Alternative Equation Formats

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MathML

p o w e r = {\begin{cases} Φ (\frac{(p_{2} - p_{1} - p_{0}) (N w_{1} w_{2})^{\frac{1}{2}} - z_{1 - α} {[(w_{1} p_{1} + w_{2} p_{2}) (1 - w_{1} p_{1} - w_{2} p_{2})]}^{\frac{1}{2}}}{{[w_{2} p_{1} (1 - p_{1}) + w_{1} p_{2} (1 - p_{2})]}^{\frac{1}{2}}}), & upper one-sided \\ Φ (\frac{- (p_{2} - p_{1} - p_{0}) (N w_{1} w_{2})^{\frac{1}{2}} - z_{1 - α} {[(w_{1} p_{1} + w_{2} p_{2}) (1 - w_{1} p_{1} - w_{2} p_{2})]}^{\frac{1}{2}}}{{[w_{2} p_{1} (1 - p_{1}) + w_{1} p_{2} (1 - p_{2})]}^{\frac{1}{2}}}), & lower one-sided \\ Φ (\frac{(p_{2} - p_{1} - p_{0}) (N w_{1} w_{2})^{\frac{1}{2}} - z_{1 - \frac{α}{2}} {[(w_{1} p_{1} + w_{2} p_{2}) (1 - w_{1} p_{1} - w_{2} p_{2})]}^{\frac{1}{2}}}{{[w_{2} p_{1} (1 - p_{1}) + w_{1} p_{2} (1 - p_{2})]}^{\frac{1}{2}}}) + \\ Φ (\frac{- (p_{2} - p_{1} - p_{0}) (N w_{1} w_{2})^{\frac{1}{2}} - z_{1 - \frac{α}{2}} {[(w_{1} p_{1} + w_{2} p_{2}) (1 - w_{1} p_{1} - w_{2} p_{2})]}^{\frac{1}{2}}}{{[w_{2} p_{1} (1 - p_{1}) + w_{1} p_{2} (1 - p_{2})]}^{\frac{1}{2}}}), & two-sided \end{cases}

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Math as LaTeX Source

\[ \mr{power} = \left\{ \begin{array}{ll} \Phi \left( \frac{(p_2 - p_1 - p_0) (N w_1 w_2)^\frac {1}{2} - z_{1-\alpha } \left[ (w_1 p_1 + w_2 p_2) (1 - w_1 p_1 - w_2 p_2) \right]^\frac {1}{2}}{\left[ w_2 p_1 (1 - p_1) + w_1 p_2 (1 - p_2) \right]^\frac {1}{2}} \right), & \mbox{upper one-sided} \\ \Phi \left( \frac{-(p_2 - p_1 - p_0) (N w_1 w_2)^\frac {1}{2} - z_{1-\alpha } \left[ (w_1 p_1 + w_2 p_2) (1 - w_1 p_1 - w_2 p_2) \right]^\frac {1}{2}}{\left[ w_2 p_1 (1 - p_1) + w_1 p_2 (1 - p_2) \right]^\frac {1}{2}} \right), & \mbox{lower one-sided} \\ \Phi \left( \frac{(p_2 - p_1 - p_0) (N w_1 w_2)^\frac {1}{2} - z_{1-\frac{\alpha }{2}} \left[ (w_1 p_1 + w_2 p_2) (1 - w_1 p_1 - w_2 p_2) \right]^\frac {1}{2}}{\left[ w_2 p_1 (1 - p_1) + w_1 p_2 (1 - p_2) \right]^\frac {1}{2}} \right) + \\ \quad \Phi \left( \frac{-(p_2 - p_1 - p_0) (N w_1 w_2)^\frac {1}{2} - z_{1-\frac{\alpha }{2}} \left[ (w_1 p_1 + w_2 p_2) (1 - w_1 p_1 - w_2 p_2) \right]^\frac {1}{2}}{\left[ w_2 p_1 (1 - p_1) + w_1 p_2 (1 - p_2) \right]^\frac {1}{2}} \right), & \mbox{two-sided} \\ \end{array} \right. \]