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For high-dimensional small sample size data, Hotelling's T2 test is not applicable for testing mean vectors due to the singularity problem in the sample covariance matrix. To overcome the problem, there are three main approaches in the…

统计方法学 · 统计学 2020-03-11 Zongliang Hu , Tiejun Tong , Marc G. Genton

We propose new tests for assessing whether covariates in a treatment group and matched control group are balanced in observational studies. The tests exhibit high power under a wide range of multivariate alternatives, some of which existing…

统计方法学 · 统计学 2019-02-28 Hao Chen , Dylan S. Small

Two-sample tests for multivariate data and especially for non-Euclidean data are not well explored. This paper presents a novel test statistic based on a similarity graph constructed on the pooled observations from the two samples. It can…

统计方法学 · 统计学 2024-08-12 Hao Chen , Jerome H. Friedman

Multivariate correlation analysis plays a key role in various fields such as statistics and big data analytics. In this paper, it is presented a new non-parametric association measure between more than two variables based on the concept of…

统计方法学 · 统计学 2024-02-13 Eloi Martinez-Rabert

We consider statistical procedures for hypothesis testing of real valued functionals of matched pairs with missing values. In order to improve the accuracy of existing methods, we propose a novel multiplication combination procedure.…

统计理论 · 数学 2018-01-29 Lubna Amro , Frank Konietschke , Markus Pauly

Data harmonization is the process by which an equivalence is developed between two variables measuring a common trait. Our problem is motivated by dementia research in which multiple tests are used in practice to measure the same underlying…

统计方法学 · 统计学 2021-10-13 Steven Wilkins-Reeves , Yen-Chi Chen , Kwun Chuen Gary Chan

In this paper, we present a new way of matching in observational studies that overcomes three limitations of existing matching approaches. First, it directly balances covariates with multi-valued treatments without requiring the generalized…

应用统计 · 统计学 2019-07-11 Magdalena Bennett , Juan Pablo Vielma , Jose R. Zubizarreta

When conducting a paired $2\times2$ crossover design, each subject is paired with another subject with similar characteristics. The pair is then randomized to the same sequence of two treatments. That is, the two subjects receive the first…

统计理论 · 数学 2008-12-18 Laura J. Simon , Vernon M. Chinchilli

Statistical tests that compare classification algorithms are univariate and use a single performance measure, e.g., misclassification error, $F$ measure, AUC, and so on. In multivariate tests, comparison is done using multiple measures…

机器学习 · 统计学 2014-09-17 Olcay Taner Yildiz , Ethem Alpaydin

Inferring brain connectivity network and quantifying the significance of interactions between brain regions are of paramount importance in neuroscience. Although there have recently emerged some tests for graph inference based on…

统计方法学 · 统计学 2019-08-23 Yuting Ye , Yin Xia , Lexin Li

We consider the problem of testing for treatment effect heterogeneity in observational studies, and propose a nonparametric test based on multisample U-statistics. To account for potential confounders, we use reweighted data where the…

统计方法学 · 统计学 2021-03-30 Maozhu Dai , Weining Shen , Hal S. Stern

This paper studies inference on the average treatment effect in experiments in which treatment status is determined according to "matched pairs" and it is additionally desired to adjust for observed, baseline covariates to gain further…

计量经济学 · 经济学 2023-10-20 Yuehao Bai , Liang Jiang , Joseph P. Romano , Azeem M. Shaikh , Yichong Zhang

Multivariate bounded discrete data arises in many fields. In the setting of dementia studies, such data is collected when individuals complete neuropsychological tests. We outline a modeling and inference procedure that can model the joint…

统计方法学 · 统计学 2026-02-10 Daniel Suen , Yen-Chi Chen

Matched-pair experimental designs aim to detect treatment effects by pairing participants and comparing within-pair outcome differences. In many situations, the overall effect size across the entire population is small. Then, the focus…

机器学习 · 计算机科学 2025-09-26 Weizhi Li , Gautam Dasarathy , Visar Berisha

Many tests have been proposed to remedy the classical Hotelling's $T^2$ test in the "large $p$, small $n$" paradigm, but the existence of an optimal sum-of-squares type test has not been explored. This paper shows that under certain…

统计方法学 · 统计学 2018-02-02 Jun Li , Yumou Qiu , Lingjun Li

Matching is a popular nonparametric covariate adjustment strategy in empirical health services research. Matching helps construct two groups comparable in many baseline covariates but different in some key aspects under investigation. In…

应用统计 · 统计学 2023-08-17 Chang Chen , Zhiyu Qian , Bo Zhang

In this paper, we study a generalization of the two-groups model in the presence of covariates --- a problem that has recently received much attention in the statistical literature due to its applicability in multiple hypotheses testing…

统计方法学 · 统计学 2019-02-01 Nabarun Deb , Sujayam Saha , Adityanand Guntuboyina , Bodhisattva Sen

Testing the equality in distributions of multiple samples is a common task in many fields. However, this problem for high-dimensional or non-Euclidean data has not been well explored. In this paper, we propose new nonparametric tests based…

统计方法学 · 统计学 2022-05-30 Hoseung Song , Hao Chen

We present the results of a large number of simulation studies regarding the power of various non-parametric two-sample tests for multivariate data. This includes both continuous and discrete data. In general no single method can be relied…

统计方法学 · 统计学 2025-07-23 Wolfgang Rolke

The sign and the signed-rank tests for univariate data are perhaps the most popular nonparametric competitors of the t test for paired sample problems. These tests have been extended in various ways for multivariate data in finite…

统计方法学 · 统计学 2014-11-25 Anirvan Chakraborty , Probal Chaudhuri
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