Modelización y análisis de datos sobre proporciones
- Palarea Albaladejo, Javier
- Martín Fernández, Josep Antoni
- Gómez García, Juan
- Fernández Arufe, Josefa E. (dir.)
- Rojo García, José Luis (dir.)
- Moyano Pesquera, Pedro Benito (coord.)
- Somarriba Arechavala, Noelia (coord.)
Publisher: Asociación Española de Economía Aplicada, ASEPELT
ISBN: 84-96477-93-2
Year of publication: 2007
Volume Title: Área VII : Métodos cuantitativos
Volume: 7
Pages: 149-168
Congress: ASEPELT España. Reunión anual (21. 2007. Valladolid)
Type: Conference paper
Abstract
In some scopes analysts frequently work with data that represent parts of a whole: proportions, percentages, parts per million, or similar. This is the case of household budgets, investment portfolios, time budgets, sales by region, and others. The no-negativity and constant-sum constraints characterizing this kind of data imply that common multivariate techniques are not suitable for modelling purposes. The key feature is that the geometry of the sample space on which data are defined, the simplex, differs from the classical Euclidean geometry of real space. In this paper, the theoretical foundations, the geometry of the simplex, the log-ratio methodology and some other relevant practical issues will be reviewed. The theoretical aspects are illustrated by examples which motivate the exposition. Finally, some applications from the economic field are presented.