Multidimensional polarization for ordinal data View Full Text


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Article Info

DATE

2018-11-06

AUTHORS

Martyna Kobus, Radosław Kurek

ABSTRACT

The dominant approach to evaluating distributional features of ordinal variables (e.g. self-reported health status) has been the Allison-Foster bipolarization ordering (henceforth AF). It has not yet been extended to a multidimensional setting. Here we fill this gap. A multidimensional extension of the AF relation is characterized by a sequence of median-preserving spreads on each dimension and association-changing switches. This extension does not pay attention to the dimensions’ association. We then offer one that does and characterize it in terms of classes of polarization measures and welfare functions. Based on these two orderings we construct polarization indices and develop statistical inference for them. We measure bidimensional polarization in educational attainment and life satisfaction across OECD members. Dependence does not affect whether or not countries dominate each other bidimensionally. More... »

PAGES

1-17

Journal

TITLE

The Journal of Economic Inequality

ISSUE

N/A

VOLUME

N/A

Author Affiliations

From Grant

  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10888-018-9402-1

    DOI

    http://dx.doi.org/10.1007/s10888-018-9402-1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1108058886


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