Paired Z-Test of Proportions

From Q
Jump to: navigation, search

Where g_1 and g_2 are the two proportions and s_{g_1 - g_2} is an estimate of the standard error of the difference between the proportions:

z=\frac{g_1-g_2}{\sigma_{g_1-g_2}}

where:

p \approx 2(1-\Phi(|z|)) if g_1 \ne g_2 and NaN otherwise,
s_{g_1 - g_2} is computed as the Standard Error of d,
the value for the ith observation is computed as d_i = x_1 - x_2,
x_1,x_2 \in {\{0,1\}} are the observed values on the two variables.