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The F distribution has a natural relationship with the chi-square distribution. If χ1 and χ2 are both chi-square with ν1 and ν2 degrees of freedom respectively, then the statistic F below is F-distributed.
The two parameters, ν1 and ν2, are the numerator and denominator degrees of freedom. That is, ν1 and ν2 are the number of independent pieces of information used to calculate χ1 and χ2, respectively.