Alternative Equation Formats

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MathML

σ ^ 2 = V a r ^ (   log ( O R M H )   ) = h ( n h 11 + n h 22 ) ( n h 11   n h 22 ) / n h 2 2 ( h n h 11   n h 22 / n h ) 2 +   h [ ( n h 11 + n h 22 ) ( n h 12   n h 21 ) + ( n h 12 + n h 21 ) ( n h 11   n h 22 ) ] / n h 2 2 ( h n h 11   n h 22 / n h ) ( h n h 12   n h 21 / n h ) +   h ( n h 12 + n h 21 ) ( n h 12   n h 21 ) / n h 2 2 ( h n h 12   n h 21 / n h ) 2

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \hat{\sigma }^2 & = & \widehat{\mr{Var}}(~ \log (\mr{OR}_{\scriptstyle \mr{MH}})~ ) \\[0.10in]& = & \frac{\sum _ h (n_{h11} + n_{h22}) (n_{h11} ~ n_{h22}) / n_ h^2}{2 \left( \sum _ h n_{h11} ~ n_{h22} / n_ h \right)^2} \\[0.10in]& & + ~ \frac{\sum _ h [ (n_{h11} + n_{h22})(n_{h12} ~ n_{h21}) + (n_{h12} + n_{h21})(n_{h11} ~ n_{h22}) ] / n_ h^2}{2 \left( \sum _ h n_{h11} ~ n_{h22} / n_ h \right) \left( \sum _ h n_{h12} ~ n_{h21} / n_ h \right)} \\[0.10in]& & + ~ \frac{\sum _ h (n_{h12} + n_{h21}) (n_{h12} ~ n_{h21}) / n_ h^2}{2 \left( \sum _ h n_{h12} ~ n_{h21} / n_ h \right)^2} \end{eqnarray*}