Procrustes analysis applied to variables selection

In exploratory multivariate research aiming at the reduction of the, dimension of the variables set, the most frequently used method is the analysis of the principal components. All original variables are generally necessary to define the subset of variables. Krzanowski (1987) has provided a methodo...

ver descrição completa

Detalhes bibliográficos
Autores: Guedes, Terezinha Aparecida, Ivanqui, Ivan Ludgero
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:Brasil
Recursos:Universidade Estadual de Maringá (UEM)
Repositorio:Acta scientiarum. Technology (Online)
Idioma:portugués
OAI Identifier:oai:periodicos.uem.br/ojs:article/3073
Acesso em linha:http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3073
Access Level:acceso abierto
Palavra-chave:componentes principais
análise procrustes
análise multivariada
1.02.02.00-5 Estatística
Descrição
Resumo:In exploratory multivariate research aiming at the reduction of the, dimension of the variables set, the most frequently used method is the analysis of the principal components. All original variables are generally necessary to define the subset of variables. Krzanowski (1987) has provided a methodology which combines the principal component analysis and the procrustes analysis to determine how much the new subset of variables reproduces the structure of original variables. Steiner (1995) used several methods to separate groups and select the variables in a medical case study. In the present work, the procrustes analysis was applied to a set of data randomly generated according to the variables distributions defined by Steiner. The objective was to verify if the subset of variables resultant from the analysis reproduces the original structure of data. The: results led to the conclusion that the procrustes method is a necessary tool for variables selection in multivariate analysis.