手法を比較

	Theil Segregation Index	Lorenz Curve
分野	Sociology	Sociology
系統	Process / pipeline	Process / pipeline
提唱年	1971	1905
提唱者	Henri Theil & Anthony Finizza	Max Otto Lorenz
種類	Entropy-based multigroup segregation index	Graphical representation of distributional inequality
原典	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.	Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219.
別名	Theil's H, information theory index, entropy segregation index, multigroup entropy index	Lorenz concentration curve, Lorenz diagram, cumulative share curve
関連	5	5
概要	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.