Question

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solve by using Anova on minitab
what is the P value of the residual plot?
what's the F value from the Anova?
which drug has the biggest impact on blood pressure?

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Answer #1

Result:

Data are entered as two coloumns. one for group information and another for SBP values.

Group SBP
Drug A 118
Drug A 120
Drug A 125
Drug A 119
Drug A 121
Drug B 105
Drug B 110
Drug B 98
Drug B 106
Drug B 105
Untreated 130
Untreated 135
Untreated 132
Untreated 128
Untreated 130

solve by using Anova on minitab
what is the P value of the residual plot?

After ANOVA,Onway, residuals are stored and Graph--Probability plot menu is used to get the graph.

Probability Plot of RESI Normal - 95% CI Mean StDev 1.705303E-14 3.071 AD P-Value 0.345 0.436 Percent TTTTTT FFF + H+ NFIT EH

P value = 0.436.

what's the F value from the Anova?

One-way ANOVA: SBP versus Group

Method

Null hypothesis

All means are equal

Alternative hypothesis

Not all means are equal

Significance level

α = 0.05

Equal variances were assumed for the analysis.

Factor Information

Factor

Levels

Values

Group

3

Drug A, Drug B, Untreated

Analysis of Variance

Source

DF

Adj SS

Adj MS

F-Value

P-Value

Group

2

1740.4

870.20

79.11

0.000

Error

12

132.0

11.00

Total

14

1872.4

Model Summary

S

R-sq

R-sq(adj)

R-sq(pred)

3.31662

92.95%

91.78%

88.98%

Means

Group

N

Mean

StDev

95% CI

Drug A

5

120.60

2.70

(117.37, 123.83)

Drug B

5

104.80

4.32

(101.57, 108.03)

Untreated

5

131.00

2.65

(127.77, 134.23)

Pooled StDev = 3.31662

Tukey Pairwise Comparisons

Grouping Information Using the Tukey Method and 95% Confidence

Group

N

Mean

Grouping

Untreated

5

131.00

A

Drug A

5

120.60

B

Drug B

5

104.80

C

Means that do not share a letter are significantly different.

Tukey Simultaneous Tests for Differences of Means

Difference of Levels

Difference
of Means

SE of
Difference

95% CI

T-Value

Adjusted
P-Value

Drug B - Drug A

-15.80

2.10

(-21.39, -10.21)

-7.53

0.000

Untreated - Drug A

10.40

2.10

(4.81, 15.99)

4.96

0.001

Untreated - Drug B

26.20

2.10

(20.61, 31.79)

12.49

0.000

Individual confidence level = 97.94%

F value from the Anova = 79.11

which drug has the biggest impact on blood pressure?

Group

N

Mean

StDev

95% CI

Drug A

5

120.60

2.70

(117.37, 123.83)

Drug B

5

104.80

4.32

(101.57, 108.03)

Untreated

5

131.00

2.65

(127.77, 134.23)

Mean value of Drug B is 104.80 and is lowest among the three groups. Drug B has the biggest impact on blood pressure.

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