As an admissions counselor, I am interested in understanding whether or not there is a difference in stress levels not only between different majors but also between different classes (Freshman v. Seniors). I gather the following data from students from three majors (Psychology, Chemistry, and Engineering), that are in their freshmen or senior years and ask them about their stress levels (scale of 1-10, with lower numbers meaning less stress). Using the data below, test whether there are effects of class, major, or an interaction between them at an alpha of 0.05.
Psychology |
Chemistry |
Engineering |
|
Freshmen |
3, 4, 4, 2, 4 |
4, 5, 7, 8, 4 |
5, 7, 7, 8, 5 |
Senior |
4, 5, 5, 3, 5 |
8, 5, 6, 7, 7 |
9, 9, 8, 7, 9 |
- Complete the ANOVA summary table below:
Source |
SS |
df |
MS (variance) |
F |
MAJOR |
||||
CLASS |
||||
MAJOR*CLASS |
||||
ERROR/RESIDUAL |
Nothing here |
|||
TOTAL |
Nothing here |
Nothing here |
- What can we conclude? (Remember: make sure you have the same number of conclusion statements as you do hypotheses…)
- If it’s significant, follow-up your analysis with a posthoc test on Major (using a Bonferroni correction) and comment on any significant differences between the majors. Write these out rather than just copying and pasting the post-hoc table from Jamovi.
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