t-Test Statistical Analysis of the Pre-Test and Post-Test of the Experimental Group

Table 4.6 Mean Scores Comparison Pre-Test Post-Test Progress Experimental Group 68 84.3 16.3 Control Group 66.7 78.2 11.5 The table above demonstrated that there were improvements in both groups. However, the progress of the experimental group which taught by subtitled English songs were higher than the control group which taught by Grammar Translation Method. To prove the significant improvement of both groups, the results need to be tested by using t-test.

4.3.3 t-Test Statistical Analysis of the Pre-Test and Post-Test of the Experimental Group

To find the t-test of pre-test and posttest of the experimental group, first I calculated the gain or difference result of the post-test and pre-test. Here, the gain or difference is symbolized by d. When the value of d is obtained, then the square of d can be calculated d 2 . To see the complete calculation, look at this table below: Table 4.7 Pre-Test and Post-Test of the Experimental Group NO. CODE PRE-TEST X1 POST-TEST X2 d X2-X1 d 2 1 E-01 70.0 86.7 16.7 278.89 2 E-02 66.7 86.7 20 400 3 E-03 66.7 83.3 16.6 275.56 4 E-04 63.3 70.0 6.7 44.89 5 E-05 70.0 83.3 13.3 176.89 6 E-06 70.0 76.7 6.7 44.89 7 E-07 73.3 76.7 3.4 11.56 8 E-08 73.3 96.7 23.4 547.56 9 E-09 66.7 83.3 16.6 275.56 10 E-10 63.3 86.7 23.4 547.56 11 E-11 66.7 80.0 13.3 176.89 12 E-12 70.0 83.3 13.3 176.89 13 E-13 66.7 76.7 10 100 14 E-14 63.3 90.0 26.7 712.89 15 E-15 76.7 86.7 10 100 16 E-16 56.7 86.7 30 900 17 E-17 56.7 76.7 20 400 18 E-18 70.0 83.3 13.3 176.89 19 E-19 76.7 96.7 20 400 20 E-20 76.7 96.7 20 400 21 E-21 66.7 83.3 16.6 275.56 22 E-22 56.7 86.7 30 900 23 E-23 56.7 66.7 10 100 24 E-24 76.7 83.3 6.6 43.56 25 E-25 70.0 80.0 10 100 26 E-26 73.3 83.3 10 100 27 E-27 63.3 86.7 23.4 547.56 28 E-28 73.3 90.0 16.7 278.89 29 E-29 66.7 86.7 20 400 30 E-30 70.0 90.0 20 400 31 E-31 66.7 86.7 20 400 32 E-32 73.3 86.7 13.4 179.56 ∑ 32 2177 2697 520.1 9872.05 � ̅ 68 84.3 Next, after gaining the value of d, the mean difference of the pre-test and post-test could be made by using formula stated by Arikunto as follows: � = ∑� � Arikunto 2006:307 As a result, it was obtained that � = � . 2 = 16.253 Then, the next step was to calculate the value of ∑X 2 d by using formula as below: ∑X 2 d = ∑d 2 − ∑d 2 N Arikunto 2006: 308 Hence ∑X 2 d = ∑d 2 − ∑d N = 8 . − � . 2 = 8 . − 2 . , 2 = 8 . – 8453.25 = 1418.749 After processing the pre-test and post-test, then the t test could be calculated as follows: � = �� √ ∑� � � �− in which, t = t test Md = mean difference of pre-test and post-test X d = deviation of each subject d-Md ∑X 2 d = sum of deviation square N = number of subject Arikunto 2006: 307 � = �� √ ∑� � � �− = 1 . √ 1 18. − 1 = 1 . √1 18. = 1 . √1. = 1 . 1.1 = 13.60 Finally I obtained the value of t test that was 13.60 Before stating whether the result is significant or not, I needed to consult it first with the value of t table . Here, first I defined the degree of freedom d.f on which: �. � = � − 1 Arikunto 2006:308 The degree of freedom then obtained as follows: �. � = − 1 �. � = 31 Thus, the writer needed to find out the definite value of t in the 5 alpha level of significance and 30 degrees of freedom by using interpolation as the following: t-table for 30 df = 2.042 60 df = 2.000 t-table for 60 = 2. 2−� 2. 2−2. = − − 2. 2−� . 2 = − − 2.042 – t x -30 = -1 x 0.042 -61.26 + 30 t = -0.042 30 t = -0.042 + 61.26 30 t = 61.218 t = 2.041 Based on the computation, the critical value on the t-table for 31 degrees of freedom and 5 alpha level of significance is 2.041. Because t-value is higher than t-table 13.60 2.041, it means that there is significant differences in the experimental group after they received treatments using subtitled English songs.

4.3.4 t-Test Statistical Analysis of the Pre-Test of the Experimental and Control Group

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