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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Maura Vásquez & Guillermo Ramírez & Alberto Camardiel & Tomás Aluja, 2008. "A Biplot graphical tool to model the relationships between two sets of variables," Economía, Instituto de Investigaciones Económicas y Sociales (IIES). Facultad de Ciencias Económicas y Sociales. Universidad de Los Andes. Mérida, Venezuela, vol. 33(25), pages 117-130, january-j.
    • Handle: RePEc:ula:econom:v:33:y:2008:i:25:p:117-130
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    References listed on IDEAS

    as
    1. Michael Greenacre, 2008. "Correspondence analysis of raw data," Economics Working Papers 1112, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 2009.
    2. Cajo Braak, 1990. "Interpreting canonical correlation analysis through biplots of structure correlations and weights," Psychometrika, Springer;The Psychometric Society, vol. 55(3), pages 519-531, September.
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    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General

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