1.

Calculate rank correlation coefficient whose marks in statistics and economics are given as follows:Stats: 41 45 70 45 30 67 70Eco: 40 55 47 65 55 71 55Rank in stats: 6, 4.5 , 1.5, 4.5, 7, 3, 1.5Rank in eco: 7 4 6 2 4 1 4

Answer»
xiyidi = (xi - yi)di2
67-11
4.540.50.25
1.56-4.520.25
4.522.56.25
7439
3124
1.54-2.56.25
\(\sum\)di2 = 47

We have \(\sum\)di2 = 47, n = 7

Spearman's rank correction coefficient = \(\cfrac{1-6\sum d_i^2}{n(n^2-1)}\) 

= \(\cfrac{1-6\times47}{7(7^2-1)}\) = \(\cfrac{1-282}{336}\) 

= 0.1607


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