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| Isolation Index× | Index of Dissimilarity× | Lorenz Curve× | |
|---|---|---|---|
| Πεδίο | Sociology | Sociology | Sociology |
| Οικογένεια | Process / pipeline | Process / pipeline | Process / pipeline |
| Έτος προέλευσης≠ | 1954 | 1955 | 1905 |
| Δημιουργός≠ | Wendell Bell (formalization of P* indices) | Otis Dudley Duncan & Beverly Duncan | Max Otto Lorenz |
| Τύπος≠ | Exposure-dimension segregation index | Index of evenness of two groups across units | Graphical representation of distributional inequality |
| Θεμελιώδης πηγή≠ | Bell, W. (1954). A probability model for the measurement of ecological segregation. Social Forces, 32(4), 357–364. DOI ↗ | Duncan, O. D., & Duncan, B. (1955). A methodological analysis of segregation indexes. American Sociological Review, 20(2), 210–217. DOI ↗ | Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | P* isolation index, interaction index, exposure index, Bell isolation index | dissimilarity index, Duncan index, D index, segregation index | Lorenz concentration curve, Lorenz diagram, cumulative share curve |
| Συναφείς | 5 | 5 | 5 |
| Σύνοψη≠ | The isolation index measures the exposure dimension of segregation: the extent to which members of a minority group are exposed only to one another rather than to members of other groups. It answers the question 'what is the own-group share of the typical neighbor (or classmate, or coworker) that a member of the focal group encounters?' Unlike evenness measures, it depends on the relative size of the group as well as its spatial distribution. | The index of dissimilarity, often called the Duncan segregation index, measures how unevenly two groups — such as two racial or occupational groups — are distributed across a set of units like neighborhoods, schools, or occupations. It ranges from 0, when both groups have identical distributions across units, to 1, when the units are completely segregated, and has the intuitive interpretation of the share of one group that would have to relocate to achieve an even distribution. | 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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