Now, when I first saw this, I hypothesized that the number of mistakes would go down roughly with edit distance. Not exactly true, see for yourself:
https://docs.google.com/spreadsheet/ccc?key=0Ao73DTH98IRgdC1...
I used a perl module (http://search.cpan.org/dist/Text-Levenshtein/Levenshtein.pm) to calculate the edit distances.