On Thu, Aug 28, 2014 at 09:33:26PM +0000, Edward Ned Harvey (blu) wrote:
> > From: [email protected] [mailto:discuss-
> > [email protected]] On Behalf Of Dan Ritter
> > 
> > Shannon's experimental tests are reported and repeatable, and
> > have in fact been repeated several times.
> 
> My puzzle was 139 characters long, I completed it in 380 total guesses and 
> 241 incorrect guesses.  The measured Shannon entropy was 1.95 bits per 
> character.

You're interpreting it incorrectly. The estimator method gives an upper
bound on Shannon entropy, not a precise measurement. Note that the larger
the number of experiments, the smaller the figure becomes, until people
have converged on 1.1 bits per character.

Suppose we play the game, and I think of a phrase, and you say
"the magic word is squeamish ossifrage", and purely by chance,
that is what I was thinking of. Is the entropy zero?

-dsr-
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