Relation To Other Statistical Measures
Gini coefficient closely related to the AUC (Area Under receiver operating characteristic Curve) measure of performance. The relation follows the formula Gini coefficient is also closely related to Mann–Whitney U.
Gini index is also related to Pietra index - both of which are a measure of statistical heterogeneity and are derived from Lorenz curve and the diagonal line.
In certain fields such as ecology, Simpson's index is used, which is related to Gini. Simpson index scales as mirror opposite to Gini; that is, with increasing diversity Simpson index takes a smaller value (0 means maximum, 1 means minimum heterogeneity per classic Simpson index). Simpson index is sometimes transformed by subtracting the observed value from the maximum possible value of 1, and then it is known as Gini-Simpson Index.
Read more about this topic: Gini Coefficient
Famous quotes containing the words relation to, relation and/or measures:
“The difference between objective and subjective extension is one of relation to a context solely.”
—William James (1842–1910)
“A theory of the middle class: that it is not to be determined by its financial situation but rather by its relation to government. That is, one could shade down from an actual ruling or governing class to a class hopelessly out of relation to government, thinking of gov’t as beyond its control, of itself as wholly controlled by gov’t. Somewhere in between and in gradations is the group that has the sense that gov’t exists for it, and shapes its consciousness accordingly.”
—Lionel Trilling (1905–1975)
“A lake is the landscape’s most beautiful and expressive feature. It is earth’s eye; looking into which the beholder measures the depth of his own nature. The fluviatile trees next the shore are the slender eyelashes which fringe it, and the wooded hills and cliffs around are its overhanging brows.”
—Henry David Thoreau (1817–1862)