<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The article deals with the problem of the dispersion of ordinal variables. At first, it specifies the very concept of dispersion for this type of scale. Then some of the most known measures that fit to the concept of ordinal variation are recalled. They are constructed with two different types of statistical models: using loss functions and using distance functions. Finally, a new approach, which is the use of an axiomatic method for the construction of a dispersion measure, is proposed. Some relations and comparisons between different measures and between different approaches are shown.</p></abstract>

The article deals with the problem of the dispersion of ordinal variables. At first, it specifies the very concept of dispersion for this type of scale. Then some of the most known measures that fit to the concept of ordinal variation are recalled. They are constructed with two different types of statistical models: using loss functions and using distance functions. Finally, a new approach, which is the use of an axiomatic method for the construction of a dispersion measure, is proposed. Some relations and comparisons between different measures and between different approaches are shown.

AXIOMATIC DETERMINATION OF A CLASS OF ORDINAL VARIATION MEASURES

Studies in Logic, Grammar and Rhetoric

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

{"article-title":"AXIOMATIC DETERMINATION OF A CLASS OF ORDINAL VARIATION MEASURES"}

The article deals with the problem of the dispersion of ordinal variables. At first, it specifies the very concept of dispersion for this type of scale. Then...

AXIOMATIC DETERMINATION OF A CLASS OF ORDINAL VARIATION MEASURES

Published Online: Oct 31, 2017

Page range: 45 - 65

DOI: https://doi.org/10.1515/slgr-2017-0018

Keywords
descriptive statistics, ordinal variables, ordinal variation, dispersion measures, axiomatic method

© Studies in Logic, Grammar and Rhetoric

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

AXIOMATIC DETERMINATION OF A CLASS OF ORDINAL VARIATION MEASURES

Published Online: Oct 31, 2017

Page range: 45 - 65

DOI: https://doi.org/10.1515/slgr-2017-0018

Keywordsdescriptive statistics, ordinal variables, ordinal variation, dispersion measures, axiomatic method

© Studies in Logic, Grammar and Rhetoric

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

Keywords
descriptive statistics, ordinal variables, ordinal variation, dispersion measures, axiomatic method