Question

If $\sum d_i^2=25$, $n=6$ find rank correlation coefficient where $d_i$ is the difference between the ranks of $i^{th}$ values.

Answer 1

Given that:

$\sum d{i}^2=25$, $n=6$

The rank coefficient is given by

$r=1-\frac{6\sum d{i}^2}{n(n^2-1)}$

$r=1-\frac{6\times 25}{6(6^2-1)}$

$r=1-\frac{5}{7}$

$r=\frac{2}{7}.$

This is the required solution.