Algumas propostas para imputação de dados faltantes em Teoria de Resposta ao Item

In this work we have studied two imputation procedures for missing data when fitting the three parameters model in item response theory studies. The first proposed method uses as the probability of imputation of correct response the value obtained from the logistic regression of the correct (1) and...

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Detalles Bibliográficos
Autor Principal: Pereira, Edna Alessandra
Outros autores: Gomes, Antonio Eduardo
Formato: Dissertação
Idioma:portugués
Publicado: Universidade de Brasília 2024
Subjects:
Acceso en liña:https://hdl.handle.net/20.500.14135/931
Descripción
Summary:In this work we have studied two imputation procedures for missing data when fitting the three parameters model in item response theory studies. The first proposed method uses as the probability of imputation of correct response the value obtained from the logistic regression of the correct (1) and incorrect (0) answers as a function of the difficulty parameter estimates for the items with responses. We take the fitted logisitic curve and calculate the probability of imputation of positive response as a function of the value of the difficulty parameter estimates for the non responded items. The second method is similar to the first one, but we use the probability of imputation of a positive response provided by the kernel smoothed isotonic regression obtained taking the probability of positive response as a decreasing function of the estimated difficulty parameter for each item with a response. In a simulation study, the estimates of the item parameters and proficiency were compared to the real values and also to the estimates obtained for the data with no missing responses.