Question

In: Math

An educational psychologist has developed a mediation technique to reduce anxiety. The psychologist selected a sample...

An educational psychologist has developed a mediation technique to reduce anxiety. The psychologist selected a sample of high anxiety students that are asked to do the mediation at two therapy sessions a week apart. The participants' anxiety is measured the week before the first session and at each subsequent session. Below are the anxiety scores for the participants. What can the psychologist conclude with α= 0.05?

before session 1 session 2
9
6
8
5
8
6
9
6
8
7
7
6
7
1
9
7
7
7
6
5
5
4
5
6
5
5
4

Make an interpretation based on the results.

At least one of the sessions differ on anxiety.None of the sessions differ on anxiety.    


e) Conduct Tukey's Post Hoc Test for the following comparisons:
2 vs. 3: difference =  ; significant:  ---Select--- Yes No
1 vs. 2: difference =  ; significant:  ---Select--- Yes No

f) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 3: test statistic =  ; significant:  ---Select--- Yes No
2 vs. 3: test statistic =  ; significant:  ---Select--- Yes No

Solutions

Expert Solution

before session 1 session 2 Anova: Single Factor
9 7 6
6 7 5 SUMMARY
8 6 5 Groups Count Sum Average Variance
5 7 4 Before 9 65 7.222222 2.194444
8 1 5 Session 1 9 58 6.444444 4.777778
6 9 6 Session 2 9 45 5 0.5
9 7 5
6 7 5
8 7 4 ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 22.88889 2 11.44444 4.594796 0.020441 3.402826
Within Groups 59.77778 24 2.490741
Total 82.66667 26

From ANOVA table we see that P-value=0.020441<0.05 so there is sufficient evidence that at least one of the sessions differ on anxiety.


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