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Statistical techniques are used in all branches of science to determine the feasibility of quantitative hypotheses. One of the most basic applications of statistical techniques in comparative analysis is the test of equality of two…

统计方法学 · 统计学 2018-05-01 Ayanendranath Basu , Abhijit Mandal , Nirian Martin , Leandro Pardo

Inverse normal transformations applied to the partially overlapping samples t-tests by Derrick et.al. (2017) are considered for their Type I error robustness and power. The inverse normal transformation solutions proposed in this paper are…

统计计算 · 统计学 2017-08-02 Ben Derrick , Paul White , Deirdre Toher

We consider the problem of testing whether pairs of univariate random variables are associated. Few tests of independence exist that are consistent against all dependent alternatives and are distribution free. We propose novel tests that…

统计方法学 · 统计学 2014-12-09 Ruth Heller , Yair Heller , Shachar Kaufman , Malka Gorfine

This note points out how confidence interval estimates for standard deviation transform into confidence interval estimates for the power of F-tests at fixed alternative means. An application is shown for the test of a two-sided hypothesis…

统计理论 · 数学 2014-05-13 Ali Akbar Jafari , Abdollreza Bazargan-Lari , Mingfei

Nonparametric two sample testing deals with the question of consistently deciding if two distributions are different, given samples from both, without making any parametric assumptions about the form of the distributions. The current…

统计理论 · 数学 2014-11-25 Aaditya Ramdas , Sashank J. Reddi , Barnabas Poczos , Aarti Singh , Larry Wasserman

In this paper, we consider testing the homogeneity of risk differences in independent binomial distributions especially when data are sparse. We point out some drawback of existing tests in either controlling a nominal size or obtaining…

统计方法学 · 统计学 2018-05-31 Junyong Park , Iris Ivy Gauran

We study two nonparametric tests of the hypothesis that a sequence of independent observations is identically distributed against the alternative that at a single change point the distribution changes. The tests are based on the Cramer-von…

统计理论 · 数学 2020-10-15 Rasmus Erlemann , Richard Lockhart , Rihan Yao

In this paper we propose several variants to perform the independence test between two random elements based on recurrence rates. We will show how to calculate the test statistic in each one of these cases. From simulations we obtain that…

统计方法学 · 统计学 2020-09-21 Juan Kalemkerian , Diego Fernández

Consider two random variables contaminated by two unknown transformations. The aim of this paper is to test the equality of those transformations. Two cases are distinguished: first, the two random variables have known distributions.…

统计方法学 · 统计学 2011-11-01 Mohamed Boutahar , Denys Pommeret

A common task in high-throughput biology is to test for differences in means between two samples across thousands of features (e.g., genes or proteins), often with only a handful of replicates per sample. Moderated t-tests handle this…

统计方法学 · 统计学 2025-10-02 Wanyi Ling , Wufang Hong , Nikolaos Ignatiadis

The energy test method is a multi-dimensional test of whether two samples are consistent with arising from the same underlying population, through the calculation of a single test statistic (called the $T$-value). The method has recently…

数据分析、统计与概率 · 物理学 2018-04-19 W. Barter , C. Burr , C. Parkes

We propose a new nonparametric test for the supposition of independence between two continuous random variables. The test is based on the size of the longest increasing subsequence of a random permutation. We identified the independence…

统计方法学 · 统计学 2015-03-13 Jesus E. Garcia , Veronica A. Gonzalez-Lopez

This paper reexamines the seminal Lagrange multiplier test for cross-section independence in a large panel model where both the number of cross-sectional units n and the number of time series observations T can be large. The first…

计量经济学 · 经济学 2021-03-11 Zhaoyuan Li , Jianfeng Yao

Despite their importance in supporting experimental conclusions, standard statistical tests are often inadequate for research areas, like the life sciences, where the typical sample size is small and the test assumptions difficult to…

统计方法学 · 统计学 2011-04-15 Pietro Berkes , Jozsef Fiser

A new method based on the rejection sampling for finding statistical tests is proposed. This method is conceptually intuitive, easy to implement, and applicable for arbitrary dimension. To illustrate its potential applicability, three…

统计方法学 · 统计学 2026-03-11 Markku Kuismin

We consider the hypothesis testing problem of detecting a shift between the means of two multivariate normal distributions in the high-dimensional setting, allowing for the data dimension p to exceed the sample size n. Specifically, we…

统计理论 · 数学 2015-09-15 Miles E. Lopes , Laurent J. Jacob , Martin J. Wainwright

For testing two random vectors for independence, we consider testing whether the distance of one vector from a center point is independent from the distance of the other vector from a center point by a univariate test. In this paper we…

统计方法学 · 统计学 2016-03-11 Ruth Heller , Yair Heller

Testing differences between a treatment and control group is common practice in biomedical research like randomized controlled trials (RCT). The standard two-sample t-test relies on null hypothesis significance testing (NHST) via p-values,…

统计方法学 · 统计学 2020-05-18 Riko Kelter

Testing the equality of the covariance matrices of two high-dimensional samples is a fundamental inference problem in statistics. Several tests have been proposed but they are either too liberal or too conservative when the required…

统计理论 · 数学 2023-01-04 Jin-Ting Zhang , Jingyi Wang , Tianming Zhu

It is increasingly common to collect pre-post data with pseudonyms or self-constructed identifiers. On survey responses from sensitive populations, identifiers may be made optional to encourage higher response rates. The ability to match…

统计方法学 · 统计学 2023-12-25 Raymond Pomponio , Bailey K. Fosdick , Julia Wrobel , Ryan A. Peterson
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