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Using the EM-algorithm for survival data with incomplete categorical covariates
Authors:Stuart R. Lipsitz  Joseph G. Ibrahim
Affiliation:(1) Department of Biostatistics, Harvard School of Public Health, 44 Binney Street, 02115 Boston, MA, U.S.A.;(2) Division of Biostatistics, Dana Farber Cancer Institute, 44 Binney Street, 02115 Boston, MA, U.S.A.;(3) Department of Biostatistics, Harvard School of Public Health, 44 Binney Street, 02115 Boston, MA, U.S.A.;(4) Division of Biostatistics, Dana Farber Cancer Institute, 44 Binney Street, 02115 Boston, MA, U.S.A.
Abstract:Incomplete covariate data is a common occurrence in many studies in which the outcome is survival time. With generalized linear models, when the missing covariates are categorical, a useful technique for obtaining parameter estimates is the EM by the method of weights proposed in Ibrahim (1990). In this article, we extend the EM by the method of weights to survival outcomes whose distributions may not fall in the class of generalized linear models. This method requires the estimation of the parameters of the distribution of the covariates. We present a clinical trials example with five covariates, four of which have some missing values.
Keywords:ignorable missing data  missing at random  non-informative censoring  Weibull distribution
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