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Data are shown in Table E2.27 for two groups of patients who died of acute myelogenous leukemia. Patients were classified into the two groups according to the presence or absence of a morphologic characteristic of white cells. Patients termed AG positive were identified by the presence of Auer rods and/or significant granulature of the leukemic cells in the bone marrow at diagnosis. For AG-negative patients, these factors were absent. Leukemia is a cancer characterized by an overproliferation of white blood cells; the higher the white blood count (WBC), the more severe the disease.
AG Positive, N = 17
Survival Time
WBC (weeks)
AG Negative, N = 16
2,300 65
4,400
56
750 156
3,000
65
4,300 100
4,000
17
2,600 134
1,500
7
6,000 16
9,000
16
10,500 108
5,300
22
10,000 121
10,000
3
17,000 4
19,000
4
5,400 39
27,000
2
7,000 143
28,000
9,400 56
31,000
8
32,000 26
26,000
35,000 22
21,000
100,000 1
79,000
30
100,000
52,000 5
43
100,000 65
(a) Calculate separately for each group (AG positive and AG negative) the mean x, variance s2, and standard deviation s for survival time.
(b) Calculate separately for each group (AG positive and AG negative) the mean, geometric mean, and median for white blood count.
Suppose the probability of the worst-case scenario increases Compute the expected value of perfect information
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