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Confidence Interval Overlap vs Joint Standard Deviation (long)

Posted By: Bob Koca
Date: Saturday, 31 October 2009, at 9:31 p.m.

In Response To: Confidence Interval Overlap vs Joint Standard Deviation (long) (neilkaz)

If there are two plays, there is a matched dice stream, and the number of trials are the same then I would look at it as a matched pairs. Look at result 1 for play A and result 1 for play B and calculate the difference, look at result 2 for play A and for play B and calculate the difference, .... With that list of numbers the average difference gives the estimate for the equity difference in the two plays and the std dev of that list gives the estimate's std dev.

I think that the reported joint std dev is usually an underestimate due to positive correlation. Especially if there is a race likely soon, good dice streams for play A will be similar to those for play B.

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