A drug
company tested three formulations of a pain relief medicine for
migraine headache sufferers. For the...
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A drugcompany tested three formulations of a pain relief medicine formigraine headache sufferers. For the experiment 27 volunteers wereselected and 9 were randomly assigned to one of three drugformulations. The subjects were instructed to take the drug duringtheir next migraine headache episode and to report their pain on ascale of 1 to 10 (10 being most pain).
Drug A
Drug B
Drug C
4
6
6
5
8
7
4
4
6
3
5
6
2
4
7
4
6
5
3
5
6
4
8
5
4
6
5
1) Fill in the blanks
response variable =
factor =
n = number of observations =
p = number of treatments =
overall mean =
Drug A
Drug B
Drug C
sample mean
Totalvariation in the data (SSTO)=
Variation caused because of drugs (SST) =
Variation caused by the samples (SSE) =
2) Fill in the ANOVA table(alpha=0.05)
Source of Variation
SS
df
MS
F
p-value
F-critical
Treatments
Samples
Total
3) Based on your Anova table,write down the conclusion about Null hyphothesis (H0:µA=µB=µC)
If you reject Null, what does that mean? Write itin once sentence.
4) Build TUKEY SIMULTANOUS 95%confidence intervals for the following:
Tukey Simultamous C.I
µA-µB
µA-µC
µB-µC
Point Estimate
Standard error
df = p and n-p ----->
q alpha
Margin of error
Lower Limit
Upper Limit
5) Build Individual 95%confidence intervals for the following:
Individual C.I
µA-µB
µA-µC
µB-µC
µA
Point Estimate
Standard error
df = n-p ---- >
talpha/2
Margin of error
Lower Limit
Upper Limit
6)Based on the answers on parts 4 and 5, write down your conclusionsabout which drug beats which drug?
7) Create the MegaStat outputand fill in the blanks by using the post-hoc analysis of MegsaStatoutput:
What is the p-value of comparing drug A and B
What is the p-value of comparing drug C and B
Did we findevidence that the effects of drugs B and C on pain relief aredifferent from eachother?
Answer & Explanation
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3.8 Ratings (651 Votes)
1 aResponse variable Pain relief score b Factor The 3 types of drugs c No of observations 27 d No of treatments 3 e Overall mean 5111 f Sample mean A 3667 B 5778 C 5889 g Total variation error SSTO 5667 h Variation due to drugs SST 2822 i Variation due ito samples SSE 2844 2 ANOVA table Analysis of Variance Source
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