In: Statistics and Probability
If the scores of a group of students who are high in
academic achievement (10 individuals) on the academic
self-
efficacy scale are as follows:
120-122-117-102-125-120-108-111-110-115
The scores of a group of students with low academic achievement (12 individuals) on the academic self-effectiveness scale are as follows:
72-69-72-75-77-80-68-75-77-87-70-85
Using spss, how to test the following
hypothesis:
There are no statistically significant differences between the mean
scores of the sample individuals on the academic self-efficacy
scale due to the difference in the achievement level of the
students (high - low).
Hence we accept the alternative hypothesis (HA), which is that there are at least two group means that are statistically significantly different from each other
Since p < 0.05, the null hypothesis was rejected confirming no statistically significant differences between the mean scores of the sample individuals on the academic self-efficacy scale due to the difference in the achievement level of the students (high - low).
However, a balanced design (i.e., same number of subjects in each group) is ideal. Extremely unbalanced designs increase the possibility that violating any of the requirements/assumptions will threaten the validity of the test.