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) 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 (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 (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 your t-values and critical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for Factor 1: Tukey simultaneous comparison t-values (d.f. = 12) 1.1 or Less 1.1 to 1.3 1.3 to 1.5 1.1 or Less 1.1 to 1.3 1.3 to 1.5 Critical values for experimentwise error rate: 0.05 0.01 Post hoc analysis for Factor 2: Tukey simultaneous comparison t-values (d.f. = 12) Med 4 Med 1 Med 3 Med 2 Med 4 Med 1 Med 3 Med 2 Critical values for experimentwise error rate: 0.05 0.01
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) | ||||
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 | |
(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 | |||||
(d) Perform Tukey multiple comparison tests. (Input the
Post hoc analysis for Factor 1:
Tukey simultaneous comparison t-values (d.f. = 12) | ||||
1.1 or Less | 1.1 to 1.3 | 1.3 to 1.5 | ||
1.1 or Less | ||||
1.1 to 1.3 | ||||
1.3 to 1.5 | ||||
Critical values for experimentwise error rate: | ||||
0.05 | ||||
0.01 | ||||
Post hoc analysis for Factor 2:
Tukey simultaneous comparison t-values (d.f. = 12) | |||||
Med 4 | Med 1 | Med 3 | Med 2 | ||
Med 4 | |||||
Med 1 | |||||
Med 3 | |||||
Med 2 | |||||
Critical values for experimentwise error rate: | |||||
0.05 | |||||
0.01 |
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