Alternative Equation Formats

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MathML

n 00 = # { control=failure, case=failure } n 01 = # { control=failure, case=success } n 10 = # { control=success, case=failure } n 11 = # { control=success, case=success } N = n 00 + n 01 + n 10 + n 11 n D = n 01 + n 10 # discordant pairs π ^ i j = n i j N π i j = theoretical population value of  π ^ i j π 1 = π 10 + π 11 π 1 = π 01 + π 11 ϕ = C o r r ( control observation , case observation ) (within a pair) D P R = "discordant proportion ratio" = π 01 π 10 D P R 0 = null DPR

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} n_{00} & = \# \{ \mbox{control=failure, case=failure}\} \\ n_{01} & = \# \{ \mbox{control=failure, case=success}\} \\ n_{10} & = \# \{ \mbox{control=success, case=failure}\} \\ n_{11} & = \# \{ \mbox{control=success, case=success}\} \\ N & = n_{00} + n_{01} + n_{10} + n_{11} \\ n_ D & = n_{01} + n_{10} \equiv \# \mbox{discordant pairs} \\ \hat{\pi }_{ij} & = \frac{n_{ij}}{N} \\ \pi _{ij} & = \mbox{theoretical population value of } \hat{\pi }_{ij} \\ \pi _{1 \cdot } & = \pi _{10} + \pi _{11} \\ \pi _{\cdot 1} & = \pi _{01} + \pi _{11} \\ \phi & = \mr{Corr} (\mbox{control observation}, \mbox{case observation}) \quad \mbox{(within a pair)} \\ \mr{DPR} & = \mbox{"discordant proportion ratio"} = \frac{\pi _{01}}{\pi _{10}} \\ \mr{DPR}_0 & = \mbox{null DPR} \\ \end{align*}