Calculate Rank Correlation:X 77 54 27 52 14 35 19 25 56 60Y 35 58 60 40 50 41 36 56 34 42
X | Y | R1 | R2 | D (R1 - R2) | D2 |
77 | 35 | 10 | 2 | 8 | 64 |
54 | 58 | 7 | 9 | -2 | 4 |
27 | 60 | 4 | 10 | -6 | 35 |
52 | 40 | 6 | 4 | 2 | 4 |
14 | 50 | 1 | 7 | -6 | 36 |
35 | 41 | 5 | 5 | 0 | 0 |
19 | 36 | 2 | 3 | -1 | 1 |
25 | 56 | 3 | 8 | -5 | 25 |
56 | 34 | 8 | 2 | 7 | 49 |
60 | 42 | 9 | 6 | 3 | 9 |
|
|
|
|
| ∑ D2 = 228 |
R = 1- (6∑ D2)/(N3 – N)= 1- (6 × 228)/(103 – 10)
R = 0.38
Thus, the value of rank correlation coefficient is 0.38