Question

Calculate Spearman's Rank Correlation Coefficient between the following marks given by 'two' judges (A) and (B) to •eight' contestants in the elocution competition:

Contestants	1	2	3	4	5	6	7	8
Marks by A	81	72	60	33	29	11	56	42
Marks byB	75	56	42	15	30	20	60	80

Answer 1

1	2	3	4	5	6	7
contestants	Marks by A	Marks by B	Rank of A (R1)	Rank of B R2	D = R1 - R2	D2
1	81	75	1	2	-1	1
2	72	56	2	4	-2	4
3	60	42	3	5	-2	4
4	33	15	6	8	-2	4
5	29	30	7	6	1	1
6	11	20	8	7	1	1
7	56	60	4	3	1	1
8	42	80	5	1	4	16
Total						32

From the table ∑ d²=32 

`therefore "R" = 1-(6 sum "d"^2)/("n"("n"^2 - 1))`

`= 1 - (6 xx 32)/(8(64 - 1))`

= R = 0.619