In addition to collecting data from students in the current semester, data was also collected using the same questionnaire from students in the semesters of January 2018 and July 2018. We would like to compare the 3 cohorts of students in terms of their self-reported Age, Gender, and Programme of study in SUSS with the aim of generalizing any findings from the current analyses to students in January 2018 and July 2018.
a) Apply your understanding of the various statistical tests and recommend the most appropriate tests for the comparisons described above.
In regards to this experiment, you can perform a One Factor Anova Test...
The One Factor Anova is normally used to analyse if there is any statistically significant differences between the averages of two or more independent groups.
In this case, you can perform a One Factor Anova Test independently between the students in the semesters of January 2018 and July 2018 especially for the factors like Age, where the responses are quantitative... For example, a Anova test can be performed between the age of the students in the semesters of January 2018 to that of July 2018 in order to check if there is any significant differences in the averages of both the groups...
For qualitative responses like Gender and Area of Study, simple charts like Bar and Pie can provide you the insights/distribution...
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