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:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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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

  1. 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

 

  1. What can we conclude? (Remember: make sure you have the same number of conclusion statements as you do hypotheses…)

 

  1. 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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