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Figure 9. Histogram and Polygon Data A
2
B
2
B. Normality and Homogeneity Test
Before analyzing the data for testing hypothesis, analyzing the normality and homogeneity test must be done. The normality test is to know the sample is in normal
distribution and the homogeneity test is to know the data are homogenous. Each test is presented in the following section.
1. Normality Test
The sample is on normal distribution if L
o
L obtained is lower the L
t
L table at the level of significance
α = 0.05. L stands for Lilliefors. Table 11. Normality Test
No Data
The number of Sample
L obtained
o
L
L Table
t
L
Alfa α
Distribution of Sample
1 A
1
32 0.1168
0.157 0.05
Normal 2
A
2
32 0.1299
0.157 0.05
Normal 3
B
1
32 0.1231
0.157 0.05
Normal 4
B
2
32 0.1052
0.157 0.05
Normal 5
A
1
B
1
16 0.1515
0.213 0.05
Normal 6
A
2
B
1
16 0.1591
0.213 0.05
Normal 7
A
1
B
2
16 0.2014
0.213 0.05
Normal 8
A
2
B
2
16 0.1392
0.213 0.05
Normal
0.5 1
1.5 2
2.5 3
3.5 4
4.5
1
F R
E QU
E N
C Y
INTERVAL SCORE
GROUP A
2
B
2
50-54 55-59
60-64 65-69
70-74
49.5 54.5
69.5 64.5
69.5 74.5
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2. Homogeneity Test
Homogeneity test is done to know that the data are homogeneous. If
2 o
X
is lower than
2 05
. t
X
, it can be concluded that the data are homogeneous. Table 12. Homogeneity Test
CSR DI
CSR DI
70 45
50 55
4900 2025
2500 3025
68 40
53 55
4556 1600
2756 3025
78 40
43 60
6006 1600
1806 3600
73 43
48 68
5256 1806
2256 4556
75 48
63 53
5625 2304
3906 2756
60 58
43 50
3600 3306
1806 2500
73 63
50 60
5256 3906
2500 3600
68 63
48 70
4556 3906
2256 4900
75 43
45 68
5625 1806
2025 4556
78 43
63 53
6006 1806
3906 2756
78 63
53 65
6006 3906
2809 4225
73 53
48 50
5256 2756
2256 2500
68 43
60 63
4556 1806
3600 3906
75 55
45 73
5625 3025
2025 5256
78 60
60 58
6006 3600
3600 3306
60 63
40 70
3600 3906
1600 4900
1145 818
808 968
82438 43067
41609 59369
Sample df
1df
2 i
s
log
2 i
s
df log
2 i
s
1 15
0.07 33.23
1.5215 22.8228
2 15
0.07 83.08
1.9195 28.7927
3 15
0.07 53.67
1.7297 25.9456
4 15
0.07 57.68
1.7610 26.4156
60 103.9767
1.
{ }
08 .
3 98
. 103
31 .
105 3026
. 2
log 1
10
2 2
= -
= -
-
å
i
s n
B In
X
Because
08 .
3
2 o
X
is lower than
2 t
X
3 95
7.81, it can be concluded that the data are homogeneous.
2 2
2
B A
2 1
2
B A
2 2
1
B A
2 1
1
B A
1 1
B A
1 2
B A
2 2
B A
2 1
1
B A
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C. Hypothesis Testing
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