Canonical Correlation

A. Basu, Abhijit Mandal

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Scopus citations

Abstract

The canonical correlation technique is a simple and useful method to describe the correlation structure between two sets of variables. It is a generalization of the concept of multiple correlation and successively maximizes the correlation between appropriate pairs of linear combinations of the variables of the two sets. The method can be viewed as a dimension reduction technique in that it represents the correlation structure between two sets of variables in terms of a smaller number of canonical correlations. In this article, we give a basic description of the canonical correlations technique and illustrate it with an application.

Original languageEnglish (US)
Title of host publicationInternational Encyclopedia of Education
PublisherElsevier Ltd
Pages52-57
Number of pages6
ISBN (Print)9780080448947
DOIs
StatePublished - Dec 1 2010

Keywords

  • Canonical variables
  • Correlation
  • Correlation coefficient
  • Dimension reduction
  • Eigen vectors
  • Eigenvalues
  • Linear combination
  • Multiple correlation
  • Multivariate analysis

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