernández , Wenkai Xu , Marc Ditzhaus , Arthur Gretton

Hypothesis test plays a key role in uncertain statistics based on uncertain measure. This paper extends the parametric hypothesis of a single uncertain population to multiple cases, thereby addressing a broader range of scenarios. First, an…

统计方法学 · 统计学 2025-12-03 Fan Zhang , Zhiming Li

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

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

统计理论 · 数学 2020-09-09 Joseph P. Romano , Marius A. Tirlea

This paper proposes a new mutual independence test for a large number of high dimensional random vectors. The test statistic is based on the characteristic function of the empirical spectral distribution of the sample covariance matrix. The…

统计理论 · 数学 2012-05-31 G. M. Pan , J. Gao , Y. Yang , M. Guo