JSM 2005 - Toronto

Abstract #304145

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 225
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #304145
Title: A New Approach to Testing for Sufficient Followup in Cure-rate Analysis
Author(s): Lev Klebanov and Andrei Yakovlev*+
Companies: Charls University and University of Rochester
Address: Department of Biostatistics and Computational Biology, Rochester, NY, 14642, United States
Keywords: sufficient foloow-up ; cure probability ; nonparametric inference ; survival data ; breast cancer
Abstract:

The problem of sufficient followup arises naturally in the context of cure-rate estimation. This problem was brought to the fore by Maller and Zhou (1992, 1994) in an effort to develop nonparametric statistical inference based on a binary mixture model. The authors proposed a statistical test to help practitioners decide whether the period of observation has been long enough for this inference to be theoretically sound. The test is inextricably entwined with estimation of the cure probability by the Kaplan-Meier estimator at the point of last observation. While intuitively compelling, the test by Maller and Zhou does not provide a satisfactory solution to the problem because of its unstable and nonmonotonic behavior when the duration of followup increases. The present paper introduces an alternative concept of sufficient followup, allowing derivation of a lower bound for the expected proportion of immune subjects in a wide class of cure models. By building on the proposed bound, a new statistical test is designed to address the issue of the presence of immunes in the study population.

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