- Variation ratio
The variation ratio is a simple measure of
statistical dispersionin nominal distributions; it is the simplest measure of qualitative variation.
It is defined as the percent of cases which are not the
While a simple measure, it is notable in that some texts and guides suggest or imply that the dispersion of nominal measurements cannot be ascertained. It is defined for instance in Harv|Freeman|1965.
Just as with the
rangeor standard deviation, the larger the variation ratio, the more differentiated or dispersed the data are; and the smaller the variation ratio, the more concentrated and similar the data are.
For example, a group which is 55% female has a variation ratio of 45% and is more dispersed in terms of gender than a group which is 95% female and has a variation ratio of only 5%. Similarly, a group which is 25% Catholic (where Catholic is the modal religious preference) has a variation ratio of 75% and is much more dispersed religiously than a group which is 85% Catholic and has a variation ratio of only 15%.
title=Elementary Applied Statistics
publisher=John Wiley and Sons
Qualitative variation, for a number of other measures of dispersion in nominal variables
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