Section: Random Number Generation
y = randf(n,m)
where n and m are vectors of the number of degrees of freedom
in the numerator and denominator of the chi-square random variables
whose ratio defines the statistic.
F_{n,m} is defined as the ratio of two chi-square
random variables:
 
The PDF is given by
 
where B(a,b) is the beta function.
randf to generate some F-distributed random variables,
and then again using the randchi function:
--> randf(5*ones(1,9),7)
ans = 
 Columns 1 to 8
    1.1944    0.9069    0.7558    1.5029    0.0621    1.3860    1.8161    0.3755 
 Columns 9 to 9
    3.5794 
--> randchi(5*ones(1,9))./randchi(7*ones(1,9))
ans = 
 Columns 1 to 8
    1.3085    1.2693    1.0684    0.4377    1.1158    0.7171    0.4151    1.8022 
 Columns 9 to 9
    1.4606