Visualizing Partially Ordered Sets for Socioeconomic Analysis

In this paper, we develop a visualization process for partial orders derived from considering many numerical indicators on a statistical population. The issue is relevant, particularly in the field of socio-economic evaluation, where explicitly taking into account incomparabilities among individuals...

Full description

Autores:
Fattore, Marco
Arcagni, Alberto
Barberis, Stefano
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66563
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66563
http://bdigital.unal.edu.co/67591/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Partial Order
Hasse Diagrams
Self-Organizing Map
Visualization
Diagramas Hasse
Mapa autoorganizado
Orden parcial
Visualización.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In this paper, we develop a visualization process for partial orders derived from considering many numerical indicators on a statistical population. The issue is relevant, particularly in the field of socio-economic evaluation, where explicitly taking into account incomparabilities among individuals proves much more informative than adhering to classical aggregative and compensative approaches, which collapse complexity into unidimensional rankings. We propose a process of visual analysis based on a combination of tools and concepts from partial order theory, multivariate statistics and visual design. We develop the process through a real example, based on data pertaining to regional competitiveness in Europe.