I have unemployment rates for 3 regions (North, Center, South).
The unemployment rate is defined by (number of unemployed ($u$)/ active population ($pa$)). The unemployment rate by region ($r$) is $frac{u_r}{pa_r}$.
Data: $u_{north} = 0.07, u_{center} = 0.04, u_{south} = 0.08$
How to measure diversity/dispersion/inequality of unemployment by region, knowing that the only known data are those employment rates. Note: the sum of the rates $neq 1$.
Best Answer
Hm. Are you looking to measure the diversity of each region? Or the diversity across the regions? If the former, I think you would need more than these three data points. If the latter, you could use a diversity index: https://en.wikipedia.org/wiki/Diversity_index
For example, assuming equal populations, the Simpson index (in economics, HHI) would be 0.0129.
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