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PawlowskyGlahn, Vera
Egozcue, Juan JosÃ© 

2011  
Within the special geometry of the simplex, the sample space of compositional data, compositional orthonormal coordinates allow the application of any multivariate statistical approach. The search for meaningful coordinates has suggested balances (between two groups of parts)â€”based on a sequential binary partition of a Dpart compositionâ€”and a representation in form of a CoDadendrogram. Projected samples are represented in a dendrogramlike graph showing: (a) the way of grouping parts; (b) the explanatory role of subcompositions generated in the partition process; (c) the decomposition of the variance; (d) the center and quantiles of each balance. The representation is useful for the interpretation of balances and to describe the sample in a single diagram independently of the number of parts. Also, samples of two or more populations, as well as several samples from the same population, can be represented in the same graph, as long as they have the same parts registered. The approach is illustrated with an example of food consumption in Europe  
application/pdf  
http://hdl.handle.net/10256/9362  
eng  
Austrian Statistical Society  
Tots els drets reservats  
AnÃ lisi multivariable
Multivariate analysis Aitchison, Geometria dâ€™ Aitchison Geometry EstadÃstica matemÃ tica Mathematical statistics 

Exploring Compositional Data with the CoDaDendrogram  
info:eurepo/semantics/article  
DUGiDocs 