Correspondence analysis
The correspondence analysis , even simple correspondence analysis abbreviated, CA ( correspondence analysis ) is a multivariate statistical technique , with the relations between the variables of a contingency table are represented graphically. The column and row profiles of a matrix are represented by points in a space, the coordinate axes of which are formed by the respective features . It is also known as principal component analysis with categorical data.
The Canonical Correspondence Analysis (CCA) is an extension of the CA by Ter Braak . The derived ordination axes are linear combinations of the environmental variables , which are generated using a multiple linear regression model.
application areas
Correspondence analysis was made popular in empirical social research largely through Pierre Bourdieu's study “ The Subtle Differences ”. Correspondence analysis is also widespread in market research . In archeology , it can be used to organize tables that record the combination of types in closed finds . According to such an order - also known as seriation - the types and find complexes often show a chronological sequence.
Individual evidence
- ↑ Ilona Leyer, Karsten Wesche: Multivariate Statistics in Ecology: An Introduction , 1st, Edition 2007. Corr. Reprint. Edition, Springer, Berlin, June 2009, ISBN 3540377050 , p. 91.
literature
- Jörg Blasius: Correspondence Analysis . Oldenbourg, Munich & Vienna 2001, ISBN 3-486-25730-7 .
- Jörg Blasius: Correspondence Analysis - A multivariate method for analyzing qualitative data . (PDF; 1.3 MB) In: Historical Social Research . Vol. 12, No. 2/3, pp. 172-189, 1987, doi : 10.12759 / hsr.12.1987.2 / 3.172-189 .
- MJ Greenacre: Theory and Application of Correspondence Analysis. Academic, London 1984, ISBN 0-12-299050-1 .
- Peter Ihm : Correspondence Analysis and Seriation. Arch. Inf. 6 , 1983, 8-21, doi : 10.11588 / ai.1983.1.27644 .
- J. Müller, A. Zimmermann (Ed.): Archeology and Correspondence Analysis: Examples, Questions, Perspectives. Boarding school Arch. 23. Espelkamp 1997, ISBN 3-924734-41-0 .
- Frank Siegmund : How to perform a correspondence analysis. A short guide to archaeological practice. Self-published. 2015. ISBN 978-1-5153-5347-8 .
Web links
- Uwe Mortensen: Introduction to Correspondence Analysis (script, Westfälische Wilhelms-Universität Münster, 52 p .; PDF; 647 kB)