2. Measures of Multigroup Segregation
2. Measures of Multigroup Segregation
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2. 多群体隔离的措施
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
G. Firebaugh
中科院分区：
文献类型：
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作者：
Sean F. Reardon;G. Firebaugh
在本文中，我们推导和评估措施的多组隔离。在描述了四种方法来概念化多组隔离的测量-作为组中的非对称性（例如，种族）跨组织单位的比例（例如，学校或人口普查区），作为名义变量索引组和组织单位成员之间的关联强度，作为单位间多样性与总多样性的比率，以及作为两组隔离指数的加权平均值，我们得出六个多组隔离指数：相异性指数（D）、基尼指数（G）、信息论指数（H）、变异系数平方指数（C）、相对多样性指数（R）、和标准化曝光指数（P）。我们根据分离指数的七个理想属性来评估这六个指数。我们的结论是，信息论指数H是概念上和数学上最令人满意的指数，因为它只服从多群情况下的转移原则。此外，H是唯一可以分解为群间和群内分量之和的多群指数。
In this paper we derive and evaluate measures of multigroup segregation. After describing four ways to conceptualize the measurement of multigroup segregation—as the disproportionality in group (e.g., race) proportions across organizational units (e.g., schools or census tracts), as the strength of association between nominal variables indexing group and organizational unit membership, as the ratio of between-unit diversity to total diversity, and as the weighted average of two-group segregation indices—we derive six multigroup segregation indices: a dissimilarity index (D), a Gini index (G), an information theory index (H), a squared coefficient of variation index (C), a relative diversity index (R), and a normalized exposure index (P). We evaluate these six indices against a set of seven desirable properties of segregation indices. We conclude that the information theory index H is the most conceptually and mathematically satisfactory index, since it alone obeys the principle of transfers in the multigroup case. Moreover, H is the only multigroup index that can be decomposed into a sum of between- and within-group components.