Semi-Partial Canonical Correlation Biplot

- Journal title : Korean Journal of Applied Statistics
- Volume 25, Issue 3, 2012, pp.521-529
- Publisher : The Korean Statistical Society
- DOI : 10.5351/KJAS.2012.25.3.521

Title & Authors

Semi-Partial Canonical Correlation Biplot

Lee, Bo-Hui; Choi, Yong-Seok; Shin, Sang-Min;

Lee, Bo-Hui; Choi, Yong-Seok; Shin, Sang-Min;

Abstract

Simple canonical correlation biplot is a graphical method to investigate two sets of variables and observations in simple canonical correlation analysis. If we consider the set of covariate variables that linearly affects two sets of variables, we can apply the partial canonical correlation biplot in partial canonical correlation analysis that removes the linear effect of the set of covariate variables on two sets of variables. On the other hand, we consider the set of covariate variables that linearly affect one set of variables but not the other. In this case, if we apply the simple or partial canonical correlation biplot, we cannot clearly interpret other two sets of variables. Therefore, in this study, we will apply the semi-partial canonical correlation analysis of Timm (2002) and remove the linear effect of the set of covariate variables on one set of variables but not the other. And we suggest the semi-partial canonical correlation biplot for interpreting the semi-partial canonical correlation analysis. In addition, we will compare shapes and shape the variabilities of the simple, partial and semi-partial canonical correlation biplots using a procrustes analysis.

Keywords

Biplot;set of covariate variables;semi-partial canonical correlation analysis;Procrustes analysis;

Language

Korean

Cited by

1.

Analysis of Multivariate Phenotypes by Canonical Correlation Biplot in Genetic Association Study,Park, Mira;Yee, Jaeyong;Jin, Seohoon;

Journal of the Korean Data Analysis Society, 2014. vol.16. 6A, pp.2869-2875

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