The following is the writer’s assumption:
Ho : the data of homogenous variance H
1
: the data of un homogenous variance The criteria is Ho accepted if F
value
1.85 and rejected if F
value
1.85 with α = 5.
According to table 4.11, it can be seen that F
value
is smaller than F
table
, with the closest critical value of 29 with degree of significance 0.05 which is F
value
F
table
1.81 1.85. It shows Null Hypothesis Ho is accepted and the data of post-test group sample was taken from homogeneous population.
5. T-Test Formulation
For testing the hypothesis of the study, the writer used t-test formulation. The symbol “X” in the calculation was used to represent the gain score of experimental
class students and symbol “Y” represent the gain score of controlled class students.
The following description is the calculation of the formulation: Table 4.12
The Comparison of the Students’ Gain Score of Students’ Experimental Class and Controlled Class Student
No Score
x = X - ̅
y = Y - ̅
x
2
y
2
X Y
1. 9
7 -4.46
2.40 19.89
5.76 2.
13 15
-0.46 10.40
0.21 108.16
3. 20
4 6.54
-0.60 42.77
0.36 4.
5 -8.46
-4.60 71.57
21.16 5.
8 9
-5.46 4.40
29.81 19.36
6. 21
4 7.54
-0.60 56.85
0.36 7.
12 -1.46
-4.60 2.13
21.16 8.
9 3
-4.46 -1.60
19.89 2.56
9. 10
-1 -3.46
-5.60 11.97
31.36 10.
9 -4
-4.46 -8.60
19.89 73.96
11. 25
1 11.54
-3.60 133.17
12.96 12.
15 8
1.54 3.40
2.37 11.56
13. 25
7 11.54
2.40 133.17
5.76 14.
22 8.54
-4.60 72.93
21.16 15.
20 18
6.54 13.40
42.77 179.56
16. 12
4 -1.46
-0.60 2.13
0.36 17.
15 12
1.54 7.40
2.37 54.76
18. 15
-4 1.54
-8.60 2.37
73.96 19.
15 -3
1.54 -7.60
2.37 57.76
20. 17
10 3.54
5.40 12.53
29.16 21.
14 18
0.54 13.40
0.29 179.56
22. 9
-13.46 4.40
181.17 19.36
23. -3
4 -16.46
-0.60 270.93
0.36 24.
13 10
-0.46 5.40
0.21 29.16
25. 10
7 -3.46
2.40 11.97
5.76 26.
18 -8
4.54 -12.60
20.61 158.76
27. 11
4 -2.46
-0.60 6.05
0.36 28.
25 15
11.54 10.40
133.17 108.16
29. 5
-3 -8.46
-7.60 71.57
57.76 30.
14 -8
0.54 -12.60
0.29 158.76
∑ 404
138 1377.13
1290.44 Mean
13.46 4.6
45.90 43.01
According table 4.12 above, the statistical calculation can be calculated as follow:
a. Analyzing the Mean of Variable X with formulation: