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

Rao, C. Radhakrishna. "A review of canonical coordinates and an alternative to correspondence analysis using Hellinger distance.." Qüestiió 19.1-2-3 (1995): 23-63. <http://eudml.org/doc/40238>.

@article{Rao1995,
abstract = {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.},
author = {Rao, C. Radhakrishna},
journal = {Qüestiió},
keywords = {Análisis de correspondencias; Análisis multivariante; Tablas de contingencia; canonical coordinates; chi-square distance; contingency tables; correspondence analysis; Hellinger distance; matrix approximations; power divergence tests; principal component analysis},
language = {eng},
number = {1-2-3},
pages = {23-63},
title = {A review of canonical coordinates and an alternative to correspondence analysis using Hellinger distance.},
url = {http://eudml.org/doc/40238},
volume = {19},
year = {1995},
}

TY - JOUR
AU - Rao, C. Radhakrishna
TI - A review of canonical coordinates and an alternative to correspondence analysis using Hellinger distance.
JO - Qüestiió
PY - 1995
VL - 19
IS - 1-2-3
SP - 23
EP - 63
AB - 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.
LA - eng
KW - Análisis de correspondencias; Análisis multivariante; Tablas de contingencia; canonical coordinates; chi-square distance; contingency tables; correspondence analysis; Hellinger distance; matrix approximations; power divergence tests; principal component analysis
UR - http://eudml.org/doc/40238
ER -