6. Incorrect. The
answer is true not false.
Arrange x and y in the ascending order of magnitude and assign corresponding ranks. Then compute the difference in ranks, d, and the sum of difference in ranks squared.
|
x |
1 |
3 |
4 |
6 |
8 |
9 |
11 |
14 |
|
rank of x |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
y |
1 |
2 |
4 |
4 |
5 |
7 |
8 |
9 |
|
rank of y |
1 |
2 |
3.5 |
3.5 |
5 |
6 |
7 |
8 |
|
D |
0 |
0 |
0.5 |
-0.5 |
0 |
0 |
0 |
0 |
|
d2 |
0 |
0 |
0.25 |
0.25 |
0 |
0 |
0 |
0 |
Σd2=0.5
rrank = 1- 6Σd2/(n(n2-1))=0.9940 which is slightly higher than the result of problem 6.