Beta function is defined by: , where the Gamma function:
with half-integer factorials:
,
.
Doncaster, C. P. & Davey, A. J. H. (2007) Analysis of Variance and Covariance: How to Choose and Construct Models for the Life Sciences. Cambridge: Cambridge University Press.
http://southampton.likn.co/~cpd/anovas/datasets/