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42P-43: more data

Posted By: Daniel Murphy
Date: Saturday, 13 February 2010, at 6:04 p.m.

In Response To: 42P-43: more data (Nack Ballard)

(3) This is a reminder of how much variance there still is in 5k or 10k trials (whatever bots may claim about the confidence interval).

I don't disagree with anything you wrote, Nack, but would point out that because of the confidence intervals, the disparate Snowie results shouldn't be too surprising. Snowie doesn't report the 95% confidence interval for the Janowskie-adjusted equities, but I think we can assume that they are about the same as the live cube equities. In which case, we have:

Play 1st rollout (Stick) 2nd rollout (Paul)

24/20 13/10

-0.285 ±0.014 -0.297
13/9 13/10 -0.305 ±0.014 -0.294

In other words, the equities found in Paul's rollout are within the 95% confidence intervals reported in Stick's rollout. Nothing out of the ordinary there. Stick's rollout said the equity of 24/20 13/10 is likely to be somewhere between -0.299 and -0.271. In Paul's rollout it was -0.297. Stick's rollout said the equity of 13/9 13/10 is likely to be somewhere between -0.319 and -0.291. In Paul's rollout it was -0.294.

The two rollouts are somewhat unusually different, however, if we look at the money cubeless equities:

Play 1st rollout (Stick) 2nd rollout (Paul)

24/20 13/10

-0.198 ±0.006 -0.207
13/9 13/10 -0.216 ±0.006 -0.208

The 95% confidence intervals in Stick's rollout were ±0.006, but the cubeless money equities in Paul's rollout differed a bit more than that, 0.008 and 0.009.

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