Analgesics A pharmaceutical company tested three for-mulations of a pain relief medicine for migraine head-ache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned to one of threedrug formulations. The subjects were instructed to takethe drug during their next migraine headache episode andto report their pain on a scale of 1 = no pain to 10 =extreme pain 30 minutes after taking the drug. a) State the null and alternative hypotheses, being care-ful to talk about Drug and Pain levels as well as parameters.b) Perform an ANOVA on these data. What can youconclude?c) Check the assumptions and conditions for an ANOVA.Do you have any concerns about the experimentaldesign or the analysis?d) (Optional) Perform a multiple comparisons test todetermine which drugs differ in terms of mean painlevel reported.Drug Pain Drug Pain Drug PainA 4 B 6 C 6A 5 B 8 C 7A 4 B 4 C 6A 3 B 5 C 6A 2 B 4 C 7A 4 B 6 C 5A 3 B 5 C 6A 4 B 8 C 5A 4 B 6 C 5
Analgesics A pharmaceutical company tested three for-mulations of a pain relief medicine for migraine head-ache sufferers. For the experiment, 27 volunteers were selected and 9 were randomly assigned to one of threedrug formulations. The subjects were instructed to takethe drug during their next migraine headache episode andto report their pain on a scale of 1 = no pain to 10 =extreme pain 30 minutes after taking the drug. a) State the null and alternative hypotheses, being care-ful to talk about Drug and Pain levels as well as parameters.b) Perform an ANOVA on these data. What can youconclude?c) Check the assumptions and conditions for an ANOVA.Do you have any concerns about the experimentaldesign or the analysis?d) (Optional) Perform a multiple comparisons test todetermine which drugs differ in terms of mean painlevel reported.Drug Pain Drug Pain Drug PainA 4 B 6 C 6A 5 B 8 C 7A 4 B 4 C 6A 3 B 5 C 6A 2 B 4 C 7A 4 B 6 C 5A 3 B 5 C 6A 4 B 8 C 5A 4 B 6 C 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Analgesics A pharmaceutical company tested three for-
mulations of a pain relief medicine for migraine head-
ache sufferers. For the experiment, 27 volunteers were
mulations of a pain relief medicine for migraine head-
ache 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.
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.
a) State the null and alternative hypotheses, being care-
ful to talk about Drug and Pain levels as well as
ful to talk about Drug and Pain levels as well as
parameters.
b) Perform an ANOVA on these data. What can you
conclude?
c) Check the assumptions and conditions for an ANOVA.
Do you have any concerns about the experimental
design or the analysis?
d) (Optional) Perform a multiple comparisons test to
determine which drugs differ in terms of mean pain
level reported.Drug Pain Drug Pain Drug Pain
A 4 B 6 C 6
A 5 B 8 C 7
A 4 B 4 C 6
A 3 B 5 C 6
A 2 B 4 C 7
A 4 B 6 C 5
A 3 B 5 C 6
A 4 B 8 C 5
A 4 B 6 C 5
b) Perform an ANOVA on these data. What can you
conclude?
c) Check the assumptions and conditions for an ANOVA.
Do you have any concerns about the experimental
design or the analysis?
d) (Optional) Perform a multiple comparisons test to
determine which drugs differ in terms of mean pain
level reported.Drug Pain Drug Pain Drug Pain
A 4 B 6 C 6
A 5 B 8 C 7
A 4 B 4 C 6
A 3 B 5 C 6
A 2 B 4 C 7
A 4 B 6 C 5
A 3 B 5 C 6
A 4 B 8 C 5
A 4 B 6 C 5
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