It's the Theil index https://en.wikipedia.org/wiki/Theil_index https://en.wikipedia.org/wiki/Theil_index I am not an expert in its use, but IMHO, it's BS becau

It's the Theil index https://en.wikipedia.org/wiki/Theil_index https://en.wikipedia.org/wiki/Theil_index I am not an expert in its use, but IMHO, it's BS because it's dependent on the idea that you have maximum diversity if various subgroups are all the same size, but it's very dependent on the definition of subgroups. For example, in the case of ethnic diversity, the measure will vary significantly depending on whether you group people from Southeast Asia and people from the Indian subcontinent together as "Asian" or not, or any other subjective subdivision. It might have use as a comparative measure with a predetermined set of classification groups, but you can definitely manipulate your conditions to construct different outcomes.