A pharmaccutical company tested three formulations of a pain relief medicine for

Question

A pharmaccutical company tested three formulations of a pain relief medicine for migraine headache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned to one of three drug formulations. The subjects were instructed to take the drug during their next migraine headache episode and to report their pain on a scale of 1 = no pain to 10-extreme pain 30 minutes after taking the drug. Fill in the blanks in the ANOVA table:P-value: (6 points) MS Pvaluc Source of Variation Treatment Error Total 11.908 24 36 28.222 28.444 56.666 What is the response variable?

Explanation / Answer

The blanks are:

MSTreatment = SSTr / d.f.(Treatment) = 28.222/2 = 14.111.

(Ans).

MSError = SSE / d.f.(Error) = 28.444/24 = 1.1852. (Ans).

F = MSTreatment / MSError = 14.111 / 1.1852 = 11.908.

p-value = P(F > 11.908), where, F ~ F-distribution with (2, 24)

d.f.

Thus, p-value = 0.0003. (Ans).

Migraine headache of volunteers is the response variable in

this case. (Ans).

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