Alternative Equation Formats

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MathML

R d i j = P r o b ( Y  is discordant with cell ( i , j ) ) + 1 2 P r o b ( Y  is tied with cell ( i , j ) ) = P r o b ( ( g r o u p < i  and  Y > j )  or  ( g r o u p > i  and  Y < j ) ) + 1 2 P r o b ( g r o u p i  and  Y = j ) = g = 1 2 c = 1 C w g p ~ g c [ I ( g i ) ( c j ) < 0 + 1 2 I g i , c = j ]

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} Rd_{ij} & = \mr{Prob}\left(Y \mbox{ is discordant with cell} (i,j)\right) + \frac{1}{2} \mr{Prob}\left(Y \mbox{ is tied with cell} (i,j)\right) \\ & = \mr{Prob}\left((\mr{group} < i \mbox{ and } Y > j) \mbox{ or } (\mr{group} > i \mbox{ and } Y < j)\right) + \\ & \quad \frac{1}{2} \mr{Prob}\left(\mr{group} \ne i \mbox{ and } Y = j\right) \\ & = \sum _{g=1}^2 \sum _{c=1}^ C w_ g \tilde{p}_{gc} \left[\mr{I}_{(g-i)(c-j) < 0} + \frac{1}{2} \mr{I}_{g \ne i, c = j} \right] \end{align*}