Students of intergroup relations have measured segregation with a P* index. In this article, we describe the distribution of this index under a stochastic model. We derive exact, closed-form expressions for the mean, variance, and skewness of P* under random segregation. These yield equivalent expressions for a second segregation index: η2. Our analytic results reveal some of the distributional properties of these indices, inform new standardizations of the indices, and enable small-sample significance testing. Two illustrative examples are presented.
Bond, Charles F. and Richard, F. D.
"P* Index of Segregation: Distribution Under Reassignment,"
Journal of Modern Applied Statistical Methods: Vol. 2
, Article 4.
Available at: http://digitalcommons.wayne.edu/jmasm/vol2/iss2/4