Survival Analysis in Medical Research: Comparing Life Table and Kaplan-Meier Methods

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Survival Analysis in Medical Research: Comparing Life Table and Kaplan - Meier Methods 1. A study involves 25 participants who are age 65 years or older and all of them have diabetes. Each participant is followed for 10 years after a transplant. Times to death are listed below in years, or the time to last contact of which the participant is known to be alive. 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 the years intervals of 0 - 2, 2 - 4. Complete the table below. Interva l In years # at risk during interva l Averag e # at Risk during interval N1=Nt - CT/2 # of deaths during interval , Dt Lost to Follo w Up, Ct Proportio n Dying Qt=Dt/Nt Proportio n Surviving pt=1 - qt Survival Probabilit y St=pt*st - 1 0 - 2 25 25 1 0 0.0400 0.9600 0.9600 2 - 4 24 23.5 1 1 0.0426 0.9574 0.9191 4 - 6 22 20 2 4 0.1000 0.9000 0.8272 6 - 8 16 14 2 4 0.1429 0.8571 0.7091 8 - 10 10 5.5 1 9 0.1818 0.8182 0.5801 Use the Kaplan - Meier approach to estimate the survival function. Complete the table below. Time, Years Number at Risk Nt Number of Deaths Dt Number Censored Ct Survival Probablility St+1=St*((Nt - D1)/Nt)
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