Multidimensional polarization for ordinal data
Bibliographic Data
| ID | 12836611 |
|---|---|
| Authors | Martyna Kobus (0000-0003-2027-4693, Polish Academy of Sciences, corresponding author), Radosław Kurek (0000-0002-0875-8567, Polish Academy of Sciences) |
| Year | 2018 |
| Volume | 17 |
| Issue | 3 |
| Pages | 301-317 |
| Publication date | 2018-11-06 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | The Journal of Economic Inequality (JOURNAL) |
| Journal identifiers | ISSN: 1569-1721 • E-ISSN: 1573-8701 |
| Publisher | Springer Science+Business Media (PUBLISHER • DE) |
| DOI | 10.1007/s10888-018-9402-1 |
| OpenAlex | W569299428 |
| Language | IT |
| Citations received | 3 |
| References cited | 40 |
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
Ordinal data · Ordinal regression · Polarization (electrochemistry · Statistics · Chemistry · Child Nutrition and Water Access · Computer Science · Income, Poverty, and Inequality · Mathematics · Poverty, Education, and Child Welfare · Psychology
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| Unique citing works | 3 |
|---|---|
| Citations per year | 0,23 |
| Citation span | 2013 - 2026 (14) |
| Citation velocity | current |
| Highly cited | No |
| Citation types | Neutral: 3 |