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:
“Hesitation increases in relation to risk in equal proportion to age.”
—Ernest Hemingway (1899–1961)
“Skepticism is unbelief in cause and effect. A man does not see, that, as he eats, so he thinks: as he deals, so he is, and so he appears; he does not see that his son is the son of his thoughts and of his actions; that fortunes are not exceptions but fruits; that relation and connection are not somewhere and sometimes, but everywhere and always; no miscellany, no exemption, no anomaly,—but method, and an even web; and what comes out, that was put in.”
—Ralph Waldo Emerson (1803–1882)
“There are other measures of self-respect for a man, than the number of clean shirts he puts on every day.”
—Ralph Waldo Emerson (1803–1882)