On Interpretations of tests and effect sizes in regression models with a compositional predictor

Compositional data analysis is concerned with the relative importance of positive variables, expressed through their log-ratios. The literature has proposed a range of manners to compute log-ratios, some of whose interrelationships have never been reported when used as explanatory variables in regre...

Descripción completa

Detalles Bibliográficos
Autores: Coenders, Germà, Pawlowsky-Glahn, Vera
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/19128
Acceso en línea:http://hdl.handle.net/10256/19128
Access Level:acceso abierto
Palabra clave:Anàlisi de regressió
Estadística matemàtica
Anàlisi multivariable
Regression analysis
Mathematical statistics
Multivariate analysis
Descripción
Sumario:Compositional data analysis is concerned with the relative importance of positive variables, expressed through their log-ratios. The literature has proposed a range of manners to compute log-ratios, some of whose interrelationships have never been reported when used as explanatory variables in regressionmodels. This article shows their similarities and differences in interpretation based on the notion that one log-ratio has to be interpreted keeping all others constant. The article shows that centred, additive, pivot, balance and pairwise log-ratios lead to simple reparametrizations of the same model which can be combined to provide useful tests and comparable effect size estimates