Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and chemometrics......click here for more. |
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See also: sampling distributions, chi-square distribution, t-distribution | |||||||
F DistributionThe F-distribution becomes relevant when we try to calculate the ratios of variances of normally distributed statistics. Suppose we have two samples with n1 and n2 observations, the ratio ![]() is distributed according to an F distribution (named after R.A. Fisher) with df1 = n1-1 numerator degrees of freedom, and df2 = n2-1 denominator degrees of freedom. The F-distribution is skewed to the right, and the F-values can be only positive. Note that three of the most important distributions (namely the normal distribution, the t distribution and the chi-square distribution) may be seen as special cases of the F distribution:
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