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Permutation-based partial-correlation tests guarantee finite-sample Type I error control under any fixed design and exchangeable noise, yet their power can collapse when the permutation-augmented design aligns too closely with the covariate…

统计方法学 · 统计学 2025-06-04 Tianyi Wang , Guanghui Wang , Zhaojun Wang , Changliang Zou

Regulatory authorities guide the use of permutation tests or randomization tests so as not to increase the type-I error rate when applying covariate-adaptive randomization in randomized clinical trials. For non-inferiority and equivalence…

应用统计 · 统计学 2023-12-27 Masahiro Kojima , Hirotaka Mano , Kana Yamada , Keisuke Hanada , Yuji Tanaka , Junji Moriya

We study a statistical framework for replicability based on a recently proposed quantitative measure of replication success, the sceptical $p$-value. A recalibration is proposed to obtain exact overall Type-I error control if the effect is…

统计方法学 · 统计学 2023-11-10 Charlotte Micheloud , Fadoua Balabdaoui , Leonhard Held

Many multiple testing procedures make use of the p-values from the individual pairs of hypothesis tests, and are valid if the p-value statistics are independent and uniformly distributed under the null hypotheses. However, it has recently…

统计方法学 · 统计学 2011-08-25 Joshua D. Habiger , Edsel A. Pena

We consider the problem of testing whether a correlation matrix of a multivariate normal population is the identity matrix. We focus on sparse classes of alternatives where only a few entries are nonzero and, in fact, positive. We derive a…

统计理论 · 数学 2015-04-15 Ery Arias-Castro , Sébastien Bubeck , Gábor Lugosi

Conventional supervised learning methods are often vulnerable to spurious correlations, particularly under distribution shifts in test data. To address this issue, several approaches, most notably Group DRO, have been developed. While these…

机器学习 · 计算机科学 2026-02-13 Sung Ho Jo , Seonghwi Kim , Minwoo Chae

In this paper, we investigate the problem of deciding whether two standard normal random vectors $\mathsf{X}\in\mathbb{R}^{n}$ and $\mathsf{Y}\in\mathbb{R}^{n}$ are correlated or not. This is formulated as a hypothesis testing problem,…

信息论 · 计算机科学 2024-07-26 Dor Elimelech , Wasim Huleihel

Conditional independence testing is a fundamental problem underlying causal discovery and a particularly challenging task in the presence of nonlinear and high-dimensional dependencies. Here a fully non-parametric test for continuous data…

机器学习 · 统计学 2017-09-06 Jakob Runge

Testing the association between SNP effects and a response is a common task. Such tests are often carried out through kernel machine methods based on least squares, such as the Sequence Kernel Association Test (SKAT). However, these least…

统计方法学 · 统计学 2019-01-29 Kara Martinez , Arnab Maity , Robert Yolken , Patrick Sullivan , Jung-Ying Tzeng

The Heckman selection model is widely used in econometric analysis and other social sciences to address sample selection bias in data modeling. A common assumption in Heckman selection models is that the error terms follow an independent…

统计方法学 · 统计学 2026-02-09 Heeju Lim , Victor E. Lachos , Victor H. Lachos

Heteroscedasticity testing is of importance in regression analysis. Existing local smoothing tests suffer severely from curse of dimensionality even when the number of covariates is moderate because of use of nonparametric estimation. In…

统计方法学 · 统计学 2015-10-14 Xuehu Zhu , Fei Chen , Xu Guo , Lixing Zhu

In this article, we propose a new class of consistent tests for $p$-variate normality. These tests are based on the characterization of the standard multivariate normal distribution, that the Hessian of the corresponding cumulant generating…

统计方法学 · 统计学 2023-03-22 Kwun Chuen Gary Chan , Hok Kan Ling , Chuan-Fa Tang , Sheung Chi Phillip Yam

Not a matter of serious contention, Pearson's correlation coefficient is still the most important statistical association measure. Restricted to just two variables, this measure sometimes doesn't live up to users' needs and expectations.…

数理金融 · 定量金融 2024-02-02 Reza Salimi , Kamran Pakizeh

Linear regression is arguably the most widely used statistical method. With fixed regressors and correlated errors, the conventional wisdom is to modify the variance-covariance estimator to accommodate the known correlation structure of the…

统计理论 · 数学 2024-10-11 Zifeng Zhang , Peng Ding , Wen Zhou , Haonan Wang

Classical dependence measures such as Pearson correlation, Spearman's $\rho$, and Kendall's $\tau$ can detect only monotonic or linear dependence. To overcome these limitations, Szekely et al.(2007) proposed distance covariance as a…

统计计算 · 统计学 2019-02-07 Arin Chaudhuri , Wenhao Hu

The synthetic control method is often applied to problems with one treated unit and a small number of control units. A common inferential task in this setting is to test null hypotheses regarding the average treatment effect on the treated.…

统计方法学 · 统计学 2025-04-22 Lihua Lei , Timothy Sudijono

With the violation of the assumption of homoskedasticity, least squares estimators of the variance become inefficient and statistical inference conducted with invalid standard errors leads to misleading rejection rates. Despite a vast…

计量经济学 · 经济学 2024-01-01 Annalivia Polselli

Rao's spacing test is a widely used nonparametric method for assessing uniformity on the circle. However, its broader applicability in practical settings has been limited because the null distribution is not easily calculated. As a result,…

统计方法学 · 统计学 2026-02-05 Yoshiki Kinoshita , Aya Shinozaki , Toshinari Kamakura

This paper utilizes the modified signed log-likelihood ratio method for the problem of inference about the common coefficient of variation in several independent normal populations. This method is applicable for both the problem of…

统计计算 · 统计学 2017-07-14 Mohmammad Reza Kazemi , Ali Akbar Jafari

In applied research, it is often sensible to account for one or several covariates when testing for differences between multivariate means of several groups. However, the "classical" parametric multivariate analysis of covariance (MANCOVA)…

统计方法学 · 统计学 2020-04-28 Georg Zimmermann , Markus Pauly , Arne C. Bathke