- Joined
- Jun 21, 2003
It was absolutely connected with statistics, i don't understand how is not. If only average scores were implemented, without taking out maximum and minimum, Chinese team would win the Olympics.
I am just not seeing it.
I went over the protocols for the 2018 Olympic pairs LP. Using the trimmed mean, Sui and Han outscored Savchenko in PCS by 3.32 points. Using the untrimmed mean (all nine judges' scores), Sui and Han's margin changes to 3.41 points. The difference between discarding the highest and lowest scores and NOT discarding the highest and lowest scores is 0.09 points --less than a tenth of a point.
(Where Savchenko and Massot won was on TES, where they were almost 5 full points ahead of Sui and Han. in base value.)
Here are the numbers (untrimmed in parentheses).
Savchenko and Massot:
SS 9.21 (9.25), Tr 9.04 (9.03). Perf 9.32 (9.31). Ch 9.21 (9.22), Int 9.14 (9.17)
Factored total: 73.47 (73.57)
Sui and Han:
SS 9.57 (9.56), Tr 9.46 (9.44), Perf (9.54 (9.47), CH 9.71 (9.69), Int 9.71 (9.72)
Factored total 76.79 (76.98)
If you look at the range and distribution of the numbers on an actual protocol sheet it is instantly clear (at least, so it seems to me) that the numbers will ALWAYS come out like this, with no more than a fraction of a point overall difference between the trimmed and the untrimmed mean. Except, as I keep trying unsuccessfully to say
, the truly outlandish outlier (0.75 instead of the intended 9.75 caused by a data entry error.Furthermore, the Chinese judge was by no means always the highest for S&M or always the lowest for S&H. He was disciplined bu the ISU for accruing too many "anomalies" (scores outside the "corridor" as defined by the ISU judges' review procedure.) This is interpreted as showing apparent consistent bias or incompetence over many competitions and leads to penalties.
Anyway, bottom line, we are arguing over statistical conventions that amount to only tenths or hundredths of a point -- about the same order of magnitude as the rounding errors that arise in in computing the total PCS from the 5 individual components.
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But I'm pretty sure the bias is proved by looking at the absolute scores of the judge. You can take away the scores of that (or any other) individual judge to see if it would change the results. Or add another of him/her for the same purpose. The trimmed mean is used not to let those scores affect the results, if may ?!