Description
1. You are given the following right-censored sample
12, 15+, 17, 17, 18, 19+, 20, 20, 20+, 21+, 24, 27
Test if the hazard function h(t) = 0.2, 0 < t < 27.
2. You are given the following data:
Group 1 : 2,2,3+,3,4,4+,5,5,6+
Group 2 : 2, 3,3,3+,4,4,4+,5,5+5+,6,7
+:censored
Test if these two groups of data have the same distribution.
3. The following table gives survival data from 30 patients with AML. Two possible
prognostic factors are considered:
x1 =
(
1 if patient ≥ 50 years old
0 otherwise
x2 =
(
1 if cellularity of mallow clot section is 100%
0 otherwise
Table. Survival Times and Data of Two Possible
Prognostic Factors and 30 AML Patients
Survival Time x1 x2 Survival Time x1 x2
18 0 0 8 1 0
9 0 1 2 1 1
28+ 0 0 26+ 1 0
31 0 1 10 1 1
39+ 0 1 4 1 0
19+ 0 1 3 1 0
45+ 0 1 4 1 0
6 0 1 18 1 1
8 0 1 8 1 1
15 0 1 3 1 1
23 0 0 14 1 1
28+ 0 0 3 1 0
7 0 1 13 1 1
12 1 0 13 1 1
9 1 0 35+ 1 0
Test if the prognostic factors are significance.
4. A data set is given in “ass3data.xls” on the blackboard system. It contains
“Times” in Column 1, “Group” in Column 2 and “Treatment” in Column 3.
Note that there is no censoring in the data set.
(a) test if there is difference among groups
(b) test if there is difference among treatments
5. A data set is given in “ass3q5.csv” on the blackboard. It contains Time, Status
(0: lived; 1: death) and Smoking Status. Use the seed 123457, generate a subsample of size 100 and then test if there are any difference among the Smoking
Status based on this subsample.
