Now after this fine mathmagic, I've the nerve to be annoyed that the tree of maximum likelihood has a marginalized posterior probability of only .11. A matrix is the result of our investigations. Some might disagree. Depends on reference sets of similar events. I suspect we agree more than disagree.
Statistical evaluations have major problems with assumptions and models.
The degree to which the pattern can be impressed on the data is NOT necessarily directly apposite to the degree to which nature impressed its own pattern on the data.