On the Use of Selected Ordination Techniques to Analyze the Parliamentary Election Results

Małgorzata Misztal

doi:10.18778/0208-6018.322.11

Authors

Małgorzata Misztal University of Łódź, Department of Statistical Methods

DOI:

https://doi.org/10.18778/0208-6018.322.11

Keywords:

ordination techniques, redundancy analysis, parliamentary elections

Abstract

Ordination techniques such as CCA (Canonical Correspondence Analysis) or RDA (Redundancy Analysis) are very popular in ecological research but almost completely unknown in, for example, socio-economic research. The goal of this paper is to concisely organize the concepts and terminology associated with ordination and to present the possibilities of its application in social research with an example of the analysis of the 2015 parliamentary elections results.

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References

Calow P. (red.) (1999), Blackwell’s Concise Encyclopedia of Ecology, Blackwell Science, London.

Everitt B.S., Skrondal A. (2010), The Cambridge Dictionary of Statistics, Fourth Edition, Cambridge University Press, Cambridge.

Gauch H.G., Jr. (1982), Noise reduction by eigenvalue ordinations, “Ecology”, vol. 63, pp. 1643–1649.

Goodall D.W. (1954), Objective methods for the classification of vegetation. III. An essay in the use of factor analysis, “Australian Journal of Botany”, vol. 2, pp. 304–324.

Gower J.C. (1984), Ordination, multidimensional scaling and allied topics, (in:) W. Lederman [ed.] “Handbook of Applicable Mathematics”, vol. VI: E. Lloyd (ed.) “Statistics”, Wiley, Chichester, pp. 727–781.

Greenacre M. (2007), Correspondence Analysis in Practice, 2ed., Chapman & Hall/CRC, Taylor & Francis Group, Boca Raton.

Hill M.O., Gauch H.G. (1980), Detrended correspondence analysis: an improved ordination technique, “Vegetatio”, vol. 42, pp. 47–58.

Hotelling H. (1933), Analysis of a complex of statistical variables into principal components, “Journal of Educational Psychology”, vol. 24, pp. 417–441, 498–520.

Jongman R.H.G., ter Braak C.J.F., van Tongeren O.F.R. (ed.) (1995), Data Analysis in Community and Landscape Ecology, Cambridge University Press, Cambridge.

Legendre P., Legendre L. (1998), Numerical Ecology, Elsevier Science B.V., Amsterdam.

Lepš J., Šmilauer P. (2003), Multivariate Analysis of Ecological Data using CANOCO, Cambridge University Press, Cambridge.

Państwowa Komisja Wyborcza: Wyniki wyborów do Sejmu RP z dnia 25 października 2015, Internet site:http://parlament2015.pkw.gov.pl, access: 15.11.2015.

Pearson K. (1901), On lines and planes of closest fit to systems of points in space, “Philosophical Magazine”, Ser. 6, vol. 2, pp. 559–572.

Rao C.R. (1964), The Use and Interpretation of Principal Component Analysis in Applied Research, “Sankhyā: The Indian Journal of Statistics”, Series A (1961–2002), vol. 26, no. 4 (Dec., 1964), pp. 329–358.

Regiony Polski (2015), GUS, Warszawa.

ter Braak C.J.F. (1986), Canonical correspondence analysis: a new eigenvector technique for multivariate direct gradient analysis, “Ecology”, vol. 67(5), pp. 1167–1179.

ter Braak C.J.F. (1994), Canonical community ordination. Part I: Basic theory and linear methods, “Ecoscience”, vol. 2, pp. 127–140.

ter Braak C.J.F., Prentice I.C. (1988), A theory of gradient analysis, “Advances in Ecological Research”, vol. 18, pp. 271–317.

van den Wollenberg A.L. (1977), Redundancy analysis. An alternative for canonical correlation analysis, “Psychometrika”, vol. 42, no. 2, pp. 207–219.