The invariance properties of the Mutual Information index of multigroup segregation

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dc.contributor.author Mora, Ricardo
dc.contributor.author Ruiz-Castillo, Javier
dc.contributor.editor Universidad Carlos III de Madrid. Departamento de Economía
dc.date.accessioned 2007-11-09T13:38:04Z
dc.date.available 2007-11-09T13:38:04Z
dc.date.issued 2007-11
dc.identifier.issn 2340-5031
dc.identifier.uri http://hdl.handle.net/10016/1086
dc.description.abstract In the context of educational segregation by ethnic group, it has been argued that rigorous pair wise segregation comparisons over time or across space should be invariant in two situations: when the ethnic composition of the population changes while the distribution of each ethnic group over the schools remains constant (invariance 1), or when the size distribution of schools changes while the ethnic composition of each school remains constant (invariance 2). This paper makes three contributions to this literature. First, it presents a testing strategy for choosing between the two properties. Second, it argues that both properties have strong implications, and that there are reasons to defend that the overall segregation index need not satisfy either one. In particular, the contrast between invariant segregation indices and the Mutual Information segregation index that violates both properties is illustrated with a number of examples. Third, nevertheless, it is shown that pair wise segregation comparisons using this index can be expressed in terms of (i) changes in the ethnic composition of the population, (ii) changes in the school size distribution, and (iii) changes in a third term that is invariant 1 or invariant 2. These decompositions can be used to reach the analogous ones obtained in Deutsch et al. (2006).
dc.format.mimetype text/plain
dc.format.mimetype application/pdf
dc.language.iso eng
dc.relation.ispartofseries UC3M Working papers. Economics
dc.relation.ispartofseries 07-44
dc.relation.hasversion http://hdl.handle.net/10016/4716
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Gender segregation measurement
dc.subject.other Axiomatic properties
dc.subject.other Econometric models
dc.title The invariance properties of the Mutual Information index of multigroup segregation
dc.type workingPaper
dc.subject.jel J16
dc.subject.jel J24
dc.subject.eciencia Economía
dc.rights.accessRights openAccess
dc.type.version submitedVersion
dc.identifier.repec we077544
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