A review of canonical coordinates and an alternative to correspondence analysis using Hellinger distance.

Título inglés	A review of canonical coordinates and an alternative to correspondence analysis using Hellinger distance.
Título español	Revisión de las coordenadas canónicas y alternativa al análisis de correspondencia utilizando la distancia de Hellinger.
Autor/es	Rao, C. Radhakrishna
Organización	Dep. Statist. Pennsylvania State Univ., University Park (Pennsylvania), Estados Unidos
Revista	0210-8054
Publicación	1995, 19 (1-2-3): 23-63, 31 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In this paper a general theory of canonical coordinates is developed for reduction of dimensionality in multivariate data, assessing the loss of information and plotting higher dimensional data in two or three dimensions for visual displays. The theory is applied to data in two way tables with variables in one category and samples (individual or populations) in the other. Two types of data are considered, one with continuous measurements on the variables and another with frequencies of attributes. An alternative to the usual correspondence analysis of contingency tables based on the Hellinger rather than the chi-square distance is suggested. The new method has some attractive features and does not suffer from some inherent drawbacks resulting from the use of the chi-square distance and variable sample sizes for the populations in the correspondence analysis. The technique of biplots where the populations and the variables are represented on the same chart is discussed.
Clasificación UNESCO	120909
Palabras clave español	Análisis de correspondencias ; Análisis multivariante ; Tablas de contingencia
Código MathReviews	MR1376777
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