Testes de hipóteses em modelos de sobrevivência com Fração de cura

• Ano de defesa: 2012
• Autor(a) principal: Carneiro, Hérica Priscila de Araújo
• Orientador(a): Valença, Dione Maria
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal do Rio Grande do Norte
• Programa de Pós-Graduação: Programa de Pós-Graduação em Matemática Aplicada e Estatística
• Departamento: Probabilidade e Estatística; Modelagem Matemática
• País: BR
• Palavras-chave em Português: análise de sobrevivência; fração de cura; modelo unicado; teste gradiente
• Palavras-chave em Inglês: survival analysis; cure rate; unified model; gradient test
• Área do conhecimento CNPq: CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADA
• Link de acesso: https://repositorio.ufrn.br/jspui/handle/123456789/18644

Survival models deals with the modeling of time to event data. However in some situations part of the population may be no longer subject to the event. Models that take this fact into account are called cure rate models. There are few studies about hypothesis tests in cure rate models. Recently a new test statistic, the gradient statistic, has been proposed. It shares the same asymptotic properties with the classic large sample tests, the likelihood ratio, score and Wald tests. Some simulation studies have been carried out to explore the behavior of the gradient statistic in fi nite samples and compare it with the classic statistics in diff erent models. The main objective of this work is to study and compare the performance of gradient test and likelihood ratio test in cure rate models. We first describe the models and present the main asymptotic properties of the tests. We perform a simulation study based on the promotion time model with Weibull distribution to assess the performance of the tests in finite samples. An application is presented to illustrate the studied concepts