On Correspondence Analysis of Incomplete Orderings

Pärna, Kalev

doi:10.1007/978-3-642-18991-3_38

Kalev Pärna⁷

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

822 Accesses

Abstract

Correspondence analysis (CA) is a method for graphical presentation of two-way data tables. We consider the following problem: how can CA be applied in a particular case when the data consists of incomplete orderings. As an example of this kind of data we refer to a contest where each member of the jury allocates ranks 1,2, …, k only to k “best” candidates (out of n). In order to apply CA for such data a restricted iterative proportional fitting procedure is proposed to modify the initial table of ranks by imputing nonzero numbers to cells that were not among the k best cells. We demonstrate the work of the method via a practical example.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 129.00; Price excludes VAT (USA)

Softcover Book: USD 169.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

BEH, E.J. (1999): Correspondence analysis of ranked data. Commun. Statist.-Theory Meth., 28, 1511–1533.
Article MathSciNet MATH Google Scholar
de LEEUW, J. and van der HEIJDEN, P.G.M. (1988): Correspondence Analysis of Incomplete Contingency Tables. Psychometrika, 53, 223–233.
Article MathSciNet MATH Google Scholar
GREENACRE, M.J. (1984): Theory and Applications of Correspondence Analysis. Academic Press.
Google Scholar
GREENACRE, M. and HASTIE, T. (1987): The geometric interpretation of correspondence analysis. Journal of American Statistical Association, 82, 437–447.
Article MathSciNet MATH Google Scholar
ROBERTS, J. M., Jr. (1996): Alternative approaches to correspondence analysis of sociomatrices. Journal of Mathematical Sociology, 21, 359–368.
Article MATH Google Scholar
van der HEIJDEN, P.G.M. and de LEEUW, J. (1985): Correspondence analysis used complimentary to loglinear analysis. Psychometrika, 50, 429–447.
Article MathSciNet MATH Google Scholar

Download references

Author information

Authors and Affiliations

Institute of Mathematical Statistics, University of Tartu, EE-50409, Tartu, Estonia
Kalev Pärna

Authors

Kalev Pärna
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Department of Information Systems, University of Mannheim, Schloss, 68131, Mannheim, Germany
Martin Schader
Institute of Decision Theory, University of Karlsruhe, Kaiserstr. 12, 76128, Karlsruhe, Germany
Wolfgang Gaul
Department of Statistics, University of Rome, Piazzale Aldo Moro, 00185, Rome, Italy
Maurizio Vichi

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Pärna, K. (2003). On Correspondence Analysis of Incomplete Orderings. In: Schader, M., Gaul, W., Vichi, M. (eds) Between Data Science and Applied Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18991-3_38

Download citation

DOI: https://doi.org/10.1007/978-3-642-18991-3_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40354-8
Online ISBN: 978-3-642-18991-3
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics