Exploration of geochemical data with compositional canonical biplots.

ABSTRACT: The study of the relationships between two compositions is of paramount importance in geochemical data analysis. This paper develops a compositional version of canonical correlation analysis, called CoDA-CCO, for this purpose. We consider two approaches, using the centred log-ratio transformation and the calculation of all possible pairwise log-ratios within sets. The relationships between both approaches are pointed out, and their merits are discussed. The related covariance matrices are structurally singular, and this is efficiently dealt with by using generalized inverses. We develop compositional canonical biplots and detail their properties. The canonical biplots are shown to be powerful tools for discovering the most salient relationships between two compositions. Some guidelines for

SUBMITTER: Graffelman J 

PROVIDER: S-EPMC7839972 | biostudies-literature | 2018 Nov

REPOSITORIES: biostudies-literature