Publication Type
Journal Article
Version
acceptedVersion
Publication Date
8-2007
Abstract
In this paper we develop a measure of polarization for discrete distributions of non-negative grouped data. The measure takes into account the relative sizes and homogeneities of individual groups as well as the heterogeneities between all pairs of groups. It is based on the assumption that the total polarization within the distribution can be understood as a function of the polarizations between all pairs of groups. The measure allows information on existing groups within a population to be used directly to determine the degree of polarization. Thus the impact of various classifi- cations on the degree of polarization can be analysed. The treatment of the distribution’s total polarization as a function of pairwise polarizations allows statements concerning the effect of an individual pair or an individual group on the total polarization.
Keywords
Income polarization, Income distribution
Discipline
Finance and Financial Management | Management Sciences and Quantitative Methods
Research Areas
Finance
Publication
AStA Advances in Statistical Analysis
Volume
91
Issue
2
First Page
181
Last Page
196
ISSN
1863-8171
Identifier
10.1007/s10182-007-0027-0
Publisher
Springer Verlag (Germany)
Citation
BOMSDORF, Eckart and OTTO, Clemens A..
A new approach to the measurement of polarization for grouped data. (2007). AStA Advances in Statistical Analysis. 91, (2), 181-196.
Available at: https://ink.library.smu.edu.sg/lkcsb_research/5376
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1007/s10182-007-0027-0
Included in
Finance and Financial Management Commons, Management Sciences and Quantitative Methods Commons