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Go Back PokerForums.org > General > General Poker Discussion > Standard Deviation?

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Old 04-18-2006, 09:22 PM
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Default Standard Deviation?

Okay this might need to be in the noob section so bear with me here.

From another thread I know WHAT standard deviation is, as far as a definition goes.

However what do the numbers in the stats in PT actually mean? If I'm looking at my SD/100 and SD/Hour what exactly am I looking for, and how would I apply it when looking at my other stats?

For example my SD/100 at 36,600 hands is 15.84...when I look at this I should be saying to myself.....what?

What about SD/100...is/are there any comparisons I should be making between the 2 numbers?

Is there a point when you should look at those numbers and say "whoa this is crazy" whan comparing the 2?

I'm not a math whiz by any stretch of the imagination so if anyone can lay it on me in simple terms I'd appreciate it.
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Old 04-18-2006, 09:50 PM
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Standard deviation is the average difference from the average...
So if you make $10/hr playin poker and your standard deviation is $3, half the time you'll make between $7 and $13/hr, the other half you'll be outside that range.
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Old 04-18-2006, 10:44 PM
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Fish, the first standard deviation (and correct me if I'm totally wrong, but in my research this is what I have learned, since a few years ago, I had the identical questions as Pok7's) is around 80-90% I believe, not 50%.

Somebody is goign to have to link a good statistics page so we can all learn.

I can say this though, The 300bb rule for limit bankrolls is based on a 3bb/100 WR with a SD of 20/100 (this leads me to believe the 90% is the first SD, since very rarely do we play outside of +23 to -17 WR range). So if you have a WR around 3/100 a lower SD below 20 is good, while higher is 'bad'. So if you have a WR of 4/100 and a SD of 15/100, you could be playing with a bakroll of 150-200 bb's (somebody can crunch the numbers). Personally, my 3.5/100 and 17 SD allows me to play limit with a bank of 180 bb's, but I choose not too, I have gone broke too many times.

SD by defintion is a measurement of short term luck. If you have them, Malmuth goes into some analysis of SD in his Poker Essays books.
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Old 04-19-2006, 01:20 AM
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"Standard Deviation:
The standard deviation is the square root of the average squared deviation from the mean. Ex - The standard deviation of the Year 2 Internal Medicine scores was 6.9; therefore, we can conclude that 68% of the class fell within plus or minus 6.9 points of the mean."

I'm kinda ashamed I got this one wrong, I'm taking a Probability and statisitcal inference class right now. I did some reading my in my book and the exact % of your sample within the range [mean +/- standard deviation] will actually vary somewhat, but on your basic bell curve seems to be 68%
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Old 04-19-2006, 07:55 AM
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i knew i shoulda paid attention during math class
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Old 04-19-2006, 08:01 AM
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If I'm not mistaken, I believe that 96% of the time, X falls within 2 standard deviations of the mean, and as FoD said, X falls within 1 SD 68% of the time.
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Old 04-19-2006, 10:00 AM
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Lets say that you're average earnings/hour is $20. After 5 hours you've made $20 in 1, $22 in 2, $25 in 3, $17 in 4 and $16 in 5.

So 1 SD would = 3.3 (using calculations, i didnt jst make that up)

That means that if your SD in 1 hour is 1 then you can vary from $3.3 +/- of the average about 68%% of the time.

If you're SD = 2 then you vary from $6.6 +/- of the average 96% of the time and:

If you're SD = 3 then you will vary from $9.9 +/- the average 99.7% of the time.

It basically tells you the likelyhood of variance from your average score.
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Old 04-19-2006, 10:23 AM
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Quote:
Originally Posted by Pok 7's
For example my SD/100 at 36,600 hands is 15.84...when I look at this I should be saying to myself.....what?
So in this example, his variance would be +/- 15.84 BBs, 68% of the time?
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Old 04-19-2006, 10:32 AM
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Quote:
Originally Posted by Go Fish
So in this example, his variance would be +/- 15.84 BBs, 68% of the time?
what is the SD/100 i don't get that.. is that you're standard deviation for money made per 100 hands? if it is then mayb it is every 100 hands he makes +/- $15.84 68% of the time which is the variance. That would make sense.



ask me about graph if confused

Last edited by pates; 04-19-2006 at 10:39 AM.
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Old 04-19-2006, 01:13 PM
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This seems to imply that his variance is the same in the negative direction as in the positive. I've found that I generally win larger hands(albeit less frequently) than I lose.

So(making these numbers up) if I tend to vary between -$5 and +$20 per 100 hands, 68% of the time, then what would be my standard deviation?
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