6.9 Rank Correlation

Competitor Judge_1 Judge_2 rank_1 rank_2
1 20 15 1 4
2 18 20 3 1
3 16 14 5 5
4 17 13 4 6
5 15 18 6 2
6 12 10 9 8
7 11 17 10 3
8 19 9 2 9
9 14 12 7 7
10 13 8 8 10

Coefficient, \(\rho = 1- \frac{6 \sum d_i^2}{n(n^2-1)}\)