AoV-PLS: a new method for the analysis of multivariate data depending on several factors

A new method for the analysis of a multivariate dataset depending on several factors is proposed. It is called AoV-PLS (Analysis of VariancePLS). It is based on the decomposition of the dataset into the main effects, the interactions effects and possibly the residual matrix using a model akin to ana...

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Bibliographic Details
Published in:Electrophoresis 2015, Vol.8 (2), p.214-235
Main Authors: El Ghaziri, Angelina, Qannari, El Mostafa, Moyon, Thomas, Alexandre-Gouabau, Marie Cécile
Format: Article
Language:English
Subjects:
Mathematics
Probability
Statistics
Online Access:Get full text
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Summary:A new method for the analysis of a multivariate dataset depending on several factors is proposed. It is called AoV-PLS (Analysis of VariancePLS). It is based on the decomposition of the dataset into the main effects, the interactions effects and possibly the residual matrix using a model akin to analysis of variance (ANOVA). Each effect is considered in turn and assessed through the use of a Partial Least Square regression (PLS-regression). The connection of AoV-PLS to competing methods such as ANOVA-PCA and ANOVA-Simultaneous Component Analysis (ASCA) is emphasized and these methods are compared on the basis of a dataset pertaining to metabolomics field.
ISSN:0173-0835
1522-2683
DOI:10.1285/i20705948v8n2p214