Testes estatísticos em regressão logística sob a condição de separabilidade

• Ano de defesa: 2010
• Autor(a) principal: Souza, André Oliveira
• Orientador(a): Martins Filho, Sebastião
• Banca de defesa: Loschi, Rosângela Helena , Ribeiro Junior, José Ivo
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Viçosa
• Programa de Pós-Graduação: Mestrado em Estatística Aplicada e Biometria
• Departamento: Estatística Aplicada e Biometria
• País: BR
• Palavras-chave em Português: Máxima Verossimilhança Penalizada; Simulação; Teste da Razão de Verossimilhança; Teste de Wald
• Palavras-chave em Inglês: Penalizmmed Maximum Likelihood; Simulation; Likelihood Ratio Test; Wald test
• Área do conhecimento CNPq: CNPQ::CIENCIAS AGRARIAS
• Link de acesso: http://locus.ufv.br/handle/123456789/4032

Logistic regression is the statistical method of analysis used when the objective is to verify the relationship between one dichotomic response variable and explicative variables of interest. Usually, the model parameters are estimated through the genuine maximum likelihood method, and tests about these parameters are built assuming approximated distributions for the estimators. This means that large samples become necessary to obtain trustable results. In studies involving binary data is common the occurrence of one response variable whose success has low probability, in other words, a rare event that can generate a sparse data sample. In such cases, the data are under separability condition, and this situation is frequently associated to the presence of one categorical co-variable, what means that the maximum likelihood estimators do not exist to one parameter at least. In the separability condition it is recommended to use the Penalized Maximum Likelihood method, proposed by Firth (1993). The main objective of this study was to verify the powers of the Likelihood Ratio Test (LRT) and Wald Test obtained through PML under separability condition by Monte Carlo simulation. The presented methodology has been applied to two real data sets. Monte Carlo simulation with one explicative variable in the model made possible to obtain indicatives that the LRT is most powerful than the Wald test.