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Abstract Details

Activity Number: 218
Type: Invited
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: WNAR
Abstract - #303501
Title: Nonparametric Tests for the Frailty Distribution in Proportional Hazards Models with Shared Frailty
Author(s): Gerda Claeskens*+
Companies: K. U. Leuven
Address: Naamsestraat 69, Leuven, International, 3000, Belgium
Keywords: frailty distribution ; series expansion ; nonparametric test ; random effect

Testing for observable structures (such as the shape of a mean function) has been well studied. In this talk tests for more indirect quantities will be discussed. Correlated survival data are often modeled via proportional hazards models with a shared frailty. A common assumption is that the frailty distribution is gamma. We construct tests for the null hypothesis of a gamma frailty distribution that are nonparametric in spirit and that are in the style of the order selection tests for the normality of the random effects in linear mixed models, using ideas of flexible modeling of random effects by series expansions. A new class of frailty models is constructed that extend the gamma frailty model by using certain polynomial expansions that are orthogonal with respect to the gamma density. Simulations and data examples illustrate the test's performance.

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