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.
Capitolo o saggio
Dirichlet regression; Model selection; Simplicial regression;
Dirichlet regression, Simplicial regression, Model selection
English
Compositional Data Analysis, Springer Proceedings in Mathematics & Statistics 187
Martín-Fernández, JA; Thió-Henestrosa, S
2016
9783319448107
187
Springer New York LLC
127
143
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/138395
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