Question

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

Answer 1

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.