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:ÂµA=ÂµB=ÂµC)
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 Âµ_A-Âµ_B Âµ_A-Âµ_C Âµ_B-Âµ_C
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 Âµ_A-Âµ_B Âµ_A-Âµ_C Âµ_B-Âµ_C Âµ_A
Point Estimate
Standard error
df = n-p ---- > t_alpha/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 Solved by verified expert

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 See Answer

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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:ÂµA=ÂµB=ÂµC)
	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	Âµ_A-Âµ_B	Âµ_A-Âµ_C	Âµ_B-Âµ_C
		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	Âµ_A-Âµ_B	Âµ_A-Âµ_C	Âµ_B-Âµ_C	Âµ_A
		Point Estimate
		Standard error
	df = n-p ---- >	t_alpha/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?