Generalized Canonical Correlation Analysis with Linear Constraints

  • Haruo Yanai
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


A method is introduced by imposing linear constraints upon parameters corresponding to more than two sets of variables. We call the method introduced here ‘generalized canonical correlation analysis with linear constraint’. It covers canonical correlation analysis with linear constraints proposed by Yanai & Takane (1992) as its special case. Further, by employing dummy variables, our method turns out to be identical to the multiple correspondence analysis with linear constraints.


Weight Vector Linear Constraint Canonical Correlation Canonical Correlation Analysis Multiple Correspondence Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Yanai,H. Takane,Y. (1992): Canonical correlation analysis with linear constraints, Linear Algebra 8 its Applications, 176, 75–89MathSciNetMATHCrossRefGoogle Scholar
  2. Bokenholt, U. Bockenholt,I. (1990): Canonical analysis of contingency tables with linear constraints, Psychometrika, 55, 633–639Google Scholar
  3. Lebart, L. Morineau, A.K. Warwick, M.(1984): Multivariate Descriptive Statistical Analysis, John Wiley Sons, New YorkMATHGoogle Scholar
  4. Rao,C.R. Yanai,H. (1979): General definition of a projector, its decomposition and application to statistical problems, J. of Statistical Planning and Inference, 3, 1–17MathSciNetMATHCrossRefGoogle Scholar
  5. Rao, C.R. (1973): Linear Statistical Inferences and its Applications (second Edition), John Wiley Sons, New YorkCrossRefGoogle Scholar
  6. Hayashi,C. (1952): On the prediction of phenomena from qualitative data from the mathematico-statistical point of view, Annals of the Institute of Statistical Mathematics, 3, 69–96MATHCrossRefGoogle Scholar

Copyright information

© Springer Japan 1998

Authors and Affiliations

  • Haruo Yanai
    • 1
  1. 1.Research DivisionNational Center for University Entrance ExaminationMeguro-ku, Tokyo 153Japan

Personalised recommendations