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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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Journal ArticleDOI

A Critical Review of the Applications and AI Techniques for Anomaly Detection

TL;DR: This paper has evaluated the applications and methods of anomaly detection and found that more conventional approaches for anomaly detection cannot function in a proper manner.
Posted Content

High-Dimensional Independence Testing and Maximum Marginal Correlation.

TL;DR: It is proved that the maximum method can be valid and universally consistent for testing high-dimensional dependence under regularity conditions, and when and how themaximum method may outperform other methods are demonstrated.
Posted Content

Analyzing Large Biological Datasets with an Improved Algorithm for MIC

Shuliang Wang, +1 more
- 14 Mar 2014 - 
TL;DR: In this article, an improved approximation algorithm for MIC (maximal information coefficient) named IAMIC is suggested to perfect this framework for discovering the hidden regularities between biological annotations, which is the enhanced algorithm for approximating a novel similarity coefficient MIC with generality and equitability.
Journal ArticleDOI

Independence of EPR and PAP tests performed on resistance spot welding joints

TL;DR: In this paper, the possible relationships among the variables of the potentiodynamic anodic polarisation (PAP) test and the electrochemical potentiokinetic reactivation (EPR) test, both performed on resistance spot welding joints of AISI 304 stainless steel, are investigated.
Journal ArticleDOI

Testing Independence Under Biased Sampling

TL;DR: This work develops a test motivated by the classic Hoeffding's statistic, and uses two approaches to compute its distribution under the null: a bootstrap-based approach and an exact permutation-test with non-uniform probability of permutations.
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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