<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The aim of this paper is to apply a general methodology for constructing statistical methods, which is based on decision theory, to give a statistical description of preferential rankings, with a focus on the rankings’ dependence on categorical variables. In the paper, I use functions of description errors that are based on the Kemeny and Hamming distances between preferential orderings, but the proposed methodology can also be applied to other methods of estimating description errors.</p></abstract>

The aim of this paper is to apply a general methodology for constructing statistical methods, which is based on decision theory, to give a statistical description of preferential rankings, with a focus on the rankings’ dependence on categorical variables. In the paper, I use functions of description errors that are based on the Kemeny and Hamming distances between preferential orderings, but the proposed methodology can also be applied to other methods of estimating description errors.

TWO MEASURES OF THE DEPENDENCE OF PREFERENTIAL RANKINGS ON CATEGORICAL VARIABLES

Studies in Logic, Grammar and Rhetoric

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"TWO MEASURES OF THE DEPENDENCE OF PREFERENTIAL RANKINGS ON CATEGORICAL VARIABLES"}

The aim of this paper is to apply a general methodology for constructing statistical methods, which is based on decision theory, to give a statistical...

TWO MEASURES OF THE DEPENDENCE OF PREFERENTIAL RANKINGS ON CATEGORICAL VARIABLES

Publié en ligne: 31 oct. 2017

Pages: 25 - 44

DOI: https://doi.org/10.1515/slgr-2017-0017

Mots clés
decision theory, individual preferential ordering (ranking), group (social) preferential ordering (ranking), Kemeny distance, Hamming distance, generalized regression, measure of the intensity of a dependence, computational complexity

© Studies in Logic, Grammar and Rhetoric

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

TWO MEASURES OF THE DEPENDENCE OF PREFERENTIAL RANKINGS ON CATEGORICAL VARIABLES

Publié en ligne: 31 oct. 2017

Pages: 25 - 44

DOI: https://doi.org/10.1515/slgr-2017-0017

Mots clésdecision theory, individual preferential ordering (ranking), group (social) preferential ordering (ranking), Kemeny distance, Hamming distance, generalized regression, measure of the intensity of a dependence, computational complexity

© Studies in Logic, Grammar and Rhetoric

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
decision theory, individual preferential ordering (ranking), group (social) preferential ordering (ranking), Kemeny distance, Hamming distance, generalized regression, measure of the intensity of a dependence, computational complexity