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Correspondence Analysis

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Encyclopedia of Social Network Analysis and Mining

Synonyms

Dual scaling; Hayashi’s quantification theory type III; Homogeneity analysis; Method of simultaneous linear regressions; Optimal scaling; Reciprocal averaging

Glossary

CA:

Correspondence analysis

Component:

A linear combination of the variables of a data table also called dimension or factor

Dimension:

See component

Factor:

See component

GSVD:

Generalized singular value decomposition

MCA:

Multiple correspondence analysis

PCA:

Principal component analysis

SVD:

Singular value decomposition

Definition

Correspondence analysis (CA) is a generalization of principal component analysis tailored to handle nominal variables. CA is traditionally used to analyze contingency tables, but is also often used with data matrices that comprise only non-negative data. CA decomposes the chi-square statistics associated to the data table into two sets of orthogonal components that describe, respectively, the pattern of associations between the elements of the rows and between the elements of the...

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Author information

Authors and Affiliations

  1. School of Behavioral and Brain Sciences, The University of Texas at Dallas, 800 West Campbell Road, MS: GR4.1, Richardson, TX, 75080-3021, USA

    Hervé Abdi

  2. Centre d’Étude et de Recherche en Informatique et Communications, Conservatoire National des Arts et Métiers, F-75141, 03 Cedex, Paris, France

    Michel Béra

Authors
  1. Hervé Abdi
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  2. Michel Béra
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Corresponding author

Correspondence to Hervé Abdi .

Editor information

Editors and Affiliations

  1. Computer Science, University of Calgary, Calgary, Alberta, Canada

    Reda Alhajj

  2. University of Calgary Computer Science, Calgary, Canada

    Jon Rokne

Section Editor information

  1. American University of Sharjah, Sharjah, United Arab Emirates

    Suheil Khoury

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Abdi, H., Béra, M. (2017). Correspondence Analysis. In: Alhajj, R., Rokne, J. (eds) Encyclopedia of Social Network Analysis and Mining. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7163-9_140-2

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  • DOI: https://doi.org/10.1007/978-1-4614-7163-9_140-2

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-7163-9

  • Online ISBN: 978-1-4614-7163-9

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Chapter history

  1. Latest

    Correspondence Analysis
    Published:
    23 September 2017

    DOI: https://doi.org/10.1007/978-1-4614-7163-9_140-2

  2. Original

    Correspondence Analysis
    Published:
    17 February 2017

    DOI: https://doi.org/10.1007/978-1-4614-7163-9_140-1

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