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I've got a statistics question...please somebody who still remembers how to do bell curves & standard deviations, etc., either answer this for me, remind me of the formula to calculate it, or direct me to a thread where this is answered (tried searching/Googling, no luck).
Anyway, my question is this: How many trials does it take for your ROI to be statistically certain and not due to randomness? Obviously this answer will vary depending on the game and the number of players, so I'll give 3 different scenarios:
1.) One-table SNG's
2.) 180-man SNG's
3.) 2k-3k player MTT's
It's clear to me that one-table SNG's will require the least number of trials, that 180-man SNG's will require more trials, and that MTT's will require the most trials (in other words, variance increases as you add more players)...but if you have a 15% ROI after 100 one-table SNG's, is your ROI statistically reliable/valid (i.e. you're more than a couple standard deviations away from the mean)? How about MTT's? Do you need to play 5,000 of them before you know what your statistically true ROI is?
Note I'm not asking for bankroll advice, moving up/down levels, etc. I'd just like to know at what point, for each of the above 3 types of games, I could consider myself a winning player and not just a lucky recipient of positive variance.
Thanks in advance for any answers or pointing me in the right direction,
Blue -
1) 1000
2) 2500
3) 5000 -
If you don`t know if you`re a winner you probably aren`t.
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Not an authority on the calculation of ROI, but you can never be statistacally certain about future results.
I think the best you can do is make an educated hopeful guess.
It's very difficult to play enough MTT's especially, to obtain meaningful figures.
So sorry, can't personly help. -
i'd guess like 500x entrants
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Unfortunately you are on the low end - especially for high stakes... I would say in general though, if you're losing over those given sample sizes you are probably a losing player and vice-versa. But it is definitely possible to be a winning player and lose over those sample sizes and a losing player and winning over those sample sizes.

apestyles is an instructor at PocketFives Training . To get more of his advice and to watch his training videos, click here.
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this
Originally Posted by apestyles
Unfortunately you are on the low end - especially for high stakes... I would say in general though, if you're losing over those given sample sizes you are probably a losing player and vice-versa. But it is definitely possible to be a winning player and lose over those sample sizes and a losing player and winning over those sample sizes.
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I ran some simulations re: variance in 1000 player MTTs a while back. It looked to me like a lot more than 5000 MTTs before any close to accurate ROI estimations could be made. But like apestyles mentioned, you should definitely know if you're a winning player by this point. Obviously if you're talking about 2-3k fields then you're looking at even more variance...
Original thread here - http://www.pocketfives.com/poker-for...62?pageindex=1 -
very enlightening post. thanks for the link.
Originally Posted by m_hawk_1
I ran some simulations re: variance in 1000 player MTTs a while back. It looked to me like a lot more than 5000 MTTs before any close to accurate ROI estimations could be made. But like apestyles mentioned, you should definitely know if you're a winning player by this point. Obviously if you're talking about 2-3k fields then you're looking at even more variance...
Original thread here - http://www.pocketfives.com/poker-for...62?pageindex=1 -
For 1 table SNGs after 3,000 games you can be 95% sure of your true ROI. For more info google jhub3000's blog.
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Cool, guys. Thanks much for some very useful info!
OMG Apestyles wrote something in my thread...my brush with fame, lol. -
Nice link above. As for the OP, a better question is 'what sample size is needed to know my true ROI within a few points', as opposed to, 'am I a winning player'. Remember that the larger edge you have, the smaller the necessary sample size to determine if you are > 0% ROI. It won't take as many games for a 20% player compared to a 5% player to know if they are +EV, but it will take the same sample to determine their true ROI's to within x%.
At the end of the other thread, Stevie posted a [now dead] link to RVG's ROI Simulator. I'm not sure where to find a working link for this, but I have a copy of it if anyone wants to check it out. I've used it to do a little bit of analysis on SNG variance. -
If you don't know if you're a winner, you prob -- oh, wait
nm -
You're absolutely right, that's what I was really looking for the answer to. I will check out the ROI Simulator also, thanks again guys.
Originally Posted by MDG0RD0N
Nice link above. As for the OP, a better question is 'what sample size is needed to know my true ROI within a few points', as opposed to, 'am I a winning player'. Remember that the larger edge you have, the smaller the necessary sample size to determine if you are > 0% ROI. It won't take as many games for a 20% player compared to a 5% player to know if they are +EV, but it will take the same sample to determine their true ROI's to within x%.
At the end of the other thread, Stevie posted a [now dead] link to RVG's ROI Simulator. I'm not sure where to find a working link for this, but I have a copy of it if anyone wants to check it out. I've used it to do a little bit of analysis on SNG variance.
Blue -
if u play teh pokers, u put chip in pot. if u get back, u make teh win!
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