In order to show that certain judges had a bias for Adelina vs Yuna, I looked at the average, standard deviations and z scores for their marks they received in the free skate. The z score is calculated by the sample-mean/standard deviation and is a measure for how far off the average a certain judge was. The first thing to note is that the standard deviation for Adelina is higher which is suspicious. The difficult in determining inflating scores is that judges are not identified. A judge should remain consistent throughout his or her judging and should not vary from one program; however, inherently certain judges are tougher judges and some are easier. If we assume that Yuna was judged fairly we can establish a baseline z-score to determine how "tough" a judge is relative to the other judges. If the judges were fair and remained consistent they should relative to other judges remain just as "tough". If a judge has a low z score that demonstrates the judge is just a more difficult judge, not necessarily that he was penalizing a certain skater. However, when one calculates the Z scores for Adeline, there five judges that were significantly less tough on Adelina, one judge in particular showed a 604% jump. Four judges demonstrated a 100% or higher increase while the other five were relatively consistent. The total sum of increase for Adelina was 1078% in terms of "ease of judging". It is in fact interesting that the judges who demonstrated the largest jumps were the judges who seemed to be right around the average. The fix was intelligent as they did not grade on either extreme. The numbers never lie.
Adelina Sotnikova
Element Z Score Component Z Score Total Z Score
16 -1.235069563 44.25 -1.2836263 60.25 -1.298440577 Judge 8
15 -1.414353854 45.5 -0.523584412 60.5 -1.261692259 Judge 3
19 -0.697216689 45 -0.827601167 64 -0.747215804 Judge 9
22 -0.159363815 44.25 -1.2836263 66.25 -0.41648094 Judge 4
22 -0.159363815 48 0.996499364 70 0.134743834 Judge 1
26 0.557773351 47.75 0.844490987 72.25 0.465478698 Judge 5
26 0.557773351 46.5 0.084449099 72.5 0.502227016 Judge 6
29 1.095626225 47.75 0.844490987 76.75 1.126948426 Judge 2
31 1.454194808 48.25 1.148507742 79.25 1.494431608 Judge 7
Average 22.88888889 46.36111111 69.08333333
Standard Deviation 5.57773351 1.644646196 6.803032412
Yuna Kim
17 -1.067521025 42 -2.192964157 59 -1.664406808 Judge 2
17 -1.067521025 45.25 -0.558716983 62.25 -0.961390214 Judge 4
18 -0.747264718 46.75 0.195550944 64.75 -0.420608219 Judge 7
20 -0.106752103 46 -0.181583019 66 -0.150217221 Judge 8
20 -0.106752103 47 0.321262265 67 0.066095577 Judge 5
19 -0.42700841 48 0.82410755 67 0.066095577 Judge 9
22 0.533760513 45.75 -0.307294341 67.75 0.228330176 Judge 1
24 1.174273128 48.75 1.201241513 72.75 1.309894167 Judge 3
26 1.814785743 47.75 0.698396228 73.75 1.526206965 Judge 6
Average 20.33333333 46.36111111 66.69444444
Standard Deviation 3.122498999 1.988683261 4.622934974
% Change in Z Score
-0.219877874
0.312362286
0.776512609
1.772524597
1.038621027
6.042509003
1.199564792
-0.139664521
-0.020819822
Sum 10.78255192
Yeah the formatting isn't excel friendly, but all the numbers are there.
Adelina Sotnikova
Element Z Score Component Z Score Total Z Score
16 -1.235069563 44.25 -1.2836263 60.25 -1.298440577 Judge 8
15 -1.414353854 45.5 -0.523584412 60.5 -1.261692259 Judge 3
19 -0.697216689 45 -0.827601167 64 -0.747215804 Judge 9
22 -0.159363815 44.25 -1.2836263 66.25 -0.41648094 Judge 4
22 -0.159363815 48 0.996499364 70 0.134743834 Judge 1
26 0.557773351 47.75 0.844490987 72.25 0.465478698 Judge 5
26 0.557773351 46.5 0.084449099 72.5 0.502227016 Judge 6
29 1.095626225 47.75 0.844490987 76.75 1.126948426 Judge 2
31 1.454194808 48.25 1.148507742 79.25 1.494431608 Judge 7
Average 22.88888889 46.36111111 69.08333333
Standard Deviation 5.57773351 1.644646196 6.803032412
Yuna Kim
17 -1.067521025 42 -2.192964157 59 -1.664406808 Judge 2
17 -1.067521025 45.25 -0.558716983 62.25 -0.961390214 Judge 4
18 -0.747264718 46.75 0.195550944 64.75 -0.420608219 Judge 7
20 -0.106752103 46 -0.181583019 66 -0.150217221 Judge 8
20 -0.106752103 47 0.321262265 67 0.066095577 Judge 5
19 -0.42700841 48 0.82410755 67 0.066095577 Judge 9
22 0.533760513 45.75 -0.307294341 67.75 0.228330176 Judge 1
24 1.174273128 48.75 1.201241513 72.75 1.309894167 Judge 3
26 1.814785743 47.75 0.698396228 73.75 1.526206965 Judge 6
Average 20.33333333 46.36111111 66.69444444
Standard Deviation 3.122498999 1.988683261 4.622934974
% Change in Z Score
-0.219877874
0.312362286
0.776512609
1.772524597
1.038621027
6.042509003
1.199564792
-0.139664521
-0.020819822
Sum 10.78255192
Yeah the formatting isn't excel friendly, but all the numbers are there.