Question

4. The value of spearman's rank correlation coefficient of a certain number of observations was to be
2/3. The sum of squares of differences between the corresponding ranks was 55. Find the number of
pairs.
a. 10
b. 12
c. 11
d. None of these​

Answer 1

Answer:

12

Step-by-step explanation:

4.the value of spearman's rank correlation coefficient of a certain number of observation was to be

2/3.the sum of squares of difference between the corresponding ranks was 55 find the number of pairs answer is 12

Answer 2

The number of pairs is 9.414 .

Step 1: Find the number of pairs.

Given - Rank correlation coefficient = $\frac{2}{3}$

                                                             = 0.6

Sum of squares of differences between the corresponding ranks = 55

$P=1-6\frac{\sum di^2 }{n(n^2-1)}$

​$0.6=1-\frac{6(55) }{n(n^2-1)}$

$\frac{6(55) }{n(n^2-1)} = 0.4$  

$\frac{6(55)(10}{4} =n(n^2-1)$

$825 = n(n^2-1)$

So, n = 9.414