Twill wrote:Tests that have been run on random.org data:
* Frequency Test: Monobit
* Frequency Test: Block
* Runs Test
* Test for the Longest Runs of Ones in a Block
* Binary Matrix Rank Test
* Discrete Fourier Transform (Spectral Test)
* Non-Overlapping Template Matching Test
* Overlapping Template Matching Test
* Maurer's Universal Statistical Test
* Linear Complexity Test
* Serial Test
* Approximate Entropy Test
* Cumulative Sums Test
* Random Excursions Test
* Random Excursions Variant Test
* A chi-square test
* A test of runs above and below the median
* A reverse arrangements test
* An overlapping sums test
* A binary rank test for 32×32 matrices
The document pluto linked to is 107 pages of graduate level mathematician thesis work proving the randomness of random.org
I personally started running Magdoogles battery of tests but our dice file was too big and crashed my computer so I didn't try again
And the M guy isn't THE DEFINITIVE SOURCE for random stuff...the
NIST battery of tests (provided by the ever so efficient US gov't) is just as highly respected and incorporates some of Mdoodle's tests.
Random.org passed all of those tests.
If you need visual aids:
Random but not "realistically random" should be debunked by this:
which shows the output of all the files are relatively evenly distributed within expected random variation. If the dice weren't "realistically" random, the tops of the different colour bars wouldn't come so close to matching.
If you'd rather us use a pseudo-random number generator, without spending millions of dollars (because we all know we're ROLLING in cash charging what we do) we could always use the built in rand () function in PHP...but then we'd get something like the image on the right...
On the left is random.org...one seems a little more random than the other, no?
Granted, these have been provided by random.org...but I have personally watched some of the dice's most ardent critics (who are actually mathematicians) run analyses on the dice and come up with the same conclusion.
You roll thousands and thousands of dice here. Hulmey, you have personally probably rolled more than 50,000 dice here (762 games, assuming 10 rounds per game, 3 rolls per round, 2 dice per roll...at a conservative guess). How many do you think you have rolled in real life?
Yes, you WILL see odd combinations and streaks here but you also play a LOT more games and roll a LOT more dice meaning you a re a LOT more likely to see them.
Again, if anyone can give me a test they want me to run on the file, please, do send it to me, I'd be happy to run it for you to prove once and for all that the dice are random.
Posted: Tue Sep 09, 2008 2:58 am
