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Table 1 Summary of major methods for measuring inequality [916]

From: Urban health indicators and indices—current status

Measure

Definition

Ratio

The quotient of rates or values

Difference

The difference of rates or values

Effect index

A regression slope

Population Attributable Risk

A given rate compared to some baseline rate

Index of dissimilarity

Percent of cases that would have to be redistributed to have the same rate for all SES groups

Slope Index of Inequality

Slope of the regression line of a health measure against rank ordered SES category

Relative Index of Inequality

Slope Index of Inequality divided either by the mean or the highest level of the health measure

Lorenz Curve

Cumulative proportion of the population plotted against cumulative proportion of a health variable; the 45o line represents uniform distribution

Gini Coefficient

Twice the area between the empirical Lorenz curve and its diagonal, a summary measure of deviation that corresponds to the amount of inequality

Concentration Curve and Concentration Index

Similar to Lorenz curve and Gini coefficient, but health variable is plotted against ordered socioeconomic status

Relative Distribution Measures

A more general class of measures that permits direct comparison of two distributions

Symmetrized Renyi Index

A measure based on entropy that is invariant with respect to a reference group and that permits judgment-weighting based on the perceived importance of disparities

  1. The references cited in the Table heading include several summary articles on these measures, and an extensive discussion of Relative Distribution Measures