Alternative Equation Formats

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MathML

\begin{aligned} p o w e r & = {\begin{cases} P [(\frac{N - 1 - p}{p_{1}}) (\frac{R_{Y X_{1} | X_{- 1}}^{2}}{1 - R_{Y X_{1} | X_{- 1}}^{2}}) \geq F_{1 - α} (p_{1}, N - 1 - p)], & intercept \\ P [(\frac{N - p}{p_{1}}) (\frac{R_{Y X_{1} | X_{- 1}}^{2}}{1 - R_{Y X_{1} | X_{- 1}}^{2}}) \geq F_{1 - α} (p_{1}, N - p)], & no intercept \end{cases} \\ = {\begin{cases} P [R_{Y X_{1} | X_{- 1}}^{2} \geq \frac{F_{1 - α} (p_{1}, N - 1 - p)}{F_{1 - α} (p_{1}, N - 1 - p) + \frac{N - 1 - p}{p_{1}}}], & intercept \\ P [R_{Y X_{1} | X_{- 1}}^{2} \geq \frac{F_{1 - α} (p_{1}, N - p)}{F_{1 - α} (p_{1}, N - p) + \frac{N - p}{p_{1}}}], & no intercept \end{cases} \end{aligned}

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Math as LaTeX Source

\begin{align*} \mr{power} & = \left\{ \begin{array}{ll} P\left[\left(\frac{N-1-p}{p_1}\right) \left( \frac{R^2_{Y X_1|X_{-1}}}{1 - R^2_{Y X_1|X_{-1}}} \right) \ge F_{1-\alpha }(p_1, N-1-p)\right], & \mbox{intercept} \\ P\left[\left(\frac{N-p}{p_1}\right) \left( \frac{R^2_{Y X_1|X_{-1}}}{1 - R^2_{Y X_1|X_{-1}}} \right) \ge F_{1-\alpha }(p_1, N-p)\right], & \mbox{no intercept} \\ \end{array} \right. \\ & = \left\{ \begin{array}{ll} P\left[ R^2_{Y X_1|X_{-1}} \ge \frac{F_{1-\alpha }(p_1, N-1-p)}{F_{1-\alpha }(p_1, N-1-p) + \frac{N-1-p}{p_1}} \right], & \mbox{intercept} \\ P\left[ R^2_{Y X_1|X_{-1}} \ge \frac{F_{1-\alpha }(p_1, N-p)}{F_{1-\alpha }(p_1, N-p) + \frac{N-p}{p_1}} \right], & \mbox{no intercept} \\ \end{array} \right. \\ \end{align*}