Detalhes bibliográficos
Ano de defesa: |
2014 |
Autor(a) principal: |
Tomaya, Lorena Yanet Cáceres |
Orientador(a): |
Andrade Filho, Mario de Castro
 |
Banca de defesa: |
Não Informado pela instituição |
Tipo de documento: |
Dissertação
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Tipo de acesso: |
Acesso aberto |
Idioma: |
por |
Instituição de defesa: |
Universidade Federal de São Carlos
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Programa de Pós-Graduação: |
Programa de Pós-Graduação em Estatística - PPGEs
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Departamento: |
Não Informado pela instituição
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País: |
BR
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Palavras-chave em Português: |
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Palavras-chave em Inglês: |
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Área do conhecimento CNPq: |
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Link de acesso: |
https://repositorio.ufscar.br/handle/20.500.14289/4584
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Resumo: |
The usual regression model fits data under the assumption that the explanatory variable is measured without error. However, in many situations the explanatory variable is observed with measurement errors. In these cases, measurement error models are recommended. We study a structural measurement error model for replicated observations. Estimation of parameters of the proposed models was obtained by the maximum likelihood and maximum pseudolikelihood methods. The behavior of the estimators was assessed in a simulation study with different numbers of replicates. Moreover, we proposed the likelihood ratio test, Wald test, score test, gradient test, Neyman's C test and pseudolikelihood ratio test in order to test hypotheses of interest related to the parameters. The proposed test statistics are assessed through a simulation study. Finally, the model was fitted to a real data set comprising measurements of concentrations of chemical elements in samples of Egyptian pottery. The computational implementation was developed in R language. |