A study of patients with stage 1 breast cancer is run to assess time to progression to stage II over an observation period of 15 years. Of interest is whether there is a difference in time to progression between patients on two different chemotherapy regimens. Times to progression are measured in years from the time at which the chemotherapy regimen was initiated. (using Excel and show the table) A) Estimate the survival functions (times to progression) for each chemotherapy regimen using the Kaplan-Meier approach. B) Sketch the two survival functions above. C) Test whether there is a significant difference in time to progression between treatment regimens using the log-rank test and a 5% level of significance. D) Compute and interpret the hazard ratio for progression to stage II with the regimen I as compared to regimen 2. Years to progression by chemotherapy regimen Regimen 1 Progression No progression 12 2 6 7 3 4 14 13 11 15 10 8 6 12 Regimen 2 Progression No progression 11 9 4 14 7 13 9 14 13 6
A study of patients with stage 1 breast cancer is run to assess time to progression to stage II over an observation period of 15 years. Of interest is whether there is a difference in time to progression between patients on two different chemotherapy regimens. Times to progression are measured in years from the time at which the chemotherapy regimen was initiated. (using Excel and show the table) A) Estimate the survival functions (times to progression) for each chemotherapy regimen using the Kaplan-Meier approach. B) Sketch the two survival functions above. C) Test whether there is a significant difference in time to progression between treatment regimens using the log-rank test and a 5% level of significance. D) Compute and interpret the hazard ratio for progression to stage II with the regimen I as compared to regimen 2. Years to progression by chemotherapy regimen Regimen 1 Progression No progression 12 2 6 7 3 4 14 13 11 15 10 8 6 12 Regimen 2 Progression No progression 11 9 4 14 7 13 9 14 13 6
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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![A study of patients with stage 1 breast cancer is
run to assess time to progression to stage II over an observation period of
15 years. Of interest is whether there is a difference in time to progression
between patients on two different chemotherapy regimens. Times to
progression are measured in years from the time at which the
chemotherapy regimen was initiated.
(using Excel and show the table)
A) Estimate the survival functions (times to progression) for each
chemotherapy regimen using the Kaplan-Meier approach.
B) Sketch the two survival functions above.
C) Test whether there is a significant difference in time to progression
between treatment regimens using the log-rank test and a 5% level of
significance.
D) Compute and interpret the hazard ratio for progression to stage II with
the regimen I as compared to regimen 2.
Years to progression by chemotherapy regimen
Regimen 11
Progression No progression
12
14
13
11
15
10
8
2
6
7
3
4
6
12
Regimen 2
Progression No progression
9
11
4
14
7
13
9
14
13
6
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd0db42a-6bc6-4fb8-919d-acf0eaef6eca%2Fd7dacbdc-a1f0-47df-b61f-1cfdc1b81e8d%2F7pdmap9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A study of patients with stage 1 breast cancer is
run to assess time to progression to stage II over an observation period of
15 years. Of interest is whether there is a difference in time to progression
between patients on two different chemotherapy regimens. Times to
progression are measured in years from the time at which the
chemotherapy regimen was initiated.
(using Excel and show the table)
A) Estimate the survival functions (times to progression) for each
chemotherapy regimen using the Kaplan-Meier approach.
B) Sketch the two survival functions above.
C) Test whether there is a significant difference in time to progression
between treatment regimens using the log-rank test and a 5% level of
significance.
D) Compute and interpret the hazard ratio for progression to stage II with
the regimen I as compared to regimen 2.
Years to progression by chemotherapy regimen
Regimen 11
Progression No progression
12
14
13
11
15
10
8
2
6
7
3
4
6
12
Regimen 2
Progression No progression
9
11
4
14
7
13
9
14
13
6
9
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