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Testing hypothesis of independence between two random elements on a joint alphabet is a fundamental exercise in statistics. Pearson's chi-squared test is an effective test for such a situation when the contingency table is relatively small.…

统计理论 · 数学 2025-03-19 Jialin Zhang , Zhiyi Zhang

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

定量方法 · 定量生物学 2014-05-16 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

We analyze the complexity of Gibbs samplers for inference in crossed random effect models used in modern analysis of variance. We demonstrate that for certain designs the plain vanilla Gibbs sampler is not scalable, in the sense that its…

统计计算 · 统计学 2018-03-28 Omiros Papaspiliopoulos , Gareth O. Roberts , Giacomo Zanella

We define generalized innovations associated with generalized error models having arbitrary distributions, that is, distributions that can be mixtures of continuous and discrete distributions. These models include stochastic volatility…

统计方法学 · 统计学 2026-05-15 Kilani Ghoudi , Bouchra R. Nasri , Bruno N. Remillard

We consider testing multivariate conditional independence between a response Y and a covariate vector X given additional variables Z. We introduce the Multivariate Sufficient Statistic Conditional Randomization Test (MS-CRT), which…

统计方法学 · 统计学 2025-04-10 Xiaotong Lin , Jie Xie , Fangqiao Tian , Dongming Huang

When performing supervised learning with the model selected using validation error from sample splitting and cross validation, the minimum value of the validation error can be biased downward. We propose two simple methods that use the…

统计方法学 · 统计学 2018-02-13 Leying Guan

Classical tests for a difference in means control the type I error rate when the groups are defined a priori. However, when the groups are instead defined via clustering, then applying a classical test yields an extremely inflated type I…

统计方法学 · 统计学 2022-11-01 Lucy L. Gao , Jacob Bien , Daniela Witten

We consider testing for two-sample means of high dimensional populations by thresholding. Two tests are investigated, which are designed for better power performance when the two population mean vectors differ only in sparsely populated…

统计方法学 · 统计学 2014-10-13 Song Xi Chen , Jun Li , Ping-Shou Zhong

We study a rank based univariate two-sample distribution-free test. The test statistic is the difference between the average of between-group rank distances and the average of within-group rank distances. This test statistic is closely…

统计方法学 · 统计学 2018-02-28 Jamye Curry , Xin Dang , Hailin Sang

In this article we prove a generalization of the Ejsmont characterization of the multivariate normal distribution. Based on it, we propose a new test for independence and normality. The test uses an integral of the squared modulus of the…

统计理论 · 数学 2023-05-30 Wiktor Ejsmont , Bojana Milošević , Marko Obradović

The choice of sample size in the context of co-primary endpoints for a randomised trial is discussed. Current guidance can leave endpoints with unequal marginal power. A method is provided to achieve equal marginal power by using the…

统计方法学 · 统计学 2026-02-23 Simon Bond

Based on the median and the median absolute deviation estimators, and the Hodges-Lehmann and Shamos estimators, robustified analogues of the conventional $t$-test statistic are proposed. The asymptotic distributions of these statistics are…

应用统计 · 统计学 2022-02-24 Chanseok Park , Min Wang

We consider the problem of testing means from samples of two populations for which the labels are not defined with certainty. We show that this problem is connected to another one that is testing expected values of components of…

统计理论 · 数学 2012-05-18 Florent Autin , Christophe Pouet

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

A fundamental task in the analysis of datasets with many variables is screening for associations. This can be cast as a multiple testing task, where the objective is achieving high detection power while controlling type I error. We consider…

统计方法学 · 统计学 2021-09-01 Nikolaos Ignatiadis , Wolfgang Huber

Testing differences in mean vectors is a fundamental task in the analysis of high-dimensional compositional data. Existing methods may suffer from low power if the underlying signal pattern is in a situation that does not favor the deployed…

统计方法学 · 统计学 2025-03-11 Danning Li , Lingzhou Xue , Haoyi Yang , Xiufan Yu

The notion of testing for equivalence of two treatments is widely used in clinical trials, pharmaceutical experiments,bioequivalence and quality control. It is essentially approached within the intersection-union (IU) principle. According…

应用统计 · 统计学 2018-02-07 R. Arboretti , E. Carrozzo , F. Pesarin , L. Salmaso

In this paper, we use the method of modified signed log-likelihood ratio test for the problem of testing the equality of correlation coefficients in two independent bivariate normal distributions. We compare this method with two other…

统计方法学 · 统计学 2016-06-01 M. R. Kazemi , A. A. Jafari

While there appears to be a general consensus in the literature on the definition of the estimand and estimator associated with the Wilcoxon-Mann-Whitney test, it seems somewhat less clear as to how best to estimate the variance. In…

统计方法学 · 统计学 2022-08-03 Claus P. Nowak , Markus Pauly , Edgar Brunner

This paper studies one-sided hypothesis testing under random sampling without replacement. That is, when $n+1$ binary random variables $X_1,\ldots, X_{n+1}$ are subject to a permutation invariant distribution and $n$ binary random variables…

统计理论 · 数学 2022-11-07 Zihao Li , Huangjun Zhu , Masahito Hayashi