In this paper a statistical interpretation of a recent measure, called “Rankbased Concordance Index” (RCI), in terms of monotonic dependence relationship between a non-negative dependent variable and a quantitative independent one is provided. Due to its rank-based construction, the measure presents properties and features that make it suitable also in an ordinal context of analysis. In applied research many data sets contain observations from ordinal variables rather than continuous ones. In such situations, the study of dependence relationship among variables represents an interesting issue, since ordinal variables are not specified according to a metric scale. The proposal discussed here can thus contribute to solve this problem.

The RCI as a measure of monotonic dependence / E. Raffinetti, P.A. Ferrari (STUDIES IN CLASSIFICATION, DATA ANALYSIS, AND KNOWLEDGE ORGANIZATION). - In: Analysis and Modeling of Complex Data in Behavioral and Social Sciences / [a cura di] D. Vicari, A. Okada, G. Ragozini, C. Weihs. - [s.l] : Springer, 2014 Jun 17. - ISBN 9783319066912. - pp. 231-242 [10.1007/978-3-319-06692-9_25]

The RCI as a measure of monotonic dependence

E. Raffinetti
;
P.A. Ferrari
Ultimo
2014

Abstract

In this paper a statistical interpretation of a recent measure, called “Rankbased Concordance Index” (RCI), in terms of monotonic dependence relationship between a non-negative dependent variable and a quantitative independent one is provided. Due to its rank-based construction, the measure presents properties and features that make it suitable also in an ordinal context of analysis. In applied research many data sets contain observations from ordinal variables rather than continuous ones. In such situations, the study of dependence relationship among variables represents an interesting issue, since ordinal variables are not specified according to a metric scale. The proposal discussed here can thus contribute to solve this problem.
Concordance curve; Dependence relationship; Ordinal covariates
Settore SECS-S/01 - Statistica
17-giu-2014
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/241245
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