QUESTION 5

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QUESTION 5
One of the methods of determining the reliability of the test is through test retest method. Use the data below to calculate the correlation coefficient of the following set of scores shown in the table below

T1(x)
T2(Y)
T1(X)
T2(X)
T1T2(XY)
1.       
4
1



2.       
7
7



3.       
5
2



4.       
10
10



5.       
8
6



6.       
3
1



7.       
4
4



8.       
2
4



9.       
6
5



10.   
1
2



Total scores
50
40




Key
N = Number of students who set for a test
T1 = Test one
T2 = Test two
X = Score of test one (T1)
Y = Score of test two (T2)
∑ = Summation





Answer
Corrélation  coeltient,doneted  by r ; is a  masure  of the strength of the straights of the line  or line  relationship between  two  variables
Solution
Let
T1(x) = Xi
T2(y) = yi
T(x y) = Xi x yi
Corrélation coefficient = r
 
A table value
N
1.       
4
1
16
1
4
2.       
7
7
49
49
49
3.       
5
2
25
4
10
4.       
10
10
100
100
100
5.       
8
6
64
36
72
6.       
3
1
9
1
3
7.       
4
4
16
16
16
8.       
2
4
4
16
8
9.       
6
5
36
25
30
10.   
1
2
1
4
2

50
40
320
252
294

Where
n = 10
 
 
 
 
 
Formulae
 
 
 
 
 
 
=1.17
r = 1.17
Correlation coefficient is 1.17 shows the positive relation between test one and test two 





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