3. (a) A group of 30 patients are being observed for certain diseases. The entry and exit age of the patient are reported in Table 2. Use this data to calculate the quantity: dk, yk, k, Ak(tk), and S(tk). (b) Another group of six patients are also under observation. Table 3 reports the age the patient exits, the status of exits (1 if death or 0 if left the observation) and the patient gender (one for female, and zero for male). • Based on this data, derive the corresponding partial likelihood function for given gender covariate. • Find the partial likelihood maximizer estimate of the covariate and the corre- sponding Likelihood Ratio test. 2 2-2345678DDENBID152222222222222 1 71 0 1 1 0 1 9 0 10 0 11 0 0 1 1 0 71 1 0 1 19 0 20 0 1 1 1 0 1 1 1 0 29 0 30 1 238220222222222ELOUANAA293622 76 Sex Entry Age Exit Age Censor 10 72 76 1 78 1 66 67 73 70 70 73 70 66 66 223222222222222222222332~22: 74 1 74 1 71 0 72 0 0 70 0 70 1 78 1 68 1 0 73 0 73 1 75 1 70 1 0 76 1 1 74 1 70 1 0 68 0 72 1 73 1 1 70 1 92 1 74 1 68 0 Table 2: Data for Q3(a) ID Sex Age Censor 1 0 67 1 2 1 54 0 3 1 53 1 4 0 51 1 5 0 66 0 6 0 69 0 Table 3: Data for Q3(b)
3. (a) A group of 30 patients are being observed for certain diseases. The entry and exit age of the patient are reported in Table 2. Use this data to calculate the quantity: dk, yk, k, Ak(tk), and S(tk). (b) Another group of six patients are also under observation. Table 3 reports the age the patient exits, the status of exits (1 if death or 0 if left the observation) and the patient gender (one for female, and zero for male). • Based on this data, derive the corresponding partial likelihood function for given gender covariate. • Find the partial likelihood maximizer estimate of the covariate and the corre- sponding Likelihood Ratio test. 2 2-2345678DDENBID152222222222222 1 71 0 1 1 0 1 9 0 10 0 11 0 0 1 1 0 71 1 0 1 19 0 20 0 1 1 1 0 1 1 1 0 29 0 30 1 238220222222222ELOUANAA293622 76 Sex Entry Age Exit Age Censor 10 72 76 1 78 1 66 67 73 70 70 73 70 66 66 223222222222222222222332~22: 74 1 74 1 71 0 72 0 0 70 0 70 1 78 1 68 1 0 73 0 73 1 75 1 70 1 0 76 1 1 74 1 70 1 0 68 0 72 1 73 1 1 70 1 92 1 74 1 68 0 Table 2: Data for Q3(a) ID Sex Age Censor 1 0 67 1 2 1 54 0 3 1 53 1 4 0 51 1 5 0 66 0 6 0 69 0 Table 3: Data for Q3(b)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Please assist with the following questions with the answers.
Transcribed Image Text:3. (a) A group of 30 patients are being observed for certain diseases. The entry and exit
age of the patient are reported in Table 2. Use this data to calculate the quantity:
dk, yk, k, Ak(tk), and S(tk).
(b) Another group of six patients are also under observation. Table 3 reports the age the
patient exits, the status of exits (1 if death or 0 if left the observation) and the patient
gender (one for female, and zero for male).
• Based on this data, derive the corresponding partial likelihood function for
given gender covariate.
• Find the partial likelihood maximizer estimate of the covariate and the corre-
sponding Likelihood Ratio test.
2
2-2345678DDENBID152222222222222
1
71
0
1
1
0
1
9
0
10
0
11
0
0
1
1
0
71
1
0
1
19
0
20
0
1
1
1
0
1
1
1
0
29
0
30
1
238220222222222ELOUANAA293622
76
Sex Entry Age Exit Age Censor
10
72
76
1
78
1
66
67
73
70
70
73
70
66
66
223222222222222222222332~22:
74
1
74
1
71
0
72
0
0
70
0
70
1
78
1
68
1
0
73
0
73
1
75
1
70
1
0
76
1
1
74
1
70
1
0
68
0
72
1
73
1
1
70
1
92
1
74
1
68
0
Table 2: Data for Q3(a)
ID Sex Age Censor
1
0 67
1
2
1 54
0
3
1
53
1
4
0 51
1
5
0 66
0
6
0 69
0
Table 3: Data for Q3(b)
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