I am looking for an inequality indicator that can be derived from the distribution of a population in five discrete poverty classes derived from the Latin American NBI (Necesidades Basicas Insatisfechas) methodology. The methodology ascribes each household of a locality (urban or rural) a "NBI index" in function of income, housing, education, etc. and then ascribe it to one of five "poverty classes" , etc, which are "non-poor, poverty line, moderate poverty, indigent, marginal". I have only data on the number of households per class per locality, not the NBI index per household.
Socio-economic indicators such as income-distribution/Average purchasing power, Education Opportunities, Job opportunities, Access to Health Care, Access to Standard-Housing, Access to political Gains. may help to construct index to measure inequality at micro and macro levels.
A very important question for the development of a proper inequality index based on this data: is the "poverty line" defined at national level or at local level?
I suggest you should calculate gini, Theil L or Theil T indices base on population quintiles. Quintiles here refer to the different poverty classes
It seems to me that many of your questions should be phrased, "Is there....?" Maybe when you can't find what you're looking for, it may mean that it's not there? Do you know what you do then?
If you have the continuous scores of the NBI index you can run Gini of Theil If your discrete categories are quintiles, yo can also run one of these dispersion stats. Otherwise you can calculate the ratio of marginal households against non poor.
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