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A consistent multivariate test of association based on ranks of distances

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TLDR
In this paper, the problem of detecting associations between random vectors of any dimension is considered and a powerful test that is applicable in all dimensions and consistent against all alternatives is proposed. But the test has a simple form, is easy to implement, and has good power.
Abstract
SUMMARY We consider the problem of detecting associations between random vectors of any dimension. Few tests of independence exist that are consistent against all dependent alternatives. We propose a powerful test that is applicable in all dimensions and consistent against all alternatives. The test has a simple form, is easy to implement, and has good power.

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Posted Content

Metric Distributional Discrepancy in Metric Space.

TL;DR: In this article, a metric distributional discrepancy (MDD) measure is proposed to measure the dependence between a random element and a categorical variable, which is applicable to the medical image and genetic data.
Posted Content

A Goodness-of-Fit Test for Statistical Models

Hangjin Jiang
- 16 Jun 2020 - 
TL;DR: A new framework for testing whether the observations follow the proposed statistical model through building its connection with two-sample distribution comparison is proposed and can be applied to evaluate a wide range of models.
Journal ArticleDOI

Testing for differential abundance in compositional counts data, with application to microbiome studies

TL;DR: In this article , a nonparametric approach was proposed to identify differentially abundant taxa in the context of Crohn's disease using a set of reference taxa that can be estimated from the data or from outside information.
References
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Journal Article

R: A language and environment for statistical computing.

R Core Team
- 01 Jan 2014 - 
TL;DR: Copyright (©) 1999–2012 R Foundation for Statistical Computing; permission is granted to make and distribute verbatim copies of this manual provided the copyright notice and permission notice are preserved on all copies.
Journal ArticleDOI

The Analysis of Variance

TL;DR: In this paper, the basic theory of analysis of variance by considering several different mathematical models is examined, including fixed-effects models with independent observations of equal variance and other models with different observations of variance.
Journal ArticleDOI

Measuring and testing dependence by correlation of distances

TL;DR: Distance correlation is a new measure of dependence between random vectors that is based on certain Euclidean distances between sample elements rather than sample moments, yet has a compact representation analogous to the classical covariance and correlation.
Journal ArticleDOI

Applied smoothing techniques for data analysis : the kernel approach with S-plus illustrations

TL;DR: 1. Density estimation for exploring data 2. D density estimation for inference 3. Nonparametric regression for explore data 4. Inference with nonparametric regressors 5. Checking parametric regression models 6. Comparing regression curves and surfaces
Journal ArticleDOI

The Analysis of Variance.

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