jjy on Thu, 14 Oct 2004 11:54:08 -0500 (CDT)


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Re: [eia] Prussian rolls at Leipzig


Joel, I think maybe you're taking Mike's statement more seriously than he 
intended it.  Thanks for checking, though.

-JJY

Quoting Joel Uckelman <uckelman@xxxxxxxxx>:

> Thus spake Michael Gorman:
> >
> > Sigh.  I'm going back to the pbm dice server.  It likes me.  The nomic one
> 
> > always rolls bad.
> 
> In the interest of fairness, I decided to do some analysis on the dice
> server's random number generator to make sure that it's working properly.
> 
> I took a sample of 1m rolls of a d2, converted that to bytes, and ran it
> through Ent. Here's what I got:
> 
> 
> [uckelman@scylla tmp]$ ./ent <c
> Entropy = 7.996935 bits per byte.
> 
> Optimum compression would reduce the size
> of this 62501 byte file by 0 percent.
> 
> Chi square distribution for 62501 samples is 267.50, and randomly
> would exceed this value 50.00 percent of the times.
> 
> Arithmetic mean value of data bytes is 127.1886 (127.5 = random).
> Monte Carlo value for Pi is 3.166282642 (error 0.79 percent).
> Serial correlation coefficient is -0.008664 (totally uncorrelated = 0.0).
> 
> 
> Conclusion: These are very close to the values you'd get from a large, true
> random sample, say from a radioactive source. Recall that the reason I set
> up
> my own dice roller was due to the excessive latency of the one at pbm.com; I
> doubt that that's changed, so I'd recommend sticking with mine. It's up to
> you, though.
> 
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> 


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