Generalized Canonical Correlation Analysis with Linear Constraints

Yanai, Haruo

doi:10.1007/978-4-431-65950-1_59

Haruo Yanai⁸

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

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Summary

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.

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References

Yanai,H. Takane,Y. (1992): Canonical correlation analysis with linear constraints, Linear Algebra 8 its Applications, 176, 75–89
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Bokenholt, U. Bockenholt,I. (1990): Canonical analysis of contingency tables with linear constraints, Psychometrika, 55, 633–639
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Lebart, L. Morineau, A.K. Warwick, M.(1984): Multivariate Descriptive Statistical Analysis, John Wiley Sons, New York
MATH Google Scholar
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, 1–17
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Rao, C.R. (1973): Linear Statistical Inferences and its Applications (second Edition), John Wiley Sons, New York
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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, 69–96
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Authors and Affiliations

Research Division, National Center for University Entrance Examination, 2-19-23 Komaba, Meguro-ku, Tokyo 153, Japan
Haruo Yanai

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Haruo Yanai
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Editors and Affiliations

The Institute of Statistical Mathematics, 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106, Japan
Chikio Hayashi , Noboru Ohsumi & Yasumasa Baba , &
School of Management, Science University of Tokyo, 500 Shimokiyoku, Kuki, Saitama 346, Japan
Keiji Yajima
Institut für Statistik, Rheinisch-Westfälische Technische Hochschule (RWTH), D-52056, Aachen, Germany
Hans-Hermann Bock
Faculty of Environmental Science & Technology, Okayama University, 2-1-1 Tsushima-naka, Okayama 700, Japan
Yutaka Tanaka

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Yanai, H. (1998). Generalized Canonical Correlation Analysis with Linear Constraints. In: Hayashi, C., Yajima, K., Bock, HH., Ohsumi, N., Tanaka, Y., Baba, Y. (eds) Data Science, Classification, and Related Methods. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Tokyo. https://doi.org/10.1007/978-4-431-65950-1_59

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DOI: https://doi.org/10.1007/978-4-431-65950-1_59
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-70208-5
Online ISBN: 978-4-431-65950-1
eBook Packages: Springer Book Archive

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