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Computing decomposable multigroup indexes of segregation

Ricardo Mora Villarrubia () and Daniel Guinea-Martin

UC3M Working papers. Economics from Universidad Carlos III de Madrid. Departamento de Economía

Abstract: There are seven multigroup segregation indexes that are decomposable:the mutual information index, and two versions of the symmetric Atkinson, the relative diversity, and Theil's H indexes. In this article we present the Stata command dseg for obtaining all of them. It contributes to the stock of segregation commands in Stata by (1) implementing in a single call the decomposition of multigroup indexes into a between and a within term; (2) providing the weights and local indexes employed in the computation of the within term; (3) facilitating the deployment of the decomposability properties of the four indexes in complex scenarios that demand tailor-made solutions; and (4) leveraging sample data with bootstrapping and approximate randomization tests. We analyze 2017 census data of American public schools to illustrate the use of dseg. The subject topic is school racial segregation.

Keywords: Segregation; Schools; Sampling; Theil'S; H; Relative; Diversity; Race; Mutual; Information; Multigroup; Decomposability; Atkinson (search for similar items in EconPapers)
Date: 2021-01-27
New Economics Papers: this item is included in nep-ure
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