Given that (n = 10) and (sum d^{2} = 20), calculate the Spearman’s rank correlation coefficient.
-
A.
0.121 -
B.
0.733 -
C.
0.879 -
D.
0.979
Correct Answer: Option C
Explanation
The Spearman’s correlation coefficient (rho) is given as:
(rho = 1 – frac{6sum d^{2}}{n(n^{2} – 1)})
= (rho = 1 – frac{6 times 20}{10(10^{2} – 1)})
= (1 – frac{120}{990} = frac{870}{990})
= (0.879)