Researchers in mental health fields are often interested in evaluating the effectiveness of using food images to enhance positive mood. Adapting a typical design from such studies, suppose we have participants rate their mood change on a standard self-report affect scale after viewing images of "comfort" foods, fruits/vegetables (F/V), and random non-food images (used as a control group). The results are given in the table at right for this hypothetical study.
Images | ||
---|---|---|
Control | F/V |
Comfort Foods |
0 | 0 | 4 |
0 | 1 | 3 |
1 | 2 | 4 |
3 | 2 | 5 |
0 | 1 | 0 |
(a) Complete the F-table. (Round your answers to two decimal places.)
Source of Variation |
SS | df | MS | Fobt |
---|---|---|---|---|
Between groups |
||||
Between persons |
||||
Within groups (error) |
||||
Total |
(b) Compute a Bonferroni procedure and interpret the results.
(Assume experimentwise alpha equal to 0.05. Select all that
apply.)
Participants rated a significantly larger mood change after viewing images of fruits/vegetables compared with the mood change after viewing control images.
Participants rated a significantly larger mood change after viewing images of comfort foods compared with the mood change after viewing control images.
There were no significant differences between any of the groups.
Participants rated a significantly larger mood change after viewing images of comfort foods compared with the mood change after viewing images of fruits/vegetables.
Answer:
Given Data
a) Complete the F-table.
Applying 2 way ANOVA :
Source | SS | df | MS | F |
treatments | 10.53 | 2 | 5.27 | 5.64 |
Blocks | 19.33 | 4 | 4.83 | 5.18 |
Error | 7.47 | 8 | 0.93 | |
Total | 37.33 | 14 |
b) Compute a Bonferroni procedure and interpret the results.
Participants rated a significantly larger mood change after viewing images of comfort foods compared with the mood change after viewing control images.
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