Abstract #300533


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JSM 2002 Abstract #300533
Activity Number: 79
Type: Contributed
Date/Time: Monday, August 12, 2002 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section*
Abstract - #300533
Title: Survival Estimation and Testing Via Multiple Imputation
Author(s): Chiu-Hsieh Hsu*+ and Jeremy Taylor+ and Susan Murray
Affiliation(s): University of Michigan and University of Michigan and University of Michigan
Address: 1420 Washington Heights, Ann Arbor, Michigan, 48109, USA 1420 Washington Heights, Ann Arbor, Michigan, 48109-2029, U.S.A.
Keywords: Kaplan-Meier estimate ; multiple imputation ; redistribution to the right
Abstract:

Multiple imputation is a technique for handling data sets with missing values. The method fills in each missing value several times, creating many augmented data sets. Each augmented data set is analyzed separately and the results combined to give a final result consisting of an estimate and a measure of uncertainty. In this paper we consider nonparametric multiple imputation methods to handle missing event times for censored observations in the context of nonparametric survival estimation and testing. Two nonparametric imputation schemes are considered. In risk set imputation, the censored time is replaced by a random draw of the observed times amongst those at risk after the censoring time. In Kaplan-Meier imputation, the imputed time is a draw from the estimated distribution of event times amongst those at risk after the censoring time. We show that with a large number of imputes the estimates from both methods reproduce the Kaplan-Meier estimator. In a simulation study we show that the inclusion of a bootstrap stage in the multiple imputation algorithm gives coverage rates of confidence intervals that are comparable to that from Greenwood's formula.


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