Chapter

Compositional Data Analysis

Volume 187 of the series Springer Proceedings in Mathematics & Statistics pp 127-143

Date:

A Regression Model for Compositional Data Based on the Shifted-Dirichlet Distribution

  • G. S. MontiAffiliated withDepartment of Economics, Management and Statistics, University of Milano-Bicocca Email author 
  • , G. Mateu-FiguerasAffiliated withDepartment of Computer Science, Applied Mathematics and Statistics, University of Girona
  • , V. Pawlowsky-GlahnAffiliated withDepartment of Computer Science, Applied Mathematics and Statistics, University of Girona
  • , J. J. EgozcueAffiliated withDepartment of Civil and Environmental Engineering, Technical University of Catalonia

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Abstract

Using an approach based on the Aitchison geometry of the simplex, a Shifted-Dirichlet covariate model is obtained. Allowing the parameters to change linearly with a set of covariates, their effects on the relative contributions of different components in a composition are assessed. An application of this model to sedimentary petrography is given.

Keywords

Dirichlet regression Simplicial regression Model selection