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MathML

p o w e r = {\begin{cases} Φ (\frac{(p_{01} - p_{10}) {[N (p_{10} + p_{01})]}^{\frac{1}{2}} - z_{1 - α} (p_{10} + p_{01})}{{[(p_{10} + p_{01})^{2} - \frac{1}{4} (p_{01} - p_{10})^{2} (3 + p_{10} + p_{01})]}^{\frac{1}{2}}}), & upper one-sided \\ Φ (\frac{- (p_{01} - p_{10}) {[N (p_{10} + p_{01})]}^{\frac{1}{2}} - z_{1 - α} (p_{10} + p_{01})}{{[(p_{10} + p_{01})^{2} - \frac{1}{4} (p_{01} - p_{10})^{2} (3 + p_{10} + p_{01})]}^{\frac{1}{2}}}), & lower one-sided \\ Φ (\frac{(p_{01} - p_{10}) {[N (p_{10} + p_{01})]}^{\frac{1}{2}} - z_{1 - \frac{α}{2}} (p_{10} + p_{01})}{{[(p_{10} + p_{01})^{2} - \frac{1}{4} (p_{01} - p_{10})^{2} (3 + p_{10} + p_{01})]}^{\frac{1}{2}}}) + \\ Φ (\frac{- (p_{01} - p_{10}) {[N (p_{10} + p_{01})]}^{\frac{1}{2}} - z_{1 - \frac{α}{2}} (p_{10} + p_{01})}{{[(p_{10} + p_{01})^{2} - \frac{1}{4} (p_{01} - p_{10})^{2} (3 + p_{10} + p_{01})]}^{\frac{1}{2}}}), & two-sided \end{cases}

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Math as LaTeX Source

\[ \mr{power} = \left\{ \begin{array}{ll} \Phi \left(\frac{(p_{01}-p_{10}) \left[N(p_{10}+p_{01})\right]^\frac {1}{2} - z_{1-\alpha }(p_{10}+p_{01})}{\left[ (p_{10}+p_{01})^2 - \frac{1}{4}(p_{01}-p_{10})^2 (3+p_{10}+p_{01}) \right]^\frac {1}{2}} \right), & \mbox{upper one-sided} \\ \Phi \left(\frac{-(p_{01}-p_{10}) \left[N(p_{10}+p_{01})\right]^\frac {1}{2} - z_{1-\alpha }(p_{10}+p_{01})}{\left[ (p_{10}+p_{01})^2 - \frac{1}{4}(p_{01}-p_{10})^2 (3+p_{10}+p_{01}) \right]^\frac {1}{2}} \right), & \mbox{lower one-sided} \\ \Phi \left(\frac{(p_{01}-p_{10}) \left[N(p_{10}+p_{01})\right]^\frac {1}{2} - z_{1-\frac{\alpha }{2}}(p_{10}+p_{01})}{\left[ (p_{10}+p_{01})^2 - \frac{1}{4}(p_{01}-p_{10})^2 (3+p_{10}+p_{01}) \right]^\frac {1}{2}} \right) + \\ \quad \Phi \left(\frac{-(p_{01}-p_{10}) \left[N(p_{10}+p_{01})\right]^\frac {1}{2} - z_{1-\frac{\alpha }{2}}(p_{10}+p_{01})}{\left[ (p_{10}+p_{01})^2 - \frac{1}{4}(p_{01}-p_{10})^2 (3+p_{10}+p_{01}) \right]^\frac {1}{2}} \right), & \mbox{two-sided} \\ \end{array} \right. \]