find out rank difference correlation of x and y
x - 80,78,75,75,58;67;60;59
y -12,13,14,14,14,16,15,17
X | Y | R1 | R2 | R1 – R2 | D2 |
80 | 12 | 1 | 8 | –7 | 49 |
78 | 13 | 2 | 7 | –5 | 25 |
75 | 14 | 3.5 | 5 | –1.5 | 2.25 |
75 | 14 | 3.5 | 5 | –1.5 | 2.25 |
58 | 14 | 8 | 5 | 3 | 9 |
67 | 16 | 5 | 2 | 3 | 9 |
60 | 15 | 6 | 3 | 3 | 9 |
59 | 17 | 7 | 1 | 6 | 36 |
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Since the value 75 is repeated two times, so we have assigned an average rank of 3rd and 4th rank i.e. (3+4)/2= 3.5 each. Similarly, the value 14 is appearing three times, so we have assigned an average rank of 4th, 5th and 6 th ranks i.e. (4+5+6)/3= 5 each.
Therefore, m1 = 2 ( as 75 is repeated two times) and m2 = 3 (as 14 is repeated three times)
