Question

The Rank correlation coefficient are: R1: 32514 R2: 41523

 A) 0.8

 B) 0.086

 C) 0.75

 D) 0.9​

Answer 1

Answer:

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Answer 2

Given : R1: 32514 R2: 41523

To Find : The Rank correlation coefficient

A) 0.8

B) 0.086

 C) 0.75

 D) 0.9​

Solution:

R1         3          2          5          1              4

R2         4          1           5          2             3

d          -1           1             0        -1              1

d²          1           1             0          1             1

∑d²   = 1  + 1 + 0 + 1 + 1 = 4  

rank correlation coefficient    = 1   - 6  ∑ (di)² / (n(n² - 1))

n = 5

∑ (di)²  = sum of squares of the differences in ranks = 4

rank correlation coefficient  =  1  - 6 ( 4) / ( 5 ( 5² - 1))

= 1  - 24 / 5(24)

= 1  - 1/5

= 1 - 0.2

= 0.8

The Rank correlation coefficient  is 0.8

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