Insights in Hierarchical Clustering of Variables for Compositional Data

R-mode hierarchical clustering is a method for forming hierarchical groups of mutually exclusive subsets of variables. This R-mode cluster method identifies interrelationships between variables which are useful for variable selection and dimension reduction. Importantly, the method is based on metri...

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Detalles Bibliográficos
Autores: Martín Fernández, Josep Antoni, Di Donato, Valentino, Pawlowsky-Glahn, Vera, Egozcue, Juan José
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
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:10256/24129
Acceso en línea:http://hdl.handle.net/10256/24129
Access Level:acceso abierto
Palabra clave:Anàlisi multivariable
Anàlisi de conglomerats
Multivariate analysis
Cluster analysis
Anàlisi de covariància
Analysis of covariance
Descomposició (Matemàtica)
Decomposition (Mathematics)
Descripción
Sumario:R-mode hierarchical clustering is a method for forming hierarchical groups of mutually exclusive subsets of variables. This R-mode cluster method identifies interrelationships between variables which are useful for variable selection and dimension reduction. Importantly, the method is based on metric elements defined on the sample space of variables. Consequently, hierarchical clustering of compositional parts should respect the particular geometry of the simplex. In this work, the connections between concepts such as distance, cluster representative, compositional biplot, and log-ratio basis are explored within the framework of the most popular R-mode agglomerative hierarchical clustering methods. The approach is illustrated in a paleoecological study to identify groups of species sharing similar behavior