Correlation Analysis for Compositional Data

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Imputation of missing values for compositional data using classical and robust methods (2010, methodology): “Applying standard statistical methods like correlation analysis or principal component analysis directly to compositional data would give misleading results (Pearson, 1897; Aitchison, 1986; Filzmoser and Hron, 2009; Filzmoser et al., 2009).”
On the Interpretation of Orthonormal Coordinates for Compositional Data (2011, background): “However, this is not the case for the correlation analysis in coordinates (Filzmoser and Hron 2009).”
Inferring Correlation Networks from Genomic Survey Data (2012, methodology): “Filzmoser and Hron [16] recently developed a method for inferring correlations in compositional data after an appropriate mathematical transformation, but their method does not provide a mapping relating the correlations of the transformed variables to those of the underlying genes or species.”