On the "science" behind the International Gymnastics Federation's tie-breaking rules

provided here. For starters, the highest and lowest scores provided by 6 judges are tossed out so the “execution” score is based upon the average of the remaining four scores. Effectively, the data are “winsorized”, presumably for the purpose of discounting the effects of overly generous and overly miserly judges. Once this calculation has been made, then the first tie-break calculation requires throwing out the highest and lowest deductions from a perfect”execution score of 10 and then averaging the remaining four deductions. If there is a tie after the first tie-break (as there was in this case), then the rules call for a second tie-break in which the highest remaining deduction is thrown out, leaving a total of 3 of the original 6 deductions to averaged. When this calculation was performed, He had an average deduction of .933 versus Liukin’s .966. Liukin lost primarily because after the second pass, she had a higher average deduction among the remaining three judges. He won because her average deduction from 10 by the 3 remaining judges was lower than it was for Liukin.]]>

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