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Main Authors: Wang, Andi, Yan, Hao, Du, Juan
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2305.14767
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author Wang, Andi
Yan, Hao
Du, Juan
author_facet Wang, Andi
Yan, Hao
Du, Juan
contents Distance covariance is a widely used statistical methodology for testing the dependency between two groups of variables. Despite the appealing properties of consistency and superior testing power, the testing results of distance covariance are often hard to be interpreted. This paper presents an elementary interpretation of the mechanism of distance covariance through an additive decomposition of correlations formula. Based on this formula, a visualization method is developed to provide practitioners with a more intuitive explanation of the distance covariance score.
format Preprint
id arxiv_https___arxiv_org_abs_2305_14767
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Interpretation and visualization of distance covariance through additive decomposition of correlations formula
Wang, Andi
Yan, Hao
Du, Juan
Methodology
Distance covariance is a widely used statistical methodology for testing the dependency between two groups of variables. Despite the appealing properties of consistency and superior testing power, the testing results of distance covariance are often hard to be interpreted. This paper presents an elementary interpretation of the mechanism of distance covariance through an additive decomposition of correlations formula. Based on this formula, a visualization method is developed to provide practitioners with a more intuitive explanation of the distance covariance score.
title Interpretation and visualization of distance covariance through additive decomposition of correlations formula
topic Methodology
url https://arxiv.org/abs/2305.14767