Re: Variance of an index of dispersion

> 1. Does it make sense to have a variance of a measure of dispersion,

Yes

> 2. How would I calculate a variance [of the dispersion statistic]

Couldn't this be done using jackknife methods? The jacknife is very
easy given categorical data. With K ethnic categories, you'd
re-calculate the dispersion statistic K times, each time deleting a
single observation of one ethnic group; weight these results (so that
it has the effect of deleting *every* observation in the sample once);
and apply the usual jackknife formula.

--
John Uebersax PhD

.

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