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Bessel's Statistical Formula


\begin{displaymath}
t={\bar w-\omega\over \sigma_w/\sqrt{N}} = {{\bar w-\omega} \over {\sqrt{\sum_{i=1}^n (w_i-\bar w)^2\over N(N-1)}}},
\end{displaymath} (1)

where
$\displaystyle \bar w$ $\textstyle \equiv$ $\displaystyle \hat x_1-\bar x_2$ (2)
$\displaystyle \omega$ $\textstyle \equiv$ $\displaystyle \mu_{(1)}-\mu_{(2)}$ (3)
$\displaystyle N$ $\textstyle \equiv$ $\displaystyle N_1+N_2.$ (4)




© 1996-9 Eric W. Weisstein
1999-05-26