Alternative Equation Formats

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MathML

p o w e r = {\begin{cases} P (F (1, N - p, N (m_{1} δ^{⋆})^{2}) \geq F_{1 - α} (1, N - p)) & two-sided \\ P (t (N - p, N^{\frac{1}{2}} m_{1} δ^{⋆}) \geq t_{1 - α} (N - p)) & upper one-sided \\ P (t (N - p, N^{\frac{1}{2}} m_{1} δ^{⋆}) \leq t_{α} (N - p)) & lower one-sided \end{cases}

Math Rendered as SVG

Math as LaTeX Source

\[ \mr{power} = \left\{ \begin{array}{ll} P\left(F(1, N-p, N (m_1 \delta ^\star )^2) \ge F_{1-\alpha }(1, N-p)\right) & \mbox{two-sided} \\ P\left(t(N-p, N^\frac {1}{2} m_1 \delta ^\star ) \ge t_{1-\alpha }(N-p)\right) & \mbox{upper one-sided} \\ P\left(t(N-p, N^\frac {1}{2} m_1 \delta ^\star ) \le t_{\alpha }(N-p)\right) & \mbox{lower one-sided} \\ \end{array} \right. \]