Proportionality: a valid alternative to correlation for relative data.

In the life sciences, many measurement methods yield only the relative abundances of different components in a sample. With such relative-or compositional-data, differential expression needs careful interpretation, and correlation-a statistical workhorse for analyzing pairwise relationships-is an in...

Full description

Saved in:
Bibliographic Details
Main Authors: David Lovell, Vera Pawlowsky-Glahn, Juan José Egozcue, Samuel Marguerat, Jürg Bähler
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-03-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1004075
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850125515244961792
author David Lovell
Vera Pawlowsky-Glahn
Juan José Egozcue
Samuel Marguerat
Jürg Bähler
author_facet David Lovell
Vera Pawlowsky-Glahn
Juan José Egozcue
Samuel Marguerat
Jürg Bähler
author_sort David Lovell
collection DOAJ
description In the life sciences, many measurement methods yield only the relative abundances of different components in a sample. With such relative-or compositional-data, differential expression needs careful interpretation, and correlation-a statistical workhorse for analyzing pairwise relationships-is an inappropriate measure of association. Using yeast gene expression data we show how correlation can be misleading and present proportionality as a valid alternative for relative data. We show how the strength of proportionality between two variables can be meaningfully and interpretably described by a new statistic ϕ which can be used instead of correlation as the basis of familiar analyses and visualisation methods, including co-expression networks and clustered heatmaps. While the main aim of this study is to present proportionality as a means to analyse relative data, it also raises intriguing questions about the molecular mechanisms underlying the proportional regulation of a range of yeast genes.
format Article
id doaj-art-330a1dbe2de04778a95ecf6f10e49b2a
institution OA Journals
issn 1553-734X
1553-7358
language English
publishDate 2015-03-01
publisher Public Library of Science (PLoS)
record_format Article
series PLoS Computational Biology
spelling doaj-art-330a1dbe2de04778a95ecf6f10e49b2a2025-08-20T02:34:06ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582015-03-01113e100407510.1371/journal.pcbi.1004075Proportionality: a valid alternative to correlation for relative data.David LovellVera Pawlowsky-GlahnJuan José EgozcueSamuel MargueratJürg BählerIn the life sciences, many measurement methods yield only the relative abundances of different components in a sample. With such relative-or compositional-data, differential expression needs careful interpretation, and correlation-a statistical workhorse for analyzing pairwise relationships-is an inappropriate measure of association. Using yeast gene expression data we show how correlation can be misleading and present proportionality as a valid alternative for relative data. We show how the strength of proportionality between two variables can be meaningfully and interpretably described by a new statistic ϕ which can be used instead of correlation as the basis of familiar analyses and visualisation methods, including co-expression networks and clustered heatmaps. While the main aim of this study is to present proportionality as a means to analyse relative data, it also raises intriguing questions about the molecular mechanisms underlying the proportional regulation of a range of yeast genes.https://doi.org/10.1371/journal.pcbi.1004075
spellingShingle David Lovell
Vera Pawlowsky-Glahn
Juan José Egozcue
Samuel Marguerat
Jürg Bähler
Proportionality: a valid alternative to correlation for relative data.
PLoS Computational Biology
title Proportionality: a valid alternative to correlation for relative data.
title_full Proportionality: a valid alternative to correlation for relative data.
title_fullStr Proportionality: a valid alternative to correlation for relative data.
title_full_unstemmed Proportionality: a valid alternative to correlation for relative data.
title_short Proportionality: a valid alternative to correlation for relative data.
title_sort proportionality a valid alternative to correlation for relative data
url https://doi.org/10.1371/journal.pcbi.1004075
work_keys_str_mv AT davidlovell proportionalityavalidalternativetocorrelationforrelativedata
AT verapawlowskyglahn proportionalityavalidalternativetocorrelationforrelativedata
AT juanjoseegozcue proportionalityavalidalternativetocorrelationforrelativedata
AT samuelmarguerat proportionalityavalidalternativetocorrelationforrelativedata
AT jurgbahler proportionalityavalidalternativetocorrelationforrelativedata