Tech Tips: F Distribution

Calculating Heights of Points on the Graph of the F Distribution Function

To calculate the height at $x$ of the graph of the F Distribution function with $dfn$ degrees of freedom associated with the numerator and $dfd$ degrees of freedom associated with the denominator,


Calculating F Distribution Probabilities

To calculate the area to the left of some $x$ and under a curve corresponding to a F distribution with $dfn$ degrees of freedom associated with the numerator and $dfd$ degrees of freedom associated with the denominator,


Inverse Calculations with the F Distribution

To find the cut-off $x$-value for which a random variable following a F distribution with $dfn$ degrees of freedom associated with the numerator and $dfd$ degrees of freedom associated with the denominator will produce an outcome less than $x$ with some given probability of $p$ (or, said another way, to find the $x$ value where there is an area of $p$ to the left of $x$ and under the related F distribution curve) ...


Generating Random Data Following an F Distribution

To generate $n$ values randomly selected from a F distribution with $dfn$ degrees of freedom associated with the numerator and $dfd$ degrees of freedom associated with the denominator,