Illustration of rank correlation coefficient, Mathematics

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Illustration of Rank Correlation Coefficient

Sometimes numerical data such refers to the quantifiable variables may be described after which a rank correlation coefficient may be worked out.

Is such a condition, the rank correlation coefficient will be determined after the described variables have been converted into ranks. See the given illustration:

Candidates	Math	r	Accounts	r	d	d2
P	92	1	67	5	-4	16
Q	82	3	88	1	2	4
R	60	5(5.5)	58	7(7.5)	-2	4
S	87	2	80	2	0	0
T	72	4	69	4	0	0
U	60	5(5.5)	77	3	-2.50	6.25
V	52	8	58	7(7.5)	0.5	0.25
W	50	9	60	6	3	9
X	47	10	32	10	0	0
Y	59	7	54	9	-2	4
						Σd² = 43.5

∴ Rank correlation r = 1 - {(6Σd²)/ (n (n² -1))}

= 1 - {(6(43.5))/(10(10² -1))}

= 1 - (261/990)

= 0.74 as High positive correlation among mathematics marks and accounts

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