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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/14935

Title: Goodness-of-fit tests for the frailty distribution in proportional hazards models with shared frailty.
Authors: Geerdens, Candida
Claeskens, Gerda
Janssen, Paul
Issue Date: 2013
Citation: BIOSTATISTICS, 14 (3), p. 433-446.
Abstract: Frailty models account for the clustering present in event time data. A proportional hazards model with shared frailties expresses the hazard for each subject.Often a one-parameter gamma distribution is assumed for the frailties. In this paper, we construct formal goodness-of-fit tests to test for gamma frailties. We construct a new class of frailty models that extend the gamma frailty model by using certain polynomial expansions that are orthogonal with respect to the gamma density. For this extended family, we obtain an explicit expression for the marginal likelihood of the data. The order selection test is based on finding the best fitting model in such a series of expanded models. A bootstrap is used to obtain p-values for the tests. Simulations and data examples illustrate the test’s performance.
URI: http://hdl.handle.net/1942/14935
DOI: 10.1093/biostatistics/kxs053
ISI #: 000320433000003
ISSN: 1465-4644
Category: A1
Type: Journal Contribution
Validation: ecoom, 2014
Appears in Collections: Research publications

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