Un análisis factorial de la asociación disimétrica entre dos variables cualitativas
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| Autores: | , |
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| Formato: | artículo original |
| Estado: | Versión publicada |
| Fecha de Publicación: | 1996 |
| Descripción: | Asymmetrical “relational association coefficients” are described. Measurements of these coefficients are expressed as inertia in the individual–space with a “relational inner product”. This geometrical and mechanical point of view on associations analysis, leads to a synthesis, an extension, of classical data analysis methods, based on the research of principal axes of a configuration of points, and to new methods. We propose a factor analysis fitted to a family of asymmetrical association coefficients between two qualitative variables, including the Goodman–Kruskal tau and its weighted or equally weighted extensions. This analysis improves results proposed by D’Ambra and Lauro, and gives a wide scope of applications. Besides, it is interesting to note that Correspondence Factor Analysis is obtained by applying the proposed analysis to the symmetrical Pearson’s mean square contingency association coefficient. One example on simulated data is described. |
| País: | Portal de Revistas UCR |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lenguaje: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/129 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/129 |
| Access Level: | acceso abierto |
| Palabra clave: | Factor analysis relational distance symmetrical and asymmetrical association coefficients Pearson’s mean square contingency coefficient correlation ratio canonical correlations Goodman–Kruskal tau Stewart–Love coefficient Análisis factorial distancia relacional coeficiente de asociación simétrica y disimétrica cuadrado medio de contingencia de Pearson cociente de correlación correlaciones canónicas tau de Goodman–Kruskal coeficiente de Stewart–Love |