In a research to determine the relationship between performance of students in an entrance examination and subsequent school performance, the results of ten randomly selected students wre obtained as follows;
Students
A
B
C
D
E
F
G
H
I
Performance in Entrance Examination
11
12
8
13
6
15
10
14
17
School Performance
5
10
9
7
4
8
6
14
11
1, Calculate the spearman's rank correlation coefficient 2. What would be the researcher's from the result in a?
Explanation
(a)
R
4
5
2
6
1
8
3
7
10
9
R
2
7
6
4
1
5
3
10
8
9
d
2
-2
-4
2
0
3
0
-3
2
0
d
4
4
16
4
0
9
0
9
4
0
Then = 50 The spearman's coefficient = 1 - = 1 - 0.30303 = 0.697
(b) We conclude that there exist positive correlation between performance in entrance examination and school performance
