neq1,

Thanks for the great learning. One apparent inconsistency puzzled me a bit:

You go out of your way to say that you expect Θsens>1-Θspec (which looks sensible to me), then follow up by choosing a pair of priors which, assuming independence, appear to violate this expectation a significant fraction of the time - perhaps 20-25%, just eyeballing the distributions.

Can you comment on the apparent inconsistency, or straighten out my misconceptions?