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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

In this paper, a Bayesian approach is developed for simultaneously comparing multiple experimental treatments with a common control treatment in an exploratory clinical trial. The sample size is set to ensure that, at the end of the study,…

统计理论 · 数学 2019-11-14 John Whitehead , Faye Cleary , Amanda Turner

The search for higher-order feature interactions that are statistically significantly associated with a class variable is of high relevance in fields such as Genetics or Healthcare, but the combinatorial explosion of the candidate space…

机器学习 · 统计学 2019-05-13 Mahito Sugiyama , Karsten Borgwardt

Permutation tests are widely used for statistical hypothesis testing when the sampling distribution of the test statistic under the null hypothesis is analytically intractable or unreliable due to finite sample sizes. One critical challenge…

统计计算 · 统计学 2023-08-29 Yang Shi , Huining Kang , Ji-Hyun Lee , Hui Jiang

Variational mutual information (MI) estimators are widely used in unsupervised representation learning methods such as contrastive predictive coding (CPC). A lower bound on MI can be obtained from a multi-class classification problem, where…

机器学习 · 计算机科学 2020-12-04 Jiaming Song , Stefano Ermon

It is often of interest to test a global null hypothesis using multiple, possibly dependent $p$-values by combining their strengths while controlling the type-I error. Recently, several heavy-tailed combination tests, such as the harmonic…

统计理论 · 数学 2026-03-25 Parijat Chakraborty , F. Richard Guo , Kerby Shedden , Stilian Stoev

Most work in causal inference considers deterministic interventions that set each unit's treatment to some fixed value. However, under positivity violations these interventions can lead to non-identification, inefficiency, and effects with…

统计方法学 · 统计学 2018-06-20 Edward H. Kennedy

The e-value is swiftly rising in prominence in many applications of hypothesis testing and multiple testing, yet its relationship to classical testing theory remains elusive. We unify e-values and classical testing into a single 'continuous…

统计理论 · 数学 2025-05-12 Nick W. Koning

For a given testing problem, let $U_1,...,U_n$ be individually valid and conditionally on the data i.i.d.\ P-variables (often called P-values). For example, the data could come in groups, and each $U_i$ could be based on subsampling just…

统计方法学 · 统计学 2011-08-22 Lutz Mattner

Concerns have been expressed over the validity of statistical inference under covariate-adaptive randomization despite the extensive use in clinical trials. In the literature, the inferential properties under covariate-adaptive…

统计方法学 · 统计学 2022-07-05 Li Yang , Wei Ma , Yichen Qin , Feifang Hu

Randomization inference is a widely-used and appealing approach for analyzing treatment effects in randomized experiments, as it is finite-sample valid and does not require any distributional assumptions. However, naive application of…

计量经济学 · 经济学 2026-05-12 Xinran Li , Peizan Sheng , Zeyang Yu

Combining dependent p-values poses a long-standing challenge in statistical inference, particularly when aggregating findings from multiple methods to enhance signal detection. Recently, p-value combination tests based on regularly…

统计方法学 · 统计学 2025-04-22 Lin Gui , Yuchao Jiang , Jingshu Wang

In the context of multiple hypotheses testing, the proportion $\pi_0$ of true null hypotheses in the pool of hypotheses to test often plays a crucial role, although it is generally unknown a priori. A testing procedure using an implicit or…

统计理论 · 数学 2009-02-17 Gilles Blanchard , Etienne Roquain

Testing whether a variable of interest affects the outcome is one of the most fundamental problem in statistics and is often the main scientific question of interest. To tackle this problem, the conditional randomization test (CRT) is…

统计方法学 · 统计学 2023-05-26 Dae Woong Ham , Jiaze Qiu

The indirect effect of an exposure on an outcome through an intermediate variable can be identified by a product of two regression coefficients under certain causal and regression modeling assumptions. In this context, the null hypothesis…

统计理论 · 数学 2025-07-23 Caleb H. Miles , Antoine Chambaz

In many settings, robust data analysis involves computational methods for uncertainty quantification and statistical inference. To design frequentist studies that leverage robust analysis methods, suitable sample sizes to achieve desired…

统计方法学 · 统计学 2025-12-19 Luke Hagar , Andrew J. Martin

Generalizations to the permutation test are introduced to allow for situations in which the null model is not exchangeable. It is shown that the generalized permutation tests are exact, and a partial converse: that any test function that is…

统计方法学 · 统计学 2018-09-03 Jeffrey Roach , William Valdar

Increased availability of data and accessibility of computational tools in recent years have created unprecedented opportunities for scientific research driven by statistical analysis. Inherent limitations of statistics impose constrains on…

基因组学 · 定量生物学 2016-09-13 Olga A. Vsevolozhskaya , Gabriel Ruiz , Dmitri V. Zaykin

Many large-scale testing procedures learn signal structure from the data to boost power. Direct data reuse can inflate Type-I error ("double dipping"), so a common remedy is masking: withholding some information during learning and using it…

统计理论 · 数学 2026-04-02 Abhinav Chakraborty , Junu Lee , Eugene Katsevich

Handling multiplicity without losing much power has been a persistent challenge in various fields that often face the necessity of managing numerous statistical tests simultaneously. Recently, $p$-value combination methods based on…

统计理论 · 数学 2024-02-06 Yeonwoo Rho