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Verifying Randomness

Posted By: Tom Keith
Date: Thursday, 12 August 2010, at 12:45 p.m.

In Response To: Verifying Randomness (Casper van der Tak)

Proof is not the same as certainty. You can have different levels of proof.

In law you can have proof "beyond a reasonable doubt," "clear and convincing evidence," or a "preponderance of evidence." All of these are weaker than proof "beyond a shadow of a doubt."

In statistics, you can have a 95% confidence interval, 99%, or even 99.999%.

Jason was speaking of statistical proof. And the answer is yes, you can prove, statistically, that dice are nonrandom. The only caution is that if the dice are close to being random it may require collecting a huge amount of data. (Also you need a theory as to how the dice are nonrandom.)

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