2013
DOI: 10.1002/env.2238
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A comparison of the Mantel test with a generalised distance covariance test

Abstract: The Mantel test based on a comparison of two distance matrices belongs to standard statistical tools for assessing an association between two sets of variables. Even though it has been widely used in biological, ecological and related studies, several objective criticisms have appeared recently in the methodological literature. In this paper, we compare the Mantel test with a generalisation of a recently introduced concept of distance covariance (dCov). This generalisation, denoted further as dCovG, keeps the … Show more

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Cited by 22 publications
(18 citation statements)
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“…Minas et al [69] show that the Mantel test is less powerful than the test based on the GRV coefficient (4.1) using simulations. In the same way, Omelka and Hudecová [75] underlined the superiority of the dCov test over the Mantel test. However, despite its widespread use, some of the properties of the Mantel test are unclear and recently its utility questioned [75].…”
Section: Beyond Euclidean Distancesmentioning
confidence: 85%
See 1 more Smart Citation
“…Minas et al [69] show that the Mantel test is less powerful than the test based on the GRV coefficient (4.1) using simulations. In the same way, Omelka and Hudecová [75] underlined the superiority of the dCov test over the Mantel test. However, despite its widespread use, some of the properties of the Mantel test are unclear and recently its utility questioned [75].…”
Section: Beyond Euclidean Distancesmentioning
confidence: 85%
“…In the same way, Omelka and Hudecová [75] underlined the superiority of the dCov test over the Mantel test. However, despite its widespread use, some of the properties of the Mantel test are unclear and recently its utility questioned [75]. Legendre and Fortin [61] show that the Mantel coefficient is not equal to 0 when the covariance between the two sets of variables is null and thus can’t be used to detect linear relationships.…”
Section: Beyond Euclidean Distancesmentioning
confidence: 85%
“…In order to compare the three dissimilarity matrices arising from co-citation, editorial board and author networks for each discipline, we adopt the generalized distance correlation R d suggested by Omelka and Hudecová (2013) on the basis of the seminal proposal by Székely et al (2007). It should be remarked that such a correlation index avoids the drawbacks emphasized by Dutilleul et al (2000) when the classical Mantel coefficient is assumed instead (Omelka and Hudecova 2013 From the analysis of Table 1, the dependence between the considered dissimilarity matrices is apparent. Indeed, the observed values of √ R d are greater than (or nearly equal to) the value 0.5 for each combination of networks in the three disciplines.…”
Section: Dissimilarities Among Networkmentioning
confidence: 99%
“…Distance matrices of resistance genes, 16S rRNA genes, and housekeeping genes sequences were calculated with Phylip 3.69 software [35]. Correlation analysis was based on generalized distance covariance test [41] based on the method developed by Szekely et al [42]. As the aim of the study is explanatory, no correction of p-values for multiple testing was used.…”
Section: Methodsmentioning
confidence: 99%