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Old 11-08-2005, 02:47 PM
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Default Some interesting statistics on ROI variance

This is an example intended to help anyone who does not fully understand how significant variance can be over large numbers of games. I know it is talked about ad nauseum here, but it still seems to be underestimated by many and since it is probably the single most important concept for any player who wants to take their game seriously to understand, I though I would share some interesting statistics.


In an attempt to understand what a difference a weekend can make, I played at nearly identical times over the past two weekends:

Last weeked
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SNGs: 700
ROI: 25.7%
Variance within any given 100-game sample: 61%

This weekend
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SNGs: 750
ROI: 3.4%
Variance within any given 100-game sample: 76%


After studying the differences between the two sets it appears that the main reason for the difference was that I was getting lucky in the early game with a significant # of double-ups and large pots so that I was coming into the middle-game with far mor chips than this weekend, where I was also underperforming on the bubble (even in relation to my low chipstack).


Obviously this is an extreme example, but the point being that to many players 750 SNGs represents many weeks (or even months) of playing and that even 1,000 sngs is truly insignificant in terms of ROI. Over my last 10,000 SNGs I have found that any given sample of 1,000 tournaments has a variance of roughly 17%. I potentially play a style that aggravates the variance a bit, but in other ways I am less prone than most.


So what I find the most difficult about poker is when making adjustments to our game, how do we determine whether or not these new "plays" or "styles" actually gave us any improvement? I think it is actually impossible in the short-term (at least with the resources most of us have). For me this is the reason why poker is both so compelling and so hideously aggravating!


-asimo

dedicated to freeing the Variance Slaves!
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