Alternative Equation Formats

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MathML

\begin{aligned} S S_{H} & = \frac{1}{N} {(L \hat{β} - θ_{0})}^{'} {(L {(X^{'} X)}^{-} L^{'})}^{- 1} (L \hat{β} - θ_{0}) \\ \hat{β} & = (X^{'} X)^{-} X^{'} y \\ {\hat{σ}}^{2} & = \frac{1}{D F_{E}} {(y - X \hat{β})}^{'} (y - X \hat{β}) \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \mr{SS_ H} & = \frac{1}{N} \left(\mb{L} \hat{\bbeta } - \btheta _0 \right)'\left(\mb{L} \left(\mb{X}'\mb{X}\right)^{-} \mb{L}^\prime \right)^{-1} \left(\mb{L} \hat{\bbeta } - \btheta _0 \right) \\ \hat{\bbeta } & = (\mb{X}'\mb{X})^{-}\mb{X}' \mb{y} \\ \hat{\sigma }^2 & = \frac{1}{\mr{DF_ E}} \left( \mb{y} - \mb{X} \hat{\bbeta } \right)' \left( \mb{y} - \mb{X} \hat{\bbeta } \right) \end{align*}