Teoria de resposta ao item aplicada no ENEM

• Ano de defesa: 2017
• Autor(a) principal: Costa, Sidney Tadeu Santiago
• Orientador(a): Santos, Fabiano Fortunato Teixeira dos
• Banca de defesa: Santos, Fabiano Fortunato Teixeira dos, Pereira, Rosane Gomes, Vasconcelos, José Eder Salvador de
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Goiás
• Programa de Pós-Graduação: PROFMAT - Programa de Pós-graduação em Matemática em Rede Nacional - Sociedade Brasileira de Matemática (IME)
• Departamento: Instituto de Matemática e Estatística - IME (RG)
• País: Brasil
• Palavras-chave em Português: Teoria de resposta ao item; Método da máxima verossimilhança
• Palavras-chave em Inglês: Item response theory – IRT; Maximum likelihood method - MMV
• Área do conhecimento CNPq: PROBABILIDADE E ESTATISTICA::ESTATISTICA
• Link de acesso: http://repositorio.bc.ufg.br/tede/handle/tede/6944

With the note gotten in the Exame Nacional do Ensino Médio - ENEM the students can applay the vacant in diverse public institutions of superior education and programs of the government, for example, the program Universidade para Todos(Prouni) and the Fundo de Financiamento Estudantil (Fies). The ENEM uses a methodology of correction of the objective questions called Theory of Reply to the Item - TRI, that has some aspects that are different of the Classic Theory of the Tests - TCT. The main factor that determines the result of a citizen in a avaliativo process where if uses the TCT, is the number of correct answers, while in the TRI, beyond the amount of rightnesss is basic if to analyze which answers they are correct. The objective of this work is to explain what it is the TRI and as if it applies this methodology in evaluations of wide scale. A historical boarding of the logistic models used by the TRI and the justification of the existence of each parameter will be made that composes the main equation of the modeling. To determine each parameter that composes the model of the TRI and to calculate the final note of each candidate, a procedure of called optimization will be used Method of Maximum Probability - MMV. The computational tools in the work had been software R, with packages developed for application of the TRI and the Visual programming language beginner’s all-purpose symbolic instruction code to program functions, called as macros, in electronic spread sheets.