14. The apparatus of claim 13 wherein said Markov Chain Monte Carlo processor computes prior probability information that is supplied to said Bayesian inference processor for use in computing said precision probability distribution.
13. The apparatus of claim 12 further comprising Markov Chain Monte Carlo processor having associated non-transitory machine readable medium configured to include a beta bionomial model data structure having a root node and plural leaf nodes, wherein the precision probability distribution is represented by one of said plural leaf nodes and wherein the root node represents an overall grouping precision distribution of the collective plural leaf nodes.