The F-distribution (also known as Snedecor's F distribution or the Fisher-Snedecor distribution) depends on two separate degrees of freedom, m and n. It is defined by (Eq. 2 in MathWorld):
In Maple notation:
In order to calculate the percentage points of the F-distribution we need to find the area under the curve. For example, for known m, n the integral
defines the percentage of points under curve for x, since
This can be done easily in Maple, if we wish to find, say, 95 % confidence level for m=4, n=3, we (could) do the following:
> Fstat:=proc(perc,m,n) fsolve(int(fdist(u,m,n),u=0..x)-perc,x=0..infinity); end proc:
Is there a Maple built-in function I can use to calculate these values in a more elegant form instead of defining fdist and Fstat?
Is there something similar for the evaluation of the percentage points of the t-Distribution?