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Thanks for the Formula's and explanation. I for one will try this. Probably not until the weekend, But I will get back to you with my results.
I'll be interested to see how you go. Keep us posted?
OK so here is what I got:
Round 21628 Thru 21657 =
30 RoundsTotal Shares =
78149042396All blocks solved at Difficulty - 2,621,404,453.06
2,621,404,453.06 * 30 =
78,642,133,591.8So Total Shares -
78149042396/
78,642,133,591.8 (Difficulty * 30) = x
x =
.993729936189684k=30, lambda=30, x=.993729936189684
RESULT = .5105800139110OK! Now it's up to you to tell me/us what this number means

Thanks
The "RESULT" is the Erlang distribution cumulative distribution function p-value. From Wikipedia, the CDF "is the probability of observing a test statistic at least as extreme as the one observed".
In this case results refer to the lower tail probability, so given a value of 0.5105 this means that there is a probability of 0.5105 of observing actual shares/expected shares of 0.9937 or less.
In other words: If you did the same thing for one hundred other group of 30 blocks, you'd get better luck 51.05% of the time (and worse luck 49.95% of the time).
So the 30 blocks that you tested were very close to perfectly neutral luck.