o 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) Ratio of Subject’s Weightto Normal Weight MedicationM1 MedicationM2 MedicationM3 MedicationM4 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 correct row of hypothesis a. H0: A1 ≠ A2 ≠ A3 ≠ 0 ⇐⇐ Weight means differ H1: All the Aj are equal to zero ⇐⇐ Weight means are the same correct column of Hypothesis H0: B1 ≠ B2 ≠ B3 ≠ 0 ⇐⇐ Medication means differ H1: All the Bk are equal to zero ⇐⇐ Medication means are the same correct interaction-effect hypotheses H0: Not all the ABjk are equal to zer ⇐⇐ there is an interaction effect H1: All the ABjk are equal to zero ⇐⇐ there is no interaction effect (b) Fill in the missing data. (Round your table of means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-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 1.1 to 1.3 1.3 to 1.5 Total ANOVA TABLE Source SS df MS F p-value Factor 1 (Weight) Factor 2 (Medication) Interaction Error Total
o 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) | ||||
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 | |
correct row of hypothesis
a. | H0: A1 ≠ A2 ≠ A3 ≠ 0 | ⇐⇐ Weight means differ |
H1: All the Aj are equal to zero | ⇐⇐ Weight means are the same |
correct column of Hypothesis
H0: B1 ≠ B2 ≠ B3 ≠ 0 | ⇐⇐ Medication means differ | |
H1: All the Bk are equal to zero | ⇐⇐ Medication means are the same |
correct interaction-effect hypotheses
H0: Not all the ABjk are equal to zer | ⇐⇐ there is an interaction effect | |
H1: All the ABjk are equal to zero | ⇐⇐ there is no interaction effect |
(b) Fill in the missing data. (Round your table of means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-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 | |||||
1.1 to 1.3 | |||||
1.3 to 1.5 | |||||
Total | |||||
ANOVA TABLE | |||||
Source | SS | df | MS | F | p-value |
Factor 1 (Weight) | |||||
Factor 2 (Medication) | |||||
Interaction | |||||
Error | |||||
Total | |||||
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