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Standard deviation?
What is standard deviation and how is used in defining a player? What other important formulas should i consider while at poker table?
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#2
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Re: Standard deviation?
square root of variance
it isn't wtf formulas? |
#3
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Re: Standard deviation?
Var(x) = (x-mean)^2/n{sum over all x's}
n=number of elements in your sample . ie 1,3,6,7,9 n=5 mean = 5.2 which is the average of all the numbers. x1=1,x2=3,x3=6,x4=7,x5=9 Therefore [(1-5.2)^2+(3-5.2)^2 +(6-5.2)^2+(7-5.2)^2+(9-5.2)^2]/5 =var Now st(x)= sqrt of the number computed above . or even better use var(x)=x^2{sum over all x's} - mean ^2 When n is sufficiently large , over 30 , the standard deviation can tell you how close your data is from the mean . ie 1 standard deviation from the mean contains 68 % of the data 2 standard deviations contains around 95 % of the data . |
#4
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Re: Standard deviation?
Standard deviation (per hour) is a statistical measure of dispertion of data (hours or n from above). Standard deviation measures the so-called "swings" of the game in a definite, rather than relative, way. Almost all results will be within 3 standard deviations of the arithmetic mean (winrate per hour).
The most important way to define a player when considering the standard deviation is the relationship between the winrate, or possibly game size, and standard deviation. Consider two experts of the same skill. If one either has a smaller bankroll or less of a willingness to live a volatile financial life, he may choose to avoid marginally correct plays. In so doing, he will lower his winrate for sure, but lower his standard deviation both in a definite and relative sense. I love twoplustwo poker texts! |
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