Jean Marie Linhart wrote:
Please note the definition for invbinomial() -- it is a bit unusual:
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Thank you, Jean Marie, for clearing up my confusion.  I actually now
remember the reference manual calling it a "twist," but its significance
didn't register at the moment.
There must be a story behind the different behaviors of -Binomial()-
and -invbinomial()- . . .
Joseph Coveney
P.S.  I have an alpha version of -blakerci.ado- working.  It's surprisingly
not much more conservative than the Blyth-Still-Casella interval (from
StatXact) in the limited evaluation that I've had time to do; quite similar,
actually.  If it survives certification testing, then I'll forward a package
to Kit Baum.  It yields a so-called exact binomial confidence interval
(guaranteed to have at least nominal coverage), one that is nevertheless
less conservative than the Clopper-Pearson interval.  It should offer an
additional alternative to the several approximate binomial confidence
intervals already available in Stata.
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