Question

Calculate Spearman’s rank correlation co-efficient from the following data : X : 52 63 45 36 72 65 47 25 Y: 62 53 51 25 79 43 60 33

Answer 1

		Rank
X	Y	X	Y	d	d^2
52	62	4	2	2	4
63	53	3	4	-1	1
45	51	6	5	1	1
36	25	7	8	-1	1
72	79	1	1	0	0
65	43	2	6	-4	16
47	60	5	3	2	4
25	33	8	7	1	1
N=8				\(d=0\)	\(d^2=28\)

p=1-[6\(d^2\)/N(N^2-1)]

=1-[6×28/8×(8^2-1) ]

=1-[168/504]

=0.6667