In probability theory and statistics, the F-distribution or F-ratio, also known as Snedecor’s F distribution or the Fisher–Snedecor distribution (after Ronald Fisher and George W. One very useful probability distribution for studying population variances is called the F-distribution. Test statistics: Fsz = s12/s22 where s12 s22 If H0 fulfills, then Fsz is of F-distribution with degrees of freedom n1-1, n2-1 . Let x have a normal distribution with mean ‘μ’ for the sample of size ‘n’ with sample mean
//5 Ways To Master Your Tests for One Variance
5em]{\frac {\,_{2}F_{1}\left({\frac {1}{2}},{\frac {\nu +1}{2}};{\frac {3}{2}};-{\frac {x^{2}}{\nu }}\right)}{{\sqrt {\pi \nu }}\,\Gamma \left({\frac {\nu }{2}}\right)}}\end{matrix}}}
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{\displaystyle {\begin{matrix}{\frac {\nu +1}{2}}\left[\psi \left({\frac {1+\nu }{2}}\right)-\psi \left({\frac {\nu }{2}}\right)\right]\\[0. .
