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384 CHAPTER 8 ANALYSIS OF VARIANCE
For the studies described in Exercises 39 through 66, do the following:
(a) Perform a statistical analysis of the data (including hypothesis testing and confidence interval
construction) that you think would yield useful information for the researchers.
(b) Determine p values for each computed test statistic.
(c) State all assumptions that are necessary to validate your analysis.
(d) Describe the population(s) about which you think inferences based on your analysis would be
applicable.
39. Shirakami et al. (A-40) investigated the clinical significance of endothelin (ET), natriuretic peptides,
and the renin-angiotensin-aldosterone system in pediatric liver transplantation. Subjects were children
ages 6 months to 12 years undergoing living-related liver transplantation due to congenital
biliary atresia and severe liver cirrhosis. Among the data collected were the following serum total
bilirubin (mg/dl) levels after transplantation (h–hours, d–days):
Time After Reperfusion of Donor Liver
Liver Anhepatic
Preoperative Transection Phase 1 h 2 h 4 h 8 h 1 d 2 d 3 d
6.2 1.2 0.9 0.8 1.1 1.5 2 1.4 1.6 1.3
17.6 11.9 9.3 3.5 3 6.1 9 6.3 6.4 6.2
13.2 10.2 7.9 5.3 4.9 3.3 3.6 2.8 1.9 1.9
3.9 3.3 3 2.9 2.3 1.4 1.2 0.8 0.8 0.9
20.8 19.4 * 9.4 8.4 6.8 7.1 3.7 3.8 3.2
1.8 1.8 1.6 1.4 1.4 1.1 1.9 0.7 0.8 0.7
8.6 6.5 4.8 3.1 2.1 1 1.3 1.5 1.6 3.2
13.4 12 10.1 5.8 5.6 4.5 4.1 3 3.1 3.6
16.8 13.9 8.3 3.7 3.7 2.2 2.1 1.9 3.1 4.1
20.4 17.8 17 10.8 9.3 8.9 7 2.8 3.8 4.8
25 21.5 13.8 7.6 7 5 11.5 12.3 10.1 11.4
9.2 6.3 6.8 5.3 4.8 0.2 4 4.2 3.7 3.5
8 6.5 6.4 4.1 3.8 3.8 3.5 3.1 2.9 2.8
2.9 3 4.1 3.4 3.4 3.7 4.2 3.3 2 1.9
21.3 17.3 13.6 9.2 7.9 7.9 9.8 8.6 4.7 5.5
25 25 24 20.1 19.3 18.6 23.6 25 14.4 20.6
23.3 23.7 15.7 13.2 11 9.6 9.3 7.2 6.3 6.3
17.5 16.2 14.4 12.6 12.7 11.5 10 7.8 5.5 4.9
*Missing observation.
Source: Dr. Gotaro Shirakami. Used with permission.
Note that there is a missing observation in the data set. You may handle this problem in at least
three ways.
(a) Omit the subject whose datum is missing, and analyze the data of the remaining 17 subjects.
(b) Use a computer package that automatically deals with missing data.
(c) Analyze the data using a missing data procedure. For such a procedure, see Jerome L. Myers
and Arnold D. Well, Research Design and Statistical Analysis, Erlbaum Associates, Hillsdale, NJ,
1995, pp. 256–258.