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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} [ Calculator, Method and examples ]

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 1 3 -2 4 6 5 1 1 5 8 -3 9 10 4 6 36 3 7 -4 16 2 10 -8 64 4 2 2 4 9 1 8 64 7 6 1 1 8 9 -1 1 --- --- --- --- -- -- -- 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 3 6 -3 9 5 4 1 1 8 9 -1 1 4 8 -4 16 7 1 6 36 10 2 8 64 2 3 -1 1 1 10 -9 81 6 5 1 1 9 7 2 4 --- --- --- --- -- -- -- 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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