A Regression Model for Compositional Data Based on the Shifted-Dirichlet Distribution
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- Monti G.S., Mateu-Figueras G., Pawlowsky-Glahn V., Egozcue J.J. (2016) A Regression Model for Compositional Data Based on the Shifted-Dirichlet Distribution. In: Martín-Fernández J., Thió-Henestrosa S. (eds) Compositional Data Analysis. CoDaWork 2015. Springer Proceedings in Mathematics & Statistics, vol 187. Springer, Cham
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.