Wald statistics with a shared control
= Wald statistics with a shared control
{c}
{title2=$\rho=\frac{v_0}{\sqrt{(v_0+v_1)(v_0+v_2)}}$}
Independent normal arm means with variances $v_0,v_1,v_2$ give treatment-contrast <Wald test> statistics whose <correlation coefficient> is $v_0/\sqrt{(v_0+v_1)(v_0+v_2)}$. The common control mean creates positive dependence between comparisons.