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 proper study of mankind is man in his relation to his deity.”
—D.H. (David Herbert)
“There is a relation between the hours of our life and the centuries of time. As the air I breathe is drawn from the great repositories of nature, as the light on my book is yielded by a star a hundred millions of miles distant, as the poise of my body depends on the equilibrium of centrifugal and centripetal forces, so the hours should be instructed by the ages and the ages explained by the hours.”
—Ralph Waldo Emerson (1803–1882)
“It seems that American patriotism measures itself against an outcast group. The right Americans are the right Americans because they’re not like the wrong Americans, who are not really Americans.”
—Eric J. Hobsbawm (b. 1917)