Use SPSS for this Application Exercise: A pharmaceutical company tested three fo

Question

Use SPSS for this Application Exercise:
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 ? = 0.05?

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.
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).
?2 =  ;  ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

At least one of the formulations differ on pain.None of the formulations differ on pain.   

formulation A formulation B placebo 1
6
8
4
5
4
6
5
5
5
5 6
6
7
6
6
7
5
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6
6
6 4
6
4
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2
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2
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2

Explanation / Answer

a) What is the appropriate test statistic?

Ans: one-way ANOVA.

b) Compute the appropriate test statistic(s) to make a decision about H0.
p-value = 0.0209 ; Decision: Reject H0 (Because the estimated p-value is less than 0.05 level of significance.)

c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
?2 =  ;  ---Select--- na trivial effect small effect medium effect large effect

Ans: h2 = SSeffect / SStotal =20.424/89.879=0.2272.

d) Make an interpretation based on the results.

Ans: At least one of the formulations differ on pain.

Tests of Between-Subjects Effects Dependent Variable:Pain scale Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 20.424a 2 10.212 4.411 0.0209 Intercept 845.121 1 845.121 365.039 0.0000 Medicine 20.424 2 10.212 4.411 0.0209 Error 69.455 30 2.315 Total 935.000 33 Corrected Total 89.879 32

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