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F-distribution In statistics , the F -distributionprobability distribution of a random variable of the form
U 1 U 2 have chi-square distributions with d 1 d 2 degrees of freedom respectively, and
U 1 and U 2 are independent (see Cochran's theorem for an application).
F -distribution arises frequently as the null distribution of a test statistic, especially in likelihood-ratio tests, perhaps most notably in the analysis of variance ; see F-test .
If d 2 d 2 /(d 2 − 2) and
if d 2
d 1 unimodal with mode
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