On the interpretation of differences between groups for compositional data

Social polices are designed using information collected in surveys; such as the Catalan TimeUse survey. Accurate comparisons of time use data among population groups are commonlyanalysed using statistical methods. The total daily time expended on different activities by asingle person is equal to 24...

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Detalles Bibliográficos
Autores: Martín-Fernández, Josep-Antoni, Daunis-i-Estadella, Josep, Mateu-Figueras, Glòria
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/88510
Acceso en línea:https://hdl.handle.net/2117/88510
Access Level:acceso abierto
Palabra clave:Log-ratio transformations
MANOVA
perturbation
simplex
subcomposition
Classificació AMS::62 Statistics::62P Applications
Classificació AMS::62 Statistics::62F Parametric inference
Classificació AMS::62 Statistics::62H Multivariate analysis
Classificació AMS::62 Statistics::62J Linear inference, regression
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
Descripción
Sumario:Social polices are designed using information collected in surveys; such as the Catalan TimeUse survey. Accurate comparisons of time use data among population groups are commonlyanalysed using statistical methods. The total daily time expended on different activities by asingle person is equal to 24 hours. Because this type of data are compositional, its sample spacehas particular properties that statistical methods should respect. The critical points required tointerpret differences between groups are provided and described in terms of log-ratio methods.These techniques facilitate the interpretation of the relative differences detected in multivariateand univariate analysis.