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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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) |
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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. |
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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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