We aim to propose a new measure of the distance to evaluate the dissimilarity between rankings in a hierarchical cluster analysis to segment subjects expressing their preferences by rankings. The proposed index builds upon the Spearman grade correlation coefficient on a transformation of the ordinal variables that describes the rankings of the subjects, calculated by the copula function. In particular by using the copula functions with tail dependence we employ an index particular suitable to emphasizing the agreement on top ranks, when the top ranks are considered more important than the lower ones. We evaluate the performance of our proposal by an illustrative example on selected rankings, showing that the resulting groups contain subjects whose preferences are more similar on the most important, or top, ranks.

Bonanomi, A., Nai Ruscone, M., Osmetti, S. A., Defining the subjects distance in hierarchical cluster analysis by copula approach, in Mola, F., Conversano, C. (ed.), BOOK OF ABSTRACTS, CUEC Editrice by Sardinia Novamedia, Cagliari 2016: 582- 587 [http://hdl.handle.net/10807/76095]

Defining the subjects distance in hierarchical cluster analysis by copula approach

Bonanomi, Andrea
Primo
;
Nai Ruscone, Marta
Secondo
;
Osmetti, Silvia Angela
Ultimo
2016

Abstract

We aim to propose a new measure of the distance to evaluate the dissimilarity between rankings in a hierarchical cluster analysis to segment subjects expressing their preferences by rankings. The proposed index builds upon the Spearman grade correlation coefficient on a transformation of the ordinal variables that describes the rankings of the subjects, calculated by the copula function. In particular by using the copula functions with tail dependence we employ an index particular suitable to emphasizing the agreement on top ranks, when the top ranks are considered more important than the lower ones. We evaluate the performance of our proposal by an illustrative example on selected rankings, showing that the resulting groups contain subjects whose preferences are more similar on the most important, or top, ranks.
Inglese
BOOK OF ABSTRACTS
978 88 8467 949 9
CUEC Editrice by Sardinia Novamedia
Bonanomi, A., Nai Ruscone, M., Osmetti, S. A., Defining the subjects distance in hierarchical cluster analysis by copula approach, in Mola, F., Conversano, C. (ed.), BOOK OF ABSTRACTS, CUEC Editrice by Sardinia Novamedia, Cagliari 2016: 582- 587 [http://hdl.handle.net/10807/76095]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/76095
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