June 18, 2009

Damn Mahmoud, you don't remember Benford's Law?!

Statistics for the win.

I won't go into to much explanation since Nate does, but check this out. Benford's Law says that, with remarkably few assumptions, an extremely wide range of types of data all exhibit similar patterns when it comes to their values' first digit.

So whether you're talking about the number of people living in each of America's counties or the distance between Earth and each of the Universe's objects, if you took your entire list and only kept the first digits, the proportion of 1s would be about the same on both lists, and the same for 2s, etc. (This sort of makes sense - there are probably more counties with 10-19 people than 90-99, more with 100-199 than 900-999, more with 100,000-199,999 than 900,000-999,999, etc.)

Long story short, Nate's analysis appears to show that one of Ahmadinejad's opponent's vote totals per county(?) behaved extremely well according to Benford's Law - except there were far too many 7s ...

1 comment:

  1. You can see an interesting video about Benford's Law here. Includes an example of how Benford's Law can detect fraud.

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