Fundamental Concepts on Classification and Statistical Implicative Analysis for Modal Variables

The present work offers some fundamental concepts of the Statistical Implicative Analysis for modal variables and proposes an index to establish the similarity between two modal variables. Expressions to calculate typicality and contribution of the individuals to the classes that are formed in the c...

Full description

Autores:
Zamora-Matamoros, Larisa
Díaz-Silvera, Jorge Rey
Portuondo-Mallet, Lariza
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66529
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66529
http://bdigital.unal.edu.co/67557/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Classificatory Analysis
Typicality
Contribution
Modal Variables
Análisis clasificatorio
Tipicalidad
Contribución
Variables modales.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:The present work offers some fundamental concepts of the Statistical Implicative Analysis for modal variables and proposes an index to establish the similarity between two modal variables. Expressions to calculate typicality and contribution of the individuals to the classes that are formed in the classification are also presented. This technique is illustrated by two examples, one with binary data, which allows  the coincidence between the formulas presented and the existent for the binary case to be shown, and the other for modal data with more than two modalities.