# Local Principal Components Analysis.

Tomàs. Aluja Banet; Ramón Nonell Torrent

Qüestiió (1991)

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

## Access Full Article

top## Abstract

top## How to cite

topAluja 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.