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The "round to even" does NOT produce a bias
Authored by: peterneillewis on Dec 12, '05 07:29:24PM

To say this is a lazy analysis while providing such a flawed analysis is impressive. If you sum the changes from 0-4 rounding down and 5-9 rounding up, you get 0 + 1 + 2 + 3 + 4 for rounding down (total 10) and 5 + 4 + 3 + 2 + 1 for rounding up (total 15). On the other hand, if you round to even, then the total changes for rounding down is 0 + 1 + 2 + 3 + 4 + (half of 5), and for rounding up is (half of 5) + 4 + 3 + 2 + 1, which you will note is 12.5 for both.

Rounding to even does generate a bias in the distribution towards even numbers, but for most purposes a slight bias towards even numbers is better than a slight bias upwards.



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