Refer to Exercise 6.18.
a. Using the data in the table, run a Wilcoxon signed-rank test. Give the p-value and draw a conclusion.
b. Compare your conclusions here to those in Exercise 6.18. Does it matter which test (t or signed-rank) is used?
Exercise 6.18
The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] presents the results of a study that evaluated salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 11.5 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given here.
| Patient | ||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| Before treatment | 22.86 | 7.74 | 15.49 | 9.97 | 1.44 | 9.39 | 11.40 | 1.86 | –6.71 | 6.42 |
| After treatment | 6.11 | –4.02 | 8.04 | 3.29 | –0.77 | 6.99 | 10.19 | 2.09 | 11.40 | 10.70 |
a. Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment?
b. Estimate the size of the change in the mean SENS value.
c. Do the conditions required for using the t procedures appear to be valid for these data? Justify your answer.
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