Calculate rank correlationX 4 6 8 10 12 14 16 18Y 10 15 20 25 30 45 35 42
X | Y | R1 | R2 | D (R1 - R2) | D2 |
4 | 10 | 1 | 1 | 0 | 0 |
6 | 15 | 2 | 2 | 0 | 0 |
8 | 20 | 3 | 3 | 0 | 0 |
10 | 25 | 4 | 4 | 0 | 0 |
12 | 30 | 5 | 5 | 0 | 0 |
14 | 45 | 6 | 8 | -2 | 4 |
16 | 35 | 7 | 6 | 1 | 1 |
18 | 42 | 8 | 7 | 1 | 1 |
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| ∑ D2 = 6 |
R = 1- (6∑ D2)/(N3 – N)= 1- (6 × 6)/(512 – 8)
R = 0.93
Thus, the value of rank correlation coefficient is 0.93