A Biplot graphical tool to model the relationships between two sets of variables

Maura Vásquez (), Guillermo Ramírez (), Alberto Camardiel () and Tomás Aluja ()
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Maura Vásquez: Postgrado en Estadística, Universidad Central de Venezuela (UCV)
Guillermo Ramírez: Postgrado en Estadística, Universidad Central de Venezuela (UCV)
Alberto Camardiel: Postgrado en Estadística, Universidad Central de Venezuela (UCV)
Tomás Aluja: Universidad Politécnica de Cataluña, España

Economía, 2008, vol. 33, issue 25, 117-130

Abstract: Multivariate multiple regression analysis is used to model the relationships between two sets of variables, the y-set of response variables and the x-set of explaining variables. In trying to have useful information about the nature of the relationships between the two sets, Ter Braak (1990) proposed a graphical display taken up again by Ramírez et al. (2005) in an independent way. In this paper, indexes of the quality approach are considered: a) those y variables better explained by x variables, b) clusters of y variables whose predictions are strongly correlated and c) subsets of x variables more correlated with a specific y variable. The graphical device considered is a generalized GH-Biplot (Gabriel, 1971) using latent variables generated by a canonical correlation analysis. The graphical display was used to analyze the Human Development Index corresponding to the 23 states of Venezuela related to several social and economic indicators.

Keywords: Biplot; canonical analysis; multivariate regression; human development. (search for similar items in EconPapers)
JEL-codes: C1 C10 (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:ula:econom:v:33:y:2008:i:25:p:117-130

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