Post by Peter SmuldersThe source and executables of BigDeal are in the public domain.
It can generate every possible bridge deal with equal probability.
https://sater.home.xs4all.nl/doc.html
You are looking at a classic example of perfectly well
intentioned people relying on someone else's untested
theory.
I refer you to page 5 and 6 of Knuth's "The Art of
Computer Programming, Volume 2."
The output of the deals is the eating of the pudding. It is
simply not what it is claimed to be.
I know this is hard information for you to take in.
I've tested another run of 30 99 deal hand records. The
first run produced a mean of 0.84. The second of 0.87.
Then I did not have a scale established, so I assumed
that those were in-range values. When I get to integrating
those two runs into a single 60 results I expect to have
a mean somewhere between those two values.
But now I have a scale established. I finalized it last
evening. I know the optimal value (you would call it E.V.)
is 1.0. I have 60 instances. The square root of 60 is 7.746.
When I divide the uniform standard deviation of 0.288675 by
that value I get 0.037267782249... Multiply by 1.96, and
I get 0.073. This is the 95% (two-sided) confidence interval.
1.0 minus 0.073 = 0.927. 0.8 something is way outside this
confidence interval, and therefore these 60 hand records
are far too biased to be unbiased random deals.
In case you haven't noticed, I've succeeded in "operationally
defining" unbiased randomness.
My final evaluation steps enumerated above are known as
"standard error" calculation.
Douglas