Home > Statistical Methods calculators > Spearman's Rank Correlation Coefficient (RHO) calculator

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Find Rank Correlation Coefficient {1,6,5,10,3,2,4,9,7,8},{3,5,8,4,7,10,2,1,6,9},{6,4,9,8,1,2,3,10,5,7}

Solution:
Your problem `->` Rank Correlation Coefficient {1,6,5,10,3,2,4,9,7,8},{3,5,8,4,7,10,2,1,6,9},{6,4,9,8,1,2,3,10,5,7}


Rank Correlation of X and Y
`Rx``Ry``d=Rx-Ry``d^2`
13-24
6511
58-39
104636
37-416
210-864
4224
91864
7611
89-11
------------
------200


`r = 1 - (6 * sum d^2)/(n(n^2 - 1))`

`=1 - (6 * 200)/(10 * (10^2 - 1))`

`=1 - (6 * 200)/(10 * (100 - 1))`

`=1 - 1200/990`

`=1 - 1.2121`

`=-0.2121`


Rank Correlation of Y and Z
`Rx``Ry``d=Rx-Ry``d^2`
36-39
5411
89-11
48-416
71636
102864
23-11
110-981
6511
9724
------------
------214


`r = 1 - (6 * sum d^2)/(n(n^2 - 1))`

`=1 - (6 * 214)/(10 * (10^2 - 1))`

`=1 - (6 * 214)/(10 * (100 - 1))`






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