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Activity Number: 526
Type: Invited
Date/Time: Thursday, August 10, 2006 : 10:30 AM to 12:20 PM
Sponsor: Biopharmaceutical Section
Abstract - #305077
Title: Adjusted Nelson-Aalen Estimator with Inverse Probability of Treatment Weighting
Author(s): Jun Xie*+ and Chaofeng Liu
Companies: Purdue University and Eli Lilly and Company
Address: Department of Statistics, West Lafayette, IN, 47907,
Keywords: adjusted Nelson-Aalen estimator ; hazards rate ; inverse probability of treatment weighting ; weighted log-rank test
Abstract:

Estimation and group comparison of survival rates are two very common issues in survival analysis. In nonrandomized clinical trials or observational studies, the Nelson-Aalen estimator of hazards rate function may be biased due to unbalanced distributions of confounding variables. We develop an Adjusted Nelson-Aalen Estimator (ANAE) with Inverse Probability of Treatment Weighting (IPTW). Each observation is weighted by its inverse probability of being in a certain group. The ANAE estimates marginal hazards rate function without the assumption of proportionality. It is a consistent estimate. A weighted log-rank test is developed for comparing group difference of hazards rates. Simulation and real data studies illustrate the ANAE and weighted log-rank test outperform the Nelson-Aalen estimate, and it does better than or as well as other estimators based on stratification.


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