Seven examples of overall segregation index computed using the Boltzmann/Shannon/Theil association measure, with expected values based on independence.

The subscript industry is abbreviated ind and overall is abbreviated all. For each scenario, the first row of values are the association measures, while the second row (in parentheses) are association measures divided by their respective values of . Note that scenario A provides the calculation of these maximum values. Summations in subscripts refer to aggregations/projections along one or more dimensions of each array. Furthermore, , which is the association measure of the aggregation/projection across the dimensions of industry and sex, i.e. all the dimensions other than race. Likewise, is the association measure after collapsing all dimensions other than sex.