Approximations to the Mean and Variance of the Index of Dissimilarity in 2 x C Tables Under a Random Allocation Model

Henry F. Inman and Edwin L. Bradley
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Henry F. Inman: Virginia Commonwealth University
Edwin L. Bradley: University of Alabama at Birmingham

Sociological Methods & Research, 1991, vol. 20, issue 2, 242-255

Abstract: 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).

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:sae:somere:v:20:y:1991:i:2:p:242-255

DOI: 10.1177/0049124191020002003

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