Computing decomposable multigroup indexes of segregation

Daniel Guinea-Martin
Authors registered in the RePEc Author Service: Ricardo Mora Villarrubia

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

Abstract: There are eight multigroup segregation indices that are decompos- able into a between and a within term. They are two versions of (a) the mutual information, (b) the symmetric Atkinson, (c) the relative diversity, and (d) the Theil's H index. 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; (2) providing the weights and local indices employed in the computation of the within term; (3) facilitating the deployment of the decomposability properties of the eight indices 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 public schools in the United States to illustrate the use of dseg. The subject topic is school racial segregation.

Keywords: Atkinson; Decomposability; Multigroup; Mutual; Information; Race; Relative; Diversity; Theil'S; H; Schools; Segregation (search for similar items in EconPapers)
Date: 2021-01-27
New Economics Papers: this item is included in nep-ure
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Journal Article: Computing decomposable multigroup indices of segregation (2022)
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Persistent link: https://EconPapers.repec.org/RePEc:cte:werepe:31803

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