To check pain-relieving medications for potential side effects on blood pressure
ID: 2929065 • Letter: T
Question
To check pain-relieving medications for potential side effects on blood pressure, it is decided to give equal doses of each of four medications to test subjects. To control for the potential effect of weight, subjects are classified by weight groups. Subjects are approximately the same age and are in general good health. Two subjects in each category are chosen at random from a large group of male prison volunteers. Subjects’ blood pressures 15 minutes after the dose are shown below. Research question: Is mean blood pressure affected by body weight and/or by medication type?
Systolic Blood Pressure of Subjects (mmHg)
Tukey simultaneous comparison t-values (d.f. = 12)
Tukey simultaneous comparison t-values (d.f. = 12)
Please answer all parts clearly. Thank you.
To check pain-relieving medications for potential side effects on blood pressure, it is decided to give equal doses of each of four medications to test subjects. To control for the potential effect of weight, subjects are classified by weight groups. Subjects are approximately the same age and are in general good health. Two subjects in each category are chosen at random from a large group of male prison volunteers. Subjects’ blood pressures 15 minutes after the dose are shown below. Research question: Is mean blood pressure affected by body weight and/or by medication type?
Explanation / Answer
Answer:
To check pain-relieving medications for potential side effects on blood pressure, it is decided to give equal doses of each of four medications to test subjects. To control for the potential effect of weight, subjects are classified by weight groups. Subjects are approximately the same age and are in general good health. Two subjects in each category are chosen at random from a large group of male prison volunteers. Subjects’ blood pressures 15 minutes after the dose are shown below. Research question: Is mean blood pressure affected by body weight and/or by medication type?
Two factor ANOVA
Factor 2
Means:
M1
M2
M3
M4
Under 1.1
132.5
138.5
138.5
128.0
134.4
Factor 1
1.1 to 1.3
139.5
140.5
140.5
132.5
138.3
1.3 to 1.5
147.5
154.5
150.0
139.5
147.9
139.8
144.5
143.0
133.3
140.2
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1
773.08
2
386.542
13.76
.0008
Factor 2
441.67
3
147.222
5.24
.0153
Interaction
41.58
6
6.931
0.25
.9515
Error
337.00
12
28.083
Total
1,593.33
23
Tukey simultaneous comparison t-values (d.f. = 12)
Under 1.1
1.1 to 1.3
1.3 to 1.5
134.4
138.3
147.9
Under 1.1
134.4
1.1 to 1.3
138.3
1.46
1.3 to 1.5
147.9
5.09
3.63
critical values for experimentwise error rate:
0.05
2.67
0.01
3.56
Post hoc analysis
Tukey simultaneous comparison t-values (d.f. = 12)
M4
M1
M3
M2
133.3
139.8
143.0
144.5
M4
133.3
M1
139.8
2.12
M3
143.0
3.16
1.03
M2
144.5
3.65
1.53
0.49
critical values for experimentwise error rate:
0.05
2.97
0.01
3.89
Mean blood pressure is affected by body weight , F=13.76, P=0.0008.
Mean blood pressure affected by medication type, F=5.24,P=0.0153.
The interaction is not significant, F=0.25, P=0.9515.
Two factor ANOVA
Factor 2
Means:
M1
M2
M3
M4
Under 1.1
132.5
138.5
138.5
128.0
134.4
Factor 1
1.1 to 1.3
139.5
140.5
140.5
132.5
138.3
1.3 to 1.5
147.5
154.5
150.0
139.5
147.9
139.8
144.5
143.0
133.3
140.2
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1
773.08
2
386.542
13.76
.0008
Factor 2
441.67
3
147.222
5.24
.0153
Interaction
41.58
6
6.931
0.25
.9515
Error
337.00
12
28.083
Total
1,593.33
23
Tukey simultaneous comparison t-values (d.f. = 12)
Under 1.1
1.1 to 1.3
1.3 to 1.5
134.4
138.3
147.9
Under 1.1
134.4
1.1 to 1.3
138.3
1.46
1.3 to 1.5
147.9
5.09
3.63
critical values for experimentwise error rate:
0.05
2.67
0.01
3.56
Post hoc analysis
Tukey simultaneous comparison t-values (d.f. = 12)
M4
M1
M3
M2
133.3
139.8
143.0
144.5
M4
133.3
M1
139.8
2.12
M3
143.0
3.16
1.03
M2
144.5
3.65
1.53
0.49
critical values for experimentwise error rate:
0.05
2.97
0.01
3.89
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