Oh crumbs! There I was thinking that by obtaining an estimate of the probabilities of the responses of different groups to an employee survey I was applying a bayesian probalistic approach.

I'm going to have to rethink everything now as since it worked and was quite quick (I didn't even sample using MCMC, just brute force pulled permutations) so it was clearly not a bayesian approach, and I am very very far from one of the top 20 (or 200, or 2000 or 20000, maybe 200000?) researchers...