Approximations to the Mean and Variance of the Index of Dissimilarity in 2 x C Tables Under a Random Allocation Model
Approximations to the Mean and Variance of the Index of Dissimilarity in 2 x C Tables Under a Random Allocation Model
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随机分配模型下 2 x C 表中相异指数的均值和方差的近似
DOI：
10.1177/0049124191020002003
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发表时间：
1991
影响因子：
6.3
通讯作者：
E. Bradley
中科院分区：
文献类型：
--
作者：
Henry F. Inman;E. Bradley
使用单元格频率的多元超几何分布的多元正态近似和指数分量的适当多元折叠正态分布，导出随机分配模型下 2 x C 表中相异指数的均值和方差的近似值。为了说明这些近似值的一种应用，我们遵循 Cortese、Falk 和 Cohen（1976 年）的做法，对根据地区人口普查数据计算出的相异指数值进行标准化，以比较 1970 年和 1980 年伯明翰和里士满的种族隔离水平。
Approximations to the mean and variance of the index of dissimilarity in 2 x C tables under a random allocation model are derived, using a multivariate normal approximation to the multivariate hypergeometric distribution for the cell frequencies and the appropriate multivariate folded-normal distribution for the components of the index. To illustrate one application of these approximations, we standardize values of the dissimilarity index computed from tract-level census data to compare the levels of racial segregation in Birmingham and Richmond in 1970 and 1980, following Cortese, Falk, and Cohen (1976).