Test of Significance METHODS OF INVESTIGATION

ΣY = Σy − Σy Ny ΣY = 5632 − 416.0 36 ΣY = 5632 − 4807.11 ΣY = 824.89 To make the analysis more reliable, I analyzed by using t-test formula as stated in chapter III.

4.4 Test of Significance

As mentioned above, the mean of control group was lower than the mean of the experimental group. Nevertheless, I could not infer that the difference between the two means was significant. Hence, I applied t-test formula. T-test was used to check whether the two means were statistically significant or not. Here is the formula: t = Mx − My ΣX + ΣY Nx + Ny − 2 1 Nx + 1 Ny Where : Mx = the mean score of experimental group My = the mean score of control group Nx = the number of students of experimental group Ny = the number of students of control group X 2 = the total square deviation of the experimental group Y 2 = the total square deviation of control group t = Mx − My ΣX + ΣY Nx + Ny − 2 1 Nx + 1 Ny Where: ΣX = Σx − Σx Nx ΣX = 9776 − 476 31 ΣX = 9776 − 7308.90 ΣX = 2467.10 And ΣY = Σy − Σy Ny ΣY = 5632 − 416.0 36 ΣY = 5632 − 4807.11 ΣY = 824.89 So the t value could be computed as follow: t = 15.35 − 11.56 2467 + 825 36 + 31 − 2 1 36 + 1 31 = 3.80 3292 65 67 1116 = 3.80 1.74 t = 2.18 As suggested by Best 1981, “for subjects which require fixed computation such as mathematics and physics the 1 percent 0.1 alpha level of significance can be used. Whereas the psychology and educational cycles the 5 percent 0.5 alpha level of significance can be used.” So, I used the 5 percent 0.5 alpha level of the significance. The number of the subjects from both control and experimental group was 67, so the degree of freedom was 65, which were obtained from: ∑Nx+∑Ny-2. For 5 percent 0.5 alpha level and 65 degree of freedom was no definite critical value in the t-table. It was needed to find the definite value using interpolation. t-table for 40 = 1.684 60 = 1.671 65 = ...? 40 − df df − 60 = 1.684 − t t − 1,671 40 − 65 65 − 60 = 1.684 − t t − 1.671 t = 1.67 The critical t-value was 1.67. The obtained t-value from the t-test calculation above was 2.18. Therefore, it could be shown that the obtained t- value was higher than the critical t value. It could be inferred that there was significant difference between experimental and control group.

4.5 Discussion of Research Findings