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Assessing the shared variation among high-dimensional data matrices: a modified version of the Procrustean correlation coefficient

View ORCID ProfileE. Coissac, View ORCID ProfileC. Gonindard-Melodelima
doi: https://doi.org/10.1101/842070
E. Coissac
1Université Grenoble Alpes, Université Savoie Mont Blanc, CNRS, LECA, Grenoble, F-38000, France
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  • For correspondence: eric.coissac@metabarcoding.org
C. Gonindard-Melodelima
1Université Grenoble Alpes, Université Savoie Mont Blanc, CNRS, LECA, Grenoble, F-38000, France
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Abstract

Motivation Molecular biology and ecology studies can produce high dimension data. Estimating correlations and shared variation between such data sets are an important step in disentangling the relationships between different elements of a biological system. Unfortunately, classical approaches are susceptible to producing falsely inferred correlations.

Results Here we propose a corrected version of the Procrustean correlation coefficient that is robust to high dimensional data. This allows for a correct estimation of the shared variation between two data sets and the partial correlation coefficients between a set of matrix data.

Availability The proposed corrected coefficients are implemented in the ProcMod R package available on CRAN. The git repository is hosted at https://git.metabarcoding.org/lecasofts/ProcMod

Contact eric.coissac{at}metabarcoding.org

Footnotes

  • Figures were redesigned to be black and white. Reference to the now accepted CRAN ProcMod package was added. Same typos were corrected

  • https://git.metabarcoding.org/lecasofts/ProcMod

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC-ND 4.0 International license.
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Posted December 09, 2019.
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Assessing the shared variation among high-dimensional data matrices: a modified version of the Procrustean correlation coefficient
E. Coissac, C. Gonindard-Melodelima
bioRxiv 842070; doi: https://doi.org/10.1101/842070
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Assessing the shared variation among high-dimensional data matrices: a modified version of the Procrustean correlation coefficient
E. Coissac, C. Gonindard-Melodelima
bioRxiv 842070; doi: https://doi.org/10.1101/842070

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