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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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  • HENRY F. INMAN

    (Virginia Commonwealth University)

  • EDWIN L. BRADLEY Jr.

    (University of Alabama at Birmingham)

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).

Suggested Citation

  • HENRY F. INMAN & EDWIN L. BRADLEY Jr., 1991. "Approximations to the Mean and Variance of the Index of Dissimilarity in 2 x C Tables Under a Random Allocation Model," Sociological Methods & Research, , vol. 20(2), pages 242-255, November.
    • Handle: RePEc:sae:somere:v:20:y:1991:i:2:p:242-255
    DOI: 10.1177/0049124191020002003
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    References listed on IDEAS

    as
    1. James Sakoda, 1981. "A generalized index of dissimilarity," Demography, Springer;Population Association of America (PAA), vol. 18(2), pages 245-250, May.
    2. Kris Merschrod, 1981. "The index of dissimilarity as a measure of inequality," Quality & Quantity: International Journal of Methodology, Springer, vol. 15(4), pages 403-411, August.
    3. Barrie Morgan & John Norbury, 1981. "Some further observations on the index of residential differentiation," Demography, Springer;Population Association of America (PAA), vol. 18(2), pages 251-256, May.
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