Appendix F:Percentage Points for the F-Distribution
Let W and Y be independent chi-square random variables with u and v degrees of freedom, respectively. Then the ratio
has the probability density function
This is the probability density for the F distribution with u degrees of freedom for the numerator and v degrees of freedom for the denominator and is denoted by Fu, v.
The percentage points of the F distribution are given in the following table. If be the percentage point of the F distribution with the numerator degrees of freedom of ν1 and the denominator degrees of freedom of ν2, then
The lower tail percentage points f1−a, u, v can be found using the following equation
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be the percentage point of the F distribution with the numerator degrees of freedom of ν1 and the denominator degrees of freedom of ν2, then