An educational psychologist has developed a mediation techniqueto reduce anxiety. The psychologist selected a sample of highanxiety students that are asked to do the mediation at two therapysessions a week apart. The participants' anxiety is measured theweek before the first session and at each subsequent session. Beloware the anxiety scores for the participants. What can thepsychologist conclude with ? = 0.01?
| before | session 1 | session 2 |
|---|
9
6
8
5
8
6
9
6
8 | 7
7
6
7
6
9
7
7
7 | 9
5
5
4
5
6
5
5
4 |
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.
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
c) Compute the corresponding effect size(s) andindicate magnitude(s).
?2 = ; ---Select--- na trivialeffect small effect medium effect large effect
d) Make an interpretation based on theresults.
At least one of the sessions differ on anxiety.None of thesessions differ on anxiety.
e) Conduct Tukey's Post Hoc Test for the followingcomparisons:
1 vs. 3: difference = ;significant: ---Select--- Yes No
2 vs. 3: difference = ;significant: ---Select--- Yes No
f) Conduct Scheffe's Post Hoc Test for thefollowing comparisons:
1 vs. 3: test statistic = ;significant: ---Select--- Yes No
2 vs. 3: test statistic = ;significant: ---Select--- Yes No
