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Index of Dissimilarity×Lorenz Curve×
FieldSociologySociology
FamilyProcess / pipelineProcess / pipeline
Year of origin19551905
OriginatorOtis Dudley Duncan & Beverly DuncanMax Otto Lorenz
TypeIndex of evenness of two groups across unitsGraphical representation of distributional inequality
Seminal sourceDuncan, 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 ↗
Aliasesdissimilarity index, Duncan index, D index, segregation indexLorenz concentration curve, Lorenz diagram, cumulative share curve
Related55
SummaryThe 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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ScholarGateCompare methods: Index of Dissimilarity · Lorenz Curve. Retrieved 2026-06-24 from https://scholargate.app/en/compare