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:
“We must get back into relation, vivid and nourishing relation to the cosmos and the universe. The way is through daily ritual, and is an affair of the individual and the household, a ritual of dawn and noon and sunset, the ritual of the kindling fire and pouring water, the ritual of the first breath, and the last.”
—D.H. (David Herbert)
“The problem of the twentieth century is the problem of the color-line—the relation of the darker to the lighter races of men in Asia and Africa, in America and the islands of the sea. It was a phase of this problem that caused the Civil War.”
—W.E.B. (William Edward Burghardt)
“Almost everywhere we find . . . the use of various coercive measures, to rid ourselves as quickly as possible of the child within us—i.e., the weak, helpless, dependent creature—in order to become an independent competent adult deserving of respect. When we reencounter this creature in our children, we persecute it with the same measures once used in ourselves.”
—Alice Miller (20th century)