Local Principal Components Analysis.

Tomàs. Aluja Banet; Ramón Nonell Torrent

Qüestiió (1991)

  • Volume: 15, Issue: 3, page 267-278
  • ISSN: 0210-8054

Abstract

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Principal Components Analysis deals mainly with the analysis of large data sets with multivariate structure in an observational context for exploraty purposes. The factorial planes produced will show the main oppositions between variables and individuals. However, we may be interested in going further by controlling the effect of some latent or third variable which expresses some well-defined phenomenon. We go through this by means of a graph among individuals, following the same idea of instrumental variables as Rao, or partial correlation analysis. We call such analysis Local Principal Components Analysis, which consists of defining a semi-metric upon the variable spaces. Finally, we illustrate this with an example.

How to cite

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Aluja Banet, Tomàs., and Nonell Torrent, Ramón. "Local Principal Components Analysis.." Qüestiió 15.3 (1991): 267-278. <http://eudml.org/doc/40335>.

@article{AlujaBanet1991,
abstract = {Principal Components Analysis deals mainly with the analysis of large data sets with multivariate structure in an observational context for exploraty purposes. The factorial planes produced will show the main oppositions between variables and individuals. However, we may be interested in going further by controlling the effect of some latent or third variable which expresses some well-defined phenomenon. We go through this by means of a graph among individuals, following the same idea of instrumental variables as Rao, or partial correlation analysis. We call such analysis Local Principal Components Analysis, which consists of defining a semi-metric upon the variable spaces. Finally, we illustrate this with an example.},
author = {Aluja Banet, Tomàs., Nonell Torrent, Ramón},
journal = {Qüestiió},
keywords = {Análisis de datos; Análisis multivariante; Análisis de componentes principales; principal components analysis; local analysis; partial analysis; semi-metric; singular value decomposition},
language = {eng},
number = {3},
pages = {267-278},
title = {Local Principal Components Analysis.},
url = {http://eudml.org/doc/40335},
volume = {15},
year = {1991},
}

TY - JOUR
AU - Aluja Banet, Tomàs.
AU - Nonell Torrent, Ramón
TI - Local Principal Components Analysis.
JO - Qüestiió
PY - 1991
VL - 15
IS - 3
SP - 267
EP - 278
AB - Principal Components Analysis deals mainly with the analysis of large data sets with multivariate structure in an observational context for exploraty purposes. The factorial planes produced will show the main oppositions between variables and individuals. However, we may be interested in going further by controlling the effect of some latent or third variable which expresses some well-defined phenomenon. We go through this by means of a graph among individuals, following the same idea of instrumental variables as Rao, or partial correlation analysis. We call such analysis Local Principal Components Analysis, which consists of defining a semi-metric upon the variable spaces. Finally, we illustrate this with an example.
LA - eng
KW - Análisis de datos; Análisis multivariante; Análisis de componentes principales; principal components analysis; local analysis; partial analysis; semi-metric; singular value decomposition
UR - http://eudml.org/doc/40335
ER -

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