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

A solved assignment comparing survival analysis techniques, including life table and Kaplan-Meier methods in medical research.

Ethan Howard
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Survival Analysis in Medical Research: Comparing Life Table andKaplan-Meier Methods1.A study involves 25 participants who are age 65 years or older and all of themhave diabetes. Each participant is followed for 10 years after a transplant. Times todeath are listed below in years, or the time to last contact of which the participant isknown 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 10years.Use the life table approach to estimate the survival function. Use the years intervalsof 0-2, 2-4.Complete the table below.IntervalInyears# atriskduringintervalAverage# atRiskduringintervalN1=Nt-CT/2# ofdeathsduringinterval,DtLosttoFollowUp, CtProportionDyingQt=Dt/NtProportionSurvivingpt=1-qtSurvivalProbabilitySt=pt*st-10-22525100.04000.96000.96002-42423.5110.04260.95740.91914-62220240.10000.90000.82726-81614240.14290.85710.70918-10105.5190.18180.81820.5801Usethe Kaplan-Meier approach to estimate the survival function.Complete the table below.Time,YearsNumber atRiskNtNumber ofDeathsDtNumberCensoredCtSurvivalProbablilitySt+1=St*((Nt-D1)/Nt)

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