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42P-43: more data

Posted By: Nack Ballard
Date: Sunday, 14 February 2010, at 7:46 p.m.

In Response To: 42P-43: more data (Chuck Bower)

Thanks for setting me straight on that, Chuck, and I'm actually relieved to find this out. I have been assuming (basically, forever) that the confidence intervals were reported for the primary output. This means that the bots' intervals aren't nearly as underreported as I thought (but I still believe they are underreported).

That said, I do not believe that cube-adjusted values carry the same confidence interval (if it can be measured) as live-cube rollouts do. After comparing numerous (Snowie and Gnu) live cube results and (Snowie) cube-adjusted results of independent rollouts of the same positions, it is obvious to me (and Stick, who has also seen a tons of rollout results) that the live cube ones create significantly larger discrepancies between margins on average.

In short, while I now feel sure that you and Daniel are right that .0065 (for 5k) is wrong to apply to cube-adjusted equities (because they're cubeless!), I also continue to believe it's wrong to assume that the +/-.014 confidence interval for live cube is the same for the cube-adjusted equities that were applied to the Stick and Paul rollout results I presented, and (addressing the other incongruency in Daniel's comparison) the interval for the 10k rollout's plays are of course lower than those of the 5k rollout.

If I had to estimate a confidence interval for cubeful equities that is in line with .0065 for 5k cubeless and .014 for 5k live cube, I would guess it to be .009. I'm basing this on a large sample of early game positions for which cube-adjusted equities are on average cubeless times 1.4 (and don't deviate in either direction much from that), and applying that 1.4 multiple to the .0065.

Nack

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