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.
Monti, G., Mateu Figueras, G., Pawlowsky, G., JJ Egozcue, V. (2016). A Regression Model for Compositional Data Based on the Shifted-Dirichlet Distribution. In J.A. Martín-Fernández, S. Thió-Henestrosa (a cura di), Compositional Data Analysis, Springer Proceedings in Mathematics & Statistics 187 (pp. 127-143). Springer New York LLC [10.1007/978-3-319-44811-4_9].
A Regression Model for Compositional Data Based on the Shifted-Dirichlet Distribution
MONTI, GIANNA SERAFINA
Primo
;
2016
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.
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