6.7 7.3 1. A study is conducted to estimate survival in patients following kidney transplant. Key factors that adversely affect success of the transplant include advanced age and diabetes. This study involves 25 participants who are 65 years of age and older and all have diabetes. Following transplant, each participant is followed for up to 10 years. The following are times to death, in years, or the time to last contact (at which time the participant was known to be alive) 8.2 8.6 8.9 9.4 9.5 10.0 Deaths 1.2, 2.5, 4.3, 5.6, 6.7, 7.3 and 8.1 years Alive 3.4, 4.1, 4.2. 5.7, 5.9. 6.3. 6.4. 6.5, 7.3. 8.2, 8.6. 8.9, 9.4. 9.5. 10. 10. 10, and 10 years Use the life table approach to estimate the survival function. Use years intervals of 0-2; 2-4; Complete the table below NumberAverage 0.9 Number Interval At Risk Number At of Deaths Lost to Survival Surviving Probability Follow Proportion Proportion 08 During Risk DuringDuring in in Years Interva, Interval, Interval, Ct 0.7 0-2 2-4 06 a 05 8-10 04 Use the Kaplan-Meier approach to estimate the survival function. Complete the table below 0.3 Number aNumber ofNumber Survival Probability Time, Years DeathsCensoredStri S*N Risk Nt 25 02 D)Nt) Dt Ct 0 1.2 2.5 2 9 10 Time, Years Referring to the graph above: 4.2 4.3 5.6 5.7 What is the probability of surviving 6.5 years? A. 0.3 B. 0.15 C. 0.99 D. None of the above 6.3 6.4 6.5 Patients have an 85% chance of surviving how many years? Page 1 of 5 Page 2 of 5

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 3EA
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Question
6.7
7.3
1. A study is conducted to estimate survival in patients following kidney transplant.
Key factors that adversely affect success of the transplant include advanced age
and diabetes. This study involves 25 participants who are 65 years of age and older
and all have diabetes. Following transplant, each participant is followed for up to
10 years. The following are times to death, in years, or the time to last contact (at
which time the participant was known to be alive)
8.2
8.6
8.9
9.4
9.5
10.0
Deaths 1.2, 2.5, 4.3, 5.6, 6.7, 7.3 and 8.1 years
Alive 3.4, 4.1, 4.2. 5.7, 5.9. 6.3. 6.4. 6.5, 7.3. 8.2, 8.6. 8.9, 9.4. 9.5. 10. 10. 10,
and 10 years
Use the life table approach to estimate the survival function. Use years intervals of
0-2; 2-4;
Complete the table below
NumberAverage
0.9
Number
Interval At Risk Number At of Deaths
Lost to
Survival
Surviving Probability
Follow Proportion Proportion
08
During Risk DuringDuring
in
in
Years Interva, Interval,
Interval,
Ct
0.7
0-2
2-4
06
a 05
8-10
04
Use the Kaplan-Meier approach to estimate the survival function.
Complete the table below
0.3
Number aNumber ofNumber Survival Probability
Time,
Years
DeathsCensoredStri S*N
Risk
Nt
25
02
D)Nt)
Dt
Ct
0
1.2
2.5
2
9
10
Time, Years
Referring to the graph above:
4.2
4.3
5.6
5.7
What is the probability of surviving 6.5 years?
A. 0.3
B. 0.15
C. 0.99
D. None of the above
6.3
6.4
6.5
Patients have an 85% chance of surviving how many years?
Page 1 of 5
Page 2 of 5
Transcribed Image Text:6.7 7.3 1. A study is conducted to estimate survival in patients following kidney transplant. Key factors that adversely affect success of the transplant include advanced age and diabetes. This study involves 25 participants who are 65 years of age and older and all have diabetes. Following transplant, each participant is followed for up to 10 years. The following are times to death, in years, or the time to last contact (at which time the participant was known to be alive) 8.2 8.6 8.9 9.4 9.5 10.0 Deaths 1.2, 2.5, 4.3, 5.6, 6.7, 7.3 and 8.1 years Alive 3.4, 4.1, 4.2. 5.7, 5.9. 6.3. 6.4. 6.5, 7.3. 8.2, 8.6. 8.9, 9.4. 9.5. 10. 10. 10, and 10 years Use the life table approach to estimate the survival function. Use years intervals of 0-2; 2-4; Complete the table below NumberAverage 0.9 Number Interval At Risk Number At of Deaths Lost to Survival Surviving Probability Follow Proportion Proportion 08 During Risk DuringDuring in in Years Interva, Interval, Interval, Ct 0.7 0-2 2-4 06 a 05 8-10 04 Use the Kaplan-Meier approach to estimate the survival function. Complete the table below 0.3 Number aNumber ofNumber Survival Probability Time, Years DeathsCensoredStri S*N Risk Nt 25 02 D)Nt) Dt Ct 0 1.2 2.5 2 9 10 Time, Years Referring to the graph above: 4.2 4.3 5.6 5.7 What is the probability of surviving 6.5 years? A. 0.3 B. 0.15 C. 0.99 D. None of the above 6.3 6.4 6.5 Patients have an 85% chance of surviving how many years? Page 1 of 5 Page 2 of 5
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