To check pain-relieving medications for potential side effects on blood pressure
ID: 2929055 • 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)
Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.)
Tukey simultaneous comparison t-values (d.f. = 12)
Tukey simultaneous comparison t-values (d.f. = 12)
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
132.0
140.5
138.5
126.0
134.3
Factor 1
1.1 to 1.3
142.5
139.5
140.0
133.5
138.9
1.3 to 1.5
148.0
153.0
149.0
141.5
147.9
140.8
144.3
142.5
133.7
140.3
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1
768.08
2
384.042
12.63
.0011
Factor 2
392.33
3
130.778
4.30
.0281
Interaction
91.92
6
15.319
0.50
.7943
Error
365.00
12
30.417
Total
1,617.33
23
Post hoc analysis
p-values for pairwise t-tests for Factor 1
Under 1.1
1.1 to 1.3
1.3 to 1.5
134.3
138.9
147.9
Under 1.1
134.3
1.1 to 1.3
138.9
.1193
1.3 to 1.5
147.9
.0003
.0068
Tukey simultaneous comparison t-values (d.f. = 12)
Under 1.1
1.1 to 1.3
1.3 to 1.5
134.3
138.9
147.9
Under 1.1
134.3
1.1 to 1.3
138.9
1.68
1.3 to 1.5
147.9
4.94
3.26
critical values for experimentwise error rate:
0.05
2.67
0.01
3.56
Post hoc analysis
p-values for pairwise t-tests for Factor 2
M4
M1
M3
M2
133.7
140.8
142.5
144.3
M4
133.7
M1
140.8
.0439
M3
142.5
.0168
.6102
M2
144.3
.0058
.2932
.5754
Tukey simultaneous comparison t-values (d.f. = 12)
M4
M1
M3
M2
133.7
140.8
142.5
144.3
M4
133.7
M1
140.8
2.25
M3
142.5
2.77
0.52
M2
144.3
3.35
1.10
0.58
critical values for experimentwise error rate:
0.05
2.97
0.01
3.89
Mean blood pressure is affected by body weight , F=12.63, P=0.0011.
Mean blood pressure affected by medication type, F=4.30,P=0.0281.
The interaction is not significant, F=0.50, P=0.7943.
Two factor ANOVA
Factor 2
Means:
M1
M2
M3
M4
Under 1.1
132.0
140.5
138.5
126.0
134.3
Factor 1
1.1 to 1.3
142.5
139.5
140.0
133.5
138.9
1.3 to 1.5
148.0
153.0
149.0
141.5
147.9
140.8
144.3
142.5
133.7
140.3
2
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1
768.08
2
384.042
12.63
.0011
Factor 2
392.33
3
130.778
4.30
.0281
Interaction
91.92
6
15.319
0.50
.7943
Error
365.00
12
30.417
Total
1,617.33
23
Post hoc analysis
p-values for pairwise t-tests for Factor 1
Under 1.1
1.1 to 1.3
1.3 to 1.5
134.3
138.9
147.9
Under 1.1
134.3
1.1 to 1.3
138.9
.1193
1.3 to 1.5
147.9
.0003
.0068
Tukey simultaneous comparison t-values (d.f. = 12)
Under 1.1
1.1 to 1.3
1.3 to 1.5
134.3
138.9
147.9
Under 1.1
134.3
1.1 to 1.3
138.9
1.68
1.3 to 1.5
147.9
4.94
3.26
critical values for experimentwise error rate:
0.05
2.67
0.01
3.56
Post hoc analysis
p-values for pairwise t-tests for Factor 2
M4
M1
M3
M2
133.7
140.8
142.5
144.3
M4
133.7
M1
140.8
.0439
M3
142.5
.0168
.6102
M2
144.3
.0058
.2932
.5754
Tukey simultaneous comparison t-values (d.f. = 12)
M4
M1
M3
M2
133.7
140.8
142.5
144.3
M4
133.7
M1
140.8
2.25
M3
142.5
2.77
0.52
M2
144.3
3.35
1.10
0.58
critical values for experimentwise error rate:
0.05
2.97
0.01
3.89
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.