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Doctoral Thesis
DOI
10.11606/T.45.2008.tde-01072008-113514
Document
Author
Full name
Célia Mendes Carvalho Lopes
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2008
Supervisor
Committee
Bolfarine, Heleno (President)
Andrade, Dalton Francisco de
Colosimo, Enrico Antônio
Lima, Antonio Carlos Pedroso de
Louzada Neto, Francisco
Title in Portuguese
Modelos de sobrevivência com fração de cura e efeitos aleatórios
Keywords in Portuguese
efeitos aleatórios
Fração de cura
Metropolis-Hastings.
REML
Abstract in Portuguese
Neste trabalho são apresentados dois modelos de sobrevivência com fração de cura e efeitos aleatórios, um baseado no modelo de Chen-Ibrahim-Sinha para fração de cura e o outro, no modelo de mistura. São estudadas abordagens clássica e bayesiana. Na inferência clássica são utilizados estimadores REML. Para a bayesiana foi utilizado Metropolis-Hastings. Estudos de simulação são feitos para avaliar a acurácia das estimativas dos parâmetros e seus respectivos desvios-padrão. O uso dos modelos é ilustrado com uma análise de dados de câncer na orofaringe.
Title in English
Cure rate models with random effects
Keywords in English
Metropolis-Hastings.
random effects
REML
Surviving fraction
Abstract in English
In this work, it is shown two survival models with long term survivors and random effects, one based on Chen-Ibrahim-Sinha model for models with surviving fraction and the other, on mixture model. We present bayesian and classical approaches. In the first one, we use Metropolis-Hastings. For the second one, we use the REML estimators. A simulation study is done to evaluate the accuracy of the applied techniques for the estimatives and their standard deviations. An example on orofaringe cancer is used to illustrate the models considered in the study.
 
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tesecelialopes.pdf (902.04 Kbytes)
Publishing Date
2008-08-07
 
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