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?
I only need the last section as the first two have already been answered.
Systolic Blood Pressure of Subjects (mmHg) |
Ratio of Subject’s Weight
to Normal Weight
|
Medication
M1
|
Medication
M2
|
Medication
M3
|
Medication
M4
|
Under 1.1 |
131 |
146 |
140 |
130 |
|
135 |
136 |
132 |
125 |
1.1 to 1.3 |
136 |
138 |
134 |
131 |
|
145 |
145 |
147 |
133 |
1.3 to 1.5 |
145 |
149 |
146 |
139 |
|
152 |
157 |
151 |
141 |
|
Click here for the Excel Data File
(a-1)Choose the correct row-effect hypotheses.
a. |
H
0:A
1 ≠A
2 ≠A
3 ≠ 0 |
⇐⇐ Weight means differ |
|
H
1: All theAj
are equal to zero |
⇐⇐ Weight means are the same |
b. |
H
0:A
1 =A
2 =A
3 = 0 |
⇐⇐ Weight means are the same |
|
H
1: Not all theAj
are equal to zero |
⇐⇐ Weight means differ |
(a-2)Choose the correct column-effect hypotheses.
a. |
H
0:B
1 ≠B
2 ≠B
3 ≠ 0 |
⇐⇐ Medication means differ |
|
H
1: All theBk
are equal to zero |
⇐⇐ Medication means are the same |
b. |
H
0:B
1 =B
2 =B
3 = 0 |
⇐⇐ Medication means are the same |
|
H
1: Not all theBk
are equal to zero |
⇐⇐ Medication means differ |
(a-3)Choose the correct interaction-effect hypotheses.
a. |
H
0: Not all theABjk
are equal to zero |
⇐⇐ there is an interaction effect |
|
H
1: All theABjk
are equal to zero |
⇐⇐ there is no interaction effect |
b. |
H
0: All theABjk
are equal to zero |
⇐⇐ there is no interaction effect |
|
H
1: Not all theABjk
are equal to zero |
⇐⇐ there is an interaction effect |
(b)Fill in the missing data.(Round your table of means values to 1 decimal place,SS andF values to 2 decimal places,MS values to 3 decimal places, andp-values to 4 decimal places.)
Table of Means |
Means: |
Factor 2 (Medication) |
Factor 1 (Weight) |
Med 1 |
Med 2 |
Med 3 |
Med 4 |
Total |
1.1 or Less |
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1.1 to 1.3 |
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1.3 to 1.5 |
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Total |
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ANOVA TABLE |
Source |
SS
|
df
|
MS
|
F
|
p-value |
Factor 1 (Weight) |
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Factor 2 (Medication) |
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Interaction |
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Error |
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Total |
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(c)Usingα = 0.05, choose the correct statement.
The main effect of medication is significant; however, there is no significant effect from weight or interaction between weight and medication.
The main effect of weight is significant; however, there is no significant effect from medication or interaction between weight and medication.
The main effects of weight and medication are significant, but there is not a significant interaction effect.
(d)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 yourt-values and critical values to 2 decimal places and other answers to 1 decimal place.)
Post hoc analysis for Factor 1:
Tukey simultaneous comparisont-values (d.f. = 12) |
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1.1 or Less |
1.1 to 1.3 |
1.3 to 1.5 |
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1.1 or Less |
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1.1 to 1.3 |
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1.3 to 1.5 |
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Critical values for experimentwise error rate: |
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0.05 |
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0.01 |
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