wow-inequalities/03-documentation/measures.md

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# Measures
TODO:: separation of shares, inequality indices and ratios
**absolute** shows magnitude of difference between subgroups of pop -> focus on absolute welfare
**relative** shows proportional difference between subgroups of pop -> focus on welfare in relation to others
## Direction
### Vertical
Gini coeff, Theil, entropy measure, atkinson indexes
### Horizontal
mean differences between groups; ratios between better off/worse off
GGini; GTheil; GCOV
## All indicators
### Absolute
* quantiles (division by 5) / deciles (division by 10) / centiles (division by 100)
* Absolute Gini index
* ?
* Standard deviation
* deviations from norm in *absolute* terms
### Relative
* ratios of quantiles to each other (division of various quantiles)
* Gini coefficient:
* based Lorenz curve - population percentage versus accumulated fractions of wealth
* is area between lorenz curve and perfect equality
* needs: individual/household income/wealth; pop size
* Theil index:
* how much income distribution (person x receives y from total income) is away from perfect uniform distribution
* log -based
* can be disaggregated into subgroups
* Theil L > weighting factors are population groups; Theil T > weighting factors are fraction of appropriated income
* Atkinson measures:
* measures cumulative deviation of each income in relation to average income value in distribution
* Palma ratio:
* dividing share of income/wealth held by top 10% by bottom 40%, thus high = bad
* s80s20, s40s20 ratios:
* ?
* Concentration index:
* divide whole pop by 100 to find percentiles
* then you know how many ppl are in each group and add their total income
* Foster-Greer-Thorbecke-class distribution (@Sotomayor2021)