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-   -   My chance of being a winner? (http://archives2.twoplustwo.com/showthread.php?t=116645)

Rudbaeck 08-25-2004 11:52 AM

My chance of being a winner?
 
Since I bought PokerTracker I've played 21,415 hands, I've won 2.63BB/100, and have a standard deviation of 16.7454BB/100.

How do I calculate the confidence interval of me being a long term winner?

NUReedy 08-25-2004 12:04 PM

Re: My chance of being a winner?
 
You can be 95% confident your true BB/100 hands is within
[2.63 - 1.96(16.745/sqrt(21415), 2.63 + 1.96(16.745/sqrt(21415)]
OR
[2.405, 2.854]

Rudbaeck 08-25-2004 12:28 PM

Re: My chance of being a winner?
 
Thank you. [img]/images/graemlins/smile.gif[/img]

Rudbaeck 08-25-2004 12:54 PM

Re: My chance of being a winner?
 
Giving it some more thought, shouldn't the divisor be sqrt(214.15)?

Both win rate and sd are calculated for sets of 100, so reasonably we should count how many sets of 100 I have?

That would give a 95% confidence interval that I am within a deviation of 2.63+-1.96(16.7454/sqrt(214.15))=2.63+-2.24

Nottom 08-25-2004 01:27 PM

Re: My chance of being a winner?
 
[ QUOTE ]
Giving it some more thought, shouldn't the divisor be sqrt(214.15)?

[/ QUOTE ]

yes

[ QUOTE ]
That would give a 95% confidence interval that I am within a deviation of 2.63+-1.96(16.7454/sqrt(214.15))=2.63+-2.24

[/ QUOTE ]

This is probably about right, now you see why people are always saying you need many many many hands to have even a reasonable estimate of your true winrate.


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