Item
Egozcue, Juan JosÃ©
PawlowskyGlahn, Vera 

2018 June 5  
Standard analysis of compositional data under the assumption that the Aitchison geometry holds assumes a uniform distribution as reference measure of the space. Weighting of parts can be done changing the reference measure. The changes that appear in the algebraicgeometric structure of the simplex are analysed, as a step towards understanding the implications for elementary statistics of random compositions. Some of the standard tools in exploratory analysis of compositional data analysis, such as center, variation matrix and biplots are studied in some detail, although further research is still needed. The main conclusion is that downweighting some parts is approaching the geometry of the corresponding subcomposition, thus preserving a kind of coherence between standard and downweighted analyses  
http://hdl.handle.net/2072/321116  
eng  
Austrian Statistical Society  
Reconeixement 3.0 Espanya  
http://creativecommons.org/licenses/by/3.0/es/deed.ca  
AnÃ lisi multivariable
EstadÃstica bayesiana Multivariate analysis Bayesian statistical decision 

Changing the reference measure in the simplex and its weighting effects  
info:eurepo/semantics/article  
Recercat 