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Cßtedra Lluís Santaló de Aplicaciones de la Matemßtica

Recull de notícies

Recull de notícies

28/11/2011
Course and Open Seminar on Compositional Data Analysis

A short course to provide an introduction to the theoretical and practical aspects of statistical analysis of compositional data, as well as an informal discussion forum on more advanced modelling topics.

Dates: 2-6 July 2012
Organizer: Research Group on Statistical Data Analysis of University of Girona

Title: Course and Open Seminar on Compositional Data Analysis

Organizer: Research Group on Statistical and Data Analysis of University of Girona (UdG).


Objective: To provide an introduction to the theoretical and practical aspects of statistical analysis of compositional data, as well as an informal discussion forum on more advanced modelling topics.


Contents: Compositional data are vectors which components show the relative importance of some parts of a whole. Typical examples are data presented in percentages, ppm, ppb, or the like. Aitchison introduced the log-ratio approach to analyse CoDa back in the eighties. Since then, progress has been done in understanding the geometry peculiar to their sample space, the D-part simplex. This course will present the current state of the
art in this field of active research and will cover the following topics:

  1. Hypothesis underlying statistical data analysis (sample space, scale).
  2. The Aitchison geometry of the simplex.
  3. Coordinate representation; distributions on the simplex.
  4. Exploratory analysis (centering, variation array, biplot, balances-dendrogram).
  5. Linear processes in the simplex; regression.
  6. Introduction to multivariate analysis: cluster and discriminant.

The above topics will be completed with an introduction to available software and an open discussion session.

Further information: Course and Open Seminar on Compositional Data Analysis web