5. Initially, 500 lives, each aged 0, were included in study of time of death. You are given the following information about the study participants at the first five death times. Number of deaths at t Exists in (tfu) 4 22.0 10 2 31.5 3 50.7 51.3 1 35 1 4 1 53.0 (a) Calculate the risk sets at each of the death times, and estimate the conditional and unconditional survival probability estimates up to age 53, using the Kaplan-Meier method. Put your answer in the format of a table with headers. jo d Pu $(), t sI
5. Initially, 500 lives, each aged 0, were included in study of time of death. You are given the following information about the study participants at the first five death times. Number of deaths at t Exists in (tfu) 4 22.0 10 2 31.5 3 50.7 51.3 1 35 1 4 1 53.0 (a) Calculate the risk sets at each of the death times, and estimate the conditional and unconditional survival probability estimates up to age 53, using the Kaplan-Meier method. Put your answer in the format of a table with headers. jo d Pu $(), t sI
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:5. Initially, 500 lives, each aged 0, were included in study of time of death. You are given the
following information about the study participants at the first five death times.
Number of deaths at tin
Exists in (fya)
4
1
22.0
1
10
31.5
1
35
3.
50.7
1
51.3
1
53.0
1
(a) Calculate the risk sets at each of the death times, and estimate the conditional and
unconditional survival probability estimates up to age 53, using the Kaplan-Meier method.
Put your answer in the format of a table with headers.
j d c P
(b) There data were later combined with another study. In the new study, 100 lives were
observed from age 50. No lives were censored before age 53, and there were individual
deaths observed at ages 51.5 and 51.8. Calculate the revised table in part (a) given this
additional information.
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