A group of biochemistry researchers developed a new medicationfor treating depression. To assess if the new medication iseffective at treating depression, the researchers obtained a sampleof depressive patients from a local clinic. The patients were thenrandomly assigned into taking the medication for a month or not. Inaddition, the patients were also randomly assigned into receivingpsychotherapy for a month or not. At the end of the study, thepatients were asked to fill out a depression inventory in which ahigher score indicates more depression. The data are below. Whatcan be concluded with ? = 0.05?
Psychotherapy
| Medication | no | yes |
|---|
| no | 10
11
9
13 | 12
10
13
8 |
| yes | 11
13
8
9 | 4
3
7
6 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-wayANOVA
b) Compute the appropriate test statistic(s) tomake a decision about H0.
Medication: p-value = ;Decision: ---Select--- Reject H0 Fail to reject H0
Psychotherapy: p-value = ;Decision: ---Select--- Reject H0 Fail to reject H0
Interaction: p-value = ;Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) andindicate magnitude(s).
Medication: ?2= ; ---Select--- na trivial effect smalleffect medium effect large effect
Psychotherapy: ?2= ; ---Select--- na trivial effect smalleffect medium effect large effect
Interaction: ?2= ; ---Select--- na trivial effect smalleffect medium effect large effect
d) Make an interpretation based on theresults.
There is a medication difference in depression.There is nomedication difference in depression.
There is a psychotherapy difference in depression.There is nopsychotherapy difference in depression.
There is a medication by psychotherapy interaction indepression.There is no medication by psychotherapy interaction indepression.
