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| Theil Segregation Index× | Lorenz Curve× | |
|---|---|---|
| Field | Sociology | Sociology |
| Family | Process / pipeline | Process / pipeline |
| Year of origin≠ | 1971 | 1905 |
| Originator≠ | Henri Theil & Anthony Finizza | Max Otto Lorenz |
| Type≠ | Entropy-based multigroup segregation index | Graphical representation of distributional inequality |
| Seminal source≠ | Theil, H., & Finizza, A. J. (1971). A note on the measurement of racial integration of schools by means of informational concepts. Journal of Mathematical Sociology, 1(2), 187–193. DOI ↗ | Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗ |
| Aliases≠ | Theil's H, information theory index, entropy segregation index, multigroup entropy index | Lorenz concentration curve, Lorenz diagram, cumulative share curve |
| Related | 5 | 5 |
| Summary≠ | Theil's information index, denoted H, is an entropy-based measure of segregation that, unlike the two-group dissimilarity index, handles any number of groups at once. It compares the diversity (entropy) found within each unit to the diversity of the whole population: segregation is high when units are internally homogeneous even though the overall population is diverse. Its defining virtue is exact decomposability across nested levels and across groups. | The Lorenz curve is a graphical device that displays the full shape of inequality in a distribution by plotting the cumulative share of a quantity (such as income) held by the cumulative share of the population, ranked from poorest to richest. Introduced by Max Lorenz in 1905, it underlies the Gini coefficient and provides the basis for ranking distributions by inequality when one curve lies entirely above another. |
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