Question

High School Class Sophomore Junior Senior Freshman 1 2 4 0 3 2 5 3 4 60 5 0 3 4 0 0 2 4 4 5 1. List the mean and standard deviation for each of the 4 Class groups. 2. Describe the ANOVA results: What did For equal? Was it significant? 3. What was the eta-squared effect size? Would this be considered a small, moderate, or large effect according to Cohen's conventions? (You will need to calculate this from the data provided in the source table if you used Method 1.) 4. Which (if any) pairwise comparisons differed significantly according to the Tukey Post Hoc tests? Be sure to name the specific classes that differed significantly (if any).

Answer 1

1. The mean and standard deviation for the Freshman group is given by 2.44 and 1.667 respectively.

The mean and standard deviation for the Sophomore group is given by 2.22 and 1.856 respectively.

The mean and standard deviation for the Junior group is given by 3.33 and 2.121 respectively.

The mean and standard deviation for the Senior group is given by 3.22 and 1.093 respectively.

2. From the ANOVA table, the P-value is 0.438 at 0.05 level of significance. Hence we can conclude that there is no significant difference between the groups.

3. From the Measures of Association table, the Eta value is 0.283 which approximately equals to 0.3. so, Cohen's conventions we can conclude that effect size is medium.

4. Hence there is no significant difference between the groups we can't conduct Post Hoc test for the given data

Report values Std. Error of Mean groups Mean N 9 9 Freshman Sophomore Junior .556 .619 2.44 2.22 3.33 3.22 2.81 Std. Deviation 1 .667 1 .856 2.121 1 .093 1.721 Senior 9 .707 .364 .287 Total 36 ANOVA Table Sum of Squares df Mean Square F Sig. values * groups (Combined) .929 438 Between Groups Within Groups Total 8.306 95.333 103.639 2.769 2.979 32 3 5 Measures of Association Eta Eta Squared values * groups 2 83 .080