Comparing Behavior of Unbiased and Standard Versions of Popular Indices

Abstract

In the previous chapter I outlined the rationale for unbiased versions of indices of uneven distribution. Additionally, I presented results from analysis of expected group residential distributions under a binomial probability model to establish that the unbiased versions of popular indices have expected values of zero when residential distributions are random. In this chapter I report analyses of the behavior of standard and unbiased versions of indices of uneven distribution to document two things: the potential undesirable impact of bias on the scores of standard versions of indices and the attractive behavior of the scores of unbiased versions of the same indices.