The Analysis of Data
84-80 9
-1 -9
9 79-75
2 -2
-4 8
∑ 40
7 45
The writer calculated the data based on the table above with the following formulas:
a. Determining mean of variable X with formula:
∑
b. Determining deviations standard variable X with formula:
√ ∑
∑
√ =
√ =
√ =
5 x 1.046
c. Determining standard errors mean variable X with formula:
√
√
√
Table 4.2 Calculation table of variable
Y Control Class
Score f
Y
99-95 1
+3 +3
9 94-90
3 +2
+6 12
89-85 3
80.85 +1
+3 3
84-80 16
79-75 17
-1 -17
17 ∑
40 5
41
The table 4.4 showed the calculation table of variable Y. The first column score showed the score interval, the second column f showed the
frequency, the third column ̅ consist of the mean of the post-test score,
the fourth column , the fifth column showed
which was resulted
from the multiplication of f and , the last column
was the
multiplication of and f. this table will be used to calculated the mean,
deviations standard and standard errors of variable X. The writer calculated the data based on the table above with the
following formulas: d. Determining Mean of variable Y with formula:
∑
e. Determining deviations standard variable Y with formula:
√ ∑
∑
√ √
√
f. Determining standard errors mean variable Y with formula:
√
√
√
g. Determining the differences of mean variable X and mean variable Y with formula:
√
= √
= √
= √
h. Determining
i. determining degree of freedom df with formula:
df = f1+f2 - 2
The writer took the value of degree of freedom df closer to 78 in the t-table was 80. The value of df 80 at the degrees of significance
5 in t-table is 1.99
j. The hypotheses testing The writer formulated hypotheses toward this research as followed:
1 The Null Hypothesis there is no significant difference in
student’s vocabulary achievement in learning vocabulary by
using card game techniques.
2 The alternative hypothesis , there is significant difference
in students vocabulary achievement by using card game
technique.
The assumption of these hypotheses, as followed: The assumption of this hypothesis
is rejected. It means there is a significant difference
in student’s vocabulary achievement by using card game technique.
If ≤ t-table the Null Hypothesis
is accepted, that there is no significant difference in vocabulary achievement by using card games
technique and teaching vocabulary by conventional way.