The -ci- command includes several options for computing binomial confidence
intervals: exact (the default), wilson, agresti and jeffreys. Just so I am
clear on these, is "exact" really really really exact? Am I correct in
guessing that "exact" can be the most difficult to do by hand, and the
others are therefore approximations that are somewhat easier to calculate
if you don't have a computer? Is there any reason I would not want to use
"exact", other than perhaps to replicate a calculation done using one of
the other methods? Thanks for any insights.