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View Full Version : How many hands do you need to determine true win rate?


snowbank
10-22-2005, 12:26 AM
Within like .25 bb/100?

jason_t
10-22-2005, 12:27 AM
299,792,458

toss
10-22-2005, 12:32 AM
A lot. Like a million.

shant
10-22-2005, 12:33 AM
75,000

snowbank
10-22-2005, 12:34 AM
Any rough estimate how many someone would need to determine if they should move up a level? For example, I'm just starting to play limit having only played NL to this point. Starting at 1/2 6 max, but want to move up as fast as possible. How many hands do I need to know I can beat a level before I move up?

10-22-2005, 12:37 AM
20,000 is always a nice, round number. Or do it the old fashioned way, give yourself a 300 BB roll for 1/2 and then move up the next level everytime you have 400-500 BB for the next jump up.

toss
10-22-2005, 12:38 AM
Its not really about how many hands. If you want to move up as fast as you can, move up as soon as you have 300 BB. Only you can really tell if youre good enough.

jason_t
10-22-2005, 12:39 AM
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75,000

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Get on AIM you fool so I can invite you to come out drinking.

clownshoes
10-22-2005, 12:40 AM
Atleast like, a thousand.
So post a screenshot of your winrate because its going to be awesome

jason_t
10-22-2005, 12:42 AM
Seriously guys, this is the right answer.

partygirluk
10-22-2005, 12:46 AM
It depends on your Standard Deviation (which depends upon your style of play, the games you play in etc).

10-22-2005, 12:51 AM
This is a good benchmark that I stole from MrWookie from Micros
[ QUOTE ]
My personal metric is, for play at a particular level, to know to within two standard errors (about 98% confidence) that I am a winning player. That is, that my win rate is twice or more as big as the uncertainty of my win rate. To compute the uncertainty of your win rate, take your standard deviation per 100 hands, usually about 15 BB/100, and divide it by the square root of the number of hands you’ve played divided by 100 (the number of 100 hand blocks you’ve played). Playing 20,000 hands with this standard deviation will yield an uncertainty in your win rate of 1.06 BB/100. Thus, you’d need a win rate of 2.12 BB/100 to know with 98% confidence that you were a winning player. Depending on your personal level of boldness or paranoia, you may be satisfied with 84% confidence (uncertainty = win rate) or 99.9% confidence (uncertainty = win rate / 3). Of note is that 20,000 hands at a win rate of 2.12 BB/100 will net you 424 BB, which, combined with the 300 BB you started with, gives you a bankroll sufficient to play at twice the current limit. An interesting side effect of this metric is that players who are truly crushing a particular level will advance more quickly, since they will need fewer hands to reduce their uncertainty to half (or whatever) their win rate, while players winning less are encouraged to stick around longer, hopefully learning new lessons that bring their win rate up along the way.

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Borodog
10-22-2005, 12:54 AM
[ QUOTE ]
299,792,458

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Geek. What's worse is that it hurts me to see it without units.

jason_t
10-22-2005, 12:56 AM
[ QUOTE ]
[ QUOTE ]
299,792,458

[/ QUOTE ]

Geek. What's worse is that it hurts me to see it without units.

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The units is number of hands.

Borodog
10-22-2005, 01:07 AM
[ QUOTE ]
[ QUOTE ]
[ QUOTE ]
299,792,458

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Geek. What's worse is that it hurts me to see it without units.

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The units is number of hands.

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Is they?

Evan
10-22-2005, 01:11 AM
I hope I'm around to see the mass suicide that ensues when you all find out these t tests and stochastic models you're in love with are complete bull [censored] in this circumstance.

(This reply isn't really directed as snowbank in particular)

jason_t
10-22-2005, 01:17 AM
[ QUOTE ]
[ QUOTE ]
[ QUOTE ]
[ QUOTE ]
299,792,458

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Geek. What's worse is that it hurts me to see it without units.

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The units is number of hands.

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Is they?

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Of course. He asked for a number of hands. omg.

sthief09
10-22-2005, 11:49 AM
here I'll show you how to do it. your sample's SD is (Sample SD in BB/100)/Sqrt(Hands/100). you want 3 SD's since that represents the statistically significant region.

you can use excel to find it for you.

in A1 put your SD in BB/100. 18 is pretty typical
in A2 put an arbitrary number. this will represent the # of hands
in A3 put =A1/SQRT(A2/100)*3

then go to tools-goal seek:
Set Cell: A3
To Value: .25
By changing cell: A2

your answer will be in A2. I'm getting about 4.7 million

sthief09
10-22-2005, 11:50 AM
[ QUOTE ]
I hope I'm around to see the mass suicide that ensues when you all find out these t tests and stochastic models you're in love with are complete bull [censored] in this circumstance.

(This reply isn't really directed as snowbank in particular)

[/ QUOTE ]


if you're talking about Justin's findings, he hasn't found anything yet really. it's skewed. we don't really know why that is. it should still be more or less accurate.