xi |
yi |
Ri |
Ry |
di |
di2 |
35 |
40 |
9.5 |
9 |
0.5 |
0.25 |
54 |
60 |
8 |
8 |
0 |
0 |
80 |
75 |
5 |
4 |
1 |
1 |
95 |
90 |
1 |
2 |
-1 |
1 |
73 |
70 |
6.5 |
7 |
-0.5 |
0.25 |
73 |
75 |
6.5 |
4 |
2.5 |
6.25 |
35 |
38 |
9.5 |
10 |
-0.5 |
0.25 |
91 |
95 |
2 |
1 |
1 |
1 |
83 |
75 |
3 |
4 |
-1 |
1 |
81 |
71 |
4 |
6 |
-2 |
4 |
|
|
|
|
|
\(\sum d_i^2 = 15\) |
spearman's rank co-relation coefficient
is \(\rho\) = 1 - \(\frac{6\sum d_i^2}{n(n^2-1)}\) = \(1-\frac{6\times15}{10\times99}\) = 1 - \(\frac1{11}\) = \(\frac{10}{11}\)