F-distribution
Continuous probability distribution / From Wikipedia, the free encyclopedia
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This article is about the central F-distribution. For the generalized distribution, see noncentral F-distribution. For other uses, see F-ratio.
Not to be confused with F-statistics as used in population genetics.
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. Snedecor), is a continuous probability distribution that arises frequently as the null distribution of a test statistic, most notably in the analysis of variance (ANOVA) and other F-tests.[2][3][4][5]
Quick Facts Parameters, Support ...
Probability density function | |||
Cumulative distribution function | |||
Parameters | d1, d2 > 0 deg. of freedom | ||
---|---|---|---|
Support | if , otherwise | ||
CDF | |||
Mean |
for d2 > 2 | ||
Mode |
for d1 > 2 | ||
Variance |
for d2 > 4 | ||
Skewness |
for d2 > 6 | ||
Excess kurtosis | see text | ||
Entropy |
[1] | ||
MGF | does not exist, raw moments defined in text and in [2][3] | ||
CF | see text |
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