Welch's t-test: Difference between revisions

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<math> B(x;a,b) = \int_0^x t^{a-1}\,(1-t)^{b-1}\,\mathrm{d}t. \!</math>
 
and
 
<math>
\Beta(x,y) = \frac{x+y}{x y} \prod_{n=1}^\infty \left( 1+ \dfrac{x y}{n (x+y+n)}\right)^{-1}=\dfrac{\Gamma(x)\,\Gamma(y)}{\Gamma(x+y)}
\!</math>
 
<math> p </math> can be calculated in terms of gamma functions and integrals more simply: