Abstract
In [1993], pp. 44–45 the distance measure was proposed, which can be used for the ordinal data. In the paper the proposal of the general distance measure is given. This measure can be used for data measured in ratio, interval and ordinal scale. The proposal is based on the idea of the generalised correlation coefficient.
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References
BRANDT, S. (1998): Analiza danych. Metody statystyczne i obliczeniowe, PWN, Warszawa [Brandt, S. (1997): Statistical and Computational Methods in Data Analysis, Springer-Verlag, New York].
GORDON, A. D. (1999): Classification. Chapman & Hall, London.
JAJUGA, K. and WALESIAK, M. (2000): Standardisation of Data Set Under Different Measurement Scales. In: Decker, R. and Gaul, W. (Eds.): Classification and Information Processing at the Turn of the Millennium. Springer-Verlag, Berlin, Heidelberg, 105–112.
KENDALL, M. G. (1955): Rank Correlation Methods. Griffin, London.
KENDALL, M. G. and BUCKLAND, W. R. (1986): Slownik terminów statystycznych (A Dictionary of Statistical Terms). PWE, Warszawa.
MILLIGAN, G. W. (1989): A Validation Study of a Variable Weighting Algorithm for Cluster Analysis. Journal of Classification, No. 1, 53–71.
STEVENS, S. S. (1959): Measurement, Psychophysics and Utility. In: Churchman, C.W. and Ratooch, P. (Eds.): Measurement. Definitions and Theories. Wiley, New York, 18–63.
WALESIAK, M. (1993): Statystyczna analiza wielowymiarowa w badaniach marketingowych [Multivariate Statistical Analysis in Marketing Research]. Wroclaw University of Economics, Research Papers no. 654.
WALESIAK, M. (1999): Distance Measure for Ordinal Data. Argumenta Oeconomica. No 2 (8), 167–173.
WALESIAK, M. (2000): Propozycja uogólnionej miary odleglosci w statystycznej analizie wielowymiarowej [The Proposal of the Generalised Distance Measure in Multivariate Statistical Analysis]. In: Paradysz, J. (Ed.): Statystyka regionalna w sluzbie samorzadu lokalnego i biznesu. Wydawnictwo AE, Poznan (in press).
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Jajuga, K., Walesiak, M., Bak, A. (2003). On The General Distance Measure. In: Schwaiger, M., Opitz, O. (eds) Exploratory Data Analysis in Empirical Research. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55721-7_12
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DOI: https://doi.org/10.1007/978-3-642-55721-7_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44183-0
Online ISBN: 978-3-642-55721-7
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