Un análisis factorial de la asociación disimétrica entre dos variables cualitativas

 

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書誌詳細
著者: Abdesselam, Rafik, Schektman, Yves
フォーマット: artículo original
状態:Versión publicada
出版日付:1996
その他の書誌記述: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.
国:Portal de Revistas UCR
機関:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
言語:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/129
オンライン・アクセス:https://revistas.ucr.ac.cr/index.php/matematica/article/view/129
キーワード: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