Question

A team of researchers recruited a random sample of migraine sufferers. Before the study began at baseline, participants were asked to record the duration of headaches they experienced in a week. A few days later, all participants were asked to practice a week-long relaxation technique designed to reduce migraine headaches. A three-week off period in which the participants practiced nothing was given between the relaxation technique. Throughout the relaxation technique participants were asked to record the duration of headaches. What can be concluded with an α of 0.01?

baseline	week 1	week 4
9 7 11 8 12 7 11 7 10	9 7 6 6 9 5 6 5 9	8 9 6 13 7 4 6 5 8

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η² =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

At least one week differs on the headache duration.None of the weeks differed on headache duration.    

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