Question

A pharmaceutical company tested three formulations of a pain relief medicine for migraine headache sufferers. Volunteers were selected and randomly assigned to one of the three drug formulations. The volunteers were instructed to take the drug during their next migraine headache episode and to report their pain on a scale of 1 to 10 (10 being most pain). The data are below. What can be concluded with α = 0.05?

formulation A	formulation B	placebo
5 6 8 4 5 4 6 5 5 5 2	6 6 7 6 6 7 5 6 6 6 6	4 6 4 6 2 5 2 6 2 7 2

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

b) Input the appropriate value(s) to make a decision about H₀.
p-value = _______________ ; Decision:  ---Select--- Reject H0 Fail to reject H0

c) Using the SPSS results, 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.

1) At least one of the formulations differ on pain

2) .None of the formulations differ on pain.    

Answer 1