Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival
|
Time in Years |
Number at Risk, Nt |
Number of Deaths, Dt |
Number Censored, Ct |
Survival Probability |
|
0 |
20 |
|
|
1 |
|
1 |
20 |
3 |
|
|
|
2 |
17 |
|
1 |
|
|
3 |
16 |
2 |
1 |
|
- A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85.
- B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study.
- C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment.
- D) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study and for individuals who decided against all forms of treatment.
Step by step
Solved in 2 steps
