F distribution, Mathematics

The F Distribution

The F distribution is the distribution of the ratio of 2 random variables. Both random variables have yet another distribution, called the c2 Distribution. The degrees of freedom of the numerator is n1 and that of the denominator is n2. We will come across this distribution while studying Regression.

Example 

Consider the F distribution with degrees of freedom 2 in the numerator and 13 in the denominator. What is the area under the curve, right of 3.81?

From the tables, this area equals 0.05. (Tables are given in the appendix.) 

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