vpFREE2 Forums

What is the "long term"?

"brumar_lv" <brumar_lv@...> wrote:

There may be no "perfect" definition, but this might work. The long
term is the number of games where a normal approximation applies ( to

Does anyone know what the formula is? I've looked, but can't find
it. Perhaps someone has a different definition? I know this is

Standard statistical tests for the equality of two probability distributions include the Kolmogorov-Smirnov test, Anderson-Darling test, and Wilk-Shapiro test. Here are Wikipedia links:

K-S: <http://en.wikipedia.org/wiki/Kolmogorov-Smirnov_test>
A-D: <http://en.wikipedia.org/wiki/Anderson-Darling_test>
W-S: <http://en.wikipedia.org/wiki/Shapiro-Wilk_test>

Here are links to the NIST's online Engineering Statistics Handbook:

K-S: <http://www.itl.nist.gov/div898/handbook/eda/section3/eda35g.htm>
A-D: <http://www.itl.nist.gov/div898/handbook/eda/section3/eda35e.htm>
W-S: <http://www.itl.nist.gov/div898/handbook/prc/section2/prc213.htm>

I might be able to produce some numbers for a few games with some more caffeine and motivation.

N0 gives you a definite number that I guess is useful, but it doesn't tell you how close you are to a normal distribution. Concluding there's an 84% probability that you will be in positive territory for a positive game assumes what brumar would like to prove. Still, that number probably isn't too far off for most games.

Mike

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Michael Peck
http://wildlife-pix.com