Much beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.

The correlation of multivariate data is a common task in investigations of soil biology and in ecology in general. Procrustes analysis and the Mantel test are two approaches that often meet this objective and are considered analogous in many situations especially when used as a statistical test to a...

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Autores principales: Francy Junio Gonçalves Lisboa, Pedro R Peres-Neto, Guilherme Montandon Chaer, Ederson da Conceição Jesus, Ruth Joy Mitchell, Stephen James Chapman, Ricardo Luis Louro Berbara
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Publicado: Public Library of Science (PLoS) 2014
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Acceso en línea:https://doaj.org/article/45010c4c75a846569d7a289696e88e54
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spelling oai:doaj.org-article:45010c4c75a846569d7a289696e88e542021-11-11T08:21:07ZMuch beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.1932-620310.1371/journal.pone.0101238https://doaj.org/article/45010c4c75a846569d7a289696e88e542014-01-01T00:00:00Zhttps://www.ncbi.nlm.nih.gov/pmc/articles/pmid/24971901/?tool=EBIhttps://doaj.org/toc/1932-6203The correlation of multivariate data is a common task in investigations of soil biology and in ecology in general. Procrustes analysis and the Mantel test are two approaches that often meet this objective and are considered analogous in many situations especially when used as a statistical test to assess the statistical significance between multivariate data tables. Here we call the attention of ecologists to the advantages of a less familiar application of the Procrustean framework, namely the Procrustean association metric (a vector of Procrustean residuals). These residuals represent differences in fit between multivariate data tables regarding homologous observations (e.g., sampling sites) that can be used to estimate local levels of association (e.g., some groups of sites are more similar in their association between biotic and environmental features than other groups of sites). Given that in the Mantel framework, multivariate information is translated into a pairwise distance matrix, we lose the ability to contrast homologous data points across dimensions and data matrices after their fit. In this paper, we attempt to familiarize ecologists with the benefits of using these Procrustean residual differences to further gain insights about the processes underlying the association among multivariate data tables using real and hypothetical examples.Francy Junio Gonçalves LisboaPedro R Peres-NetoGuilherme Montandon ChaerEderson da Conceição JesusRuth Joy MitchellStephen James ChapmanRicardo Luis Louro BerbaraPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 9, Iss 6, p e101238 (2014)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Francy Junio Gonçalves Lisboa
Pedro R Peres-Neto
Guilherme Montandon Chaer
Ederson da Conceição Jesus
Ruth Joy Mitchell
Stephen James Chapman
Ricardo Luis Louro Berbara
Much beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.
description The correlation of multivariate data is a common task in investigations of soil biology and in ecology in general. Procrustes analysis and the Mantel test are two approaches that often meet this objective and are considered analogous in many situations especially when used as a statistical test to assess the statistical significance between multivariate data tables. Here we call the attention of ecologists to the advantages of a less familiar application of the Procrustean framework, namely the Procrustean association metric (a vector of Procrustean residuals). These residuals represent differences in fit between multivariate data tables regarding homologous observations (e.g., sampling sites) that can be used to estimate local levels of association (e.g., some groups of sites are more similar in their association between biotic and environmental features than other groups of sites). Given that in the Mantel framework, multivariate information is translated into a pairwise distance matrix, we lose the ability to contrast homologous data points across dimensions and data matrices after their fit. In this paper, we attempt to familiarize ecologists with the benefits of using these Procrustean residual differences to further gain insights about the processes underlying the association among multivariate data tables using real and hypothetical examples.
format article
author Francy Junio Gonçalves Lisboa
Pedro R Peres-Neto
Guilherme Montandon Chaer
Ederson da Conceição Jesus
Ruth Joy Mitchell
Stephen James Chapman
Ricardo Luis Louro Berbara
author_facet Francy Junio Gonçalves Lisboa
Pedro R Peres-Neto
Guilherme Montandon Chaer
Ederson da Conceição Jesus
Ruth Joy Mitchell
Stephen James Chapman
Ricardo Luis Louro Berbara
author_sort Francy Junio Gonçalves Lisboa
title Much beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.
title_short Much beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.
title_full Much beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.
title_fullStr Much beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.
title_full_unstemmed Much beyond Mantel: bringing Procrustes association metric to the plant and soil ecologist's toolbox.
title_sort much beyond mantel: bringing procrustes association metric to the plant and soil ecologist's toolbox.
publisher Public Library of Science (PLoS)
publishDate 2014
url https://doaj.org/article/45010c4c75a846569d7a289696e88e54
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