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MathML

concordance index  c  (AUC) = ( n c + 0.5 n t ) / n Somers'  D  (Gini coefficient)  = ( n c n d ) / n Goodman-Kruskal gamma  = ( n c n d ) / ( n c + n d ) Kendall's tau- a = ( n c n d ) / ( 0.5 N ( N 1 ) )

Math Rendered as SVG

Math as LaTeX Source

\[ \begin{array}{lcl} \text {concordance index } c \text { (AUC)} & =& (n_ c+0.5n_ t)/n \\ \text {Somers' } D \text { (Gini coefficient) } & =& (n_ c-n_ d)/n \\ \text {Goodman-Kruskal gamma } & =& (n_ c-n_ d)/(n_ c+n_ d) \\ \text {Kendall's tau-}a & =& (n_ c-n_ d)/(0.5N(N-1)) \end{array} \]