Análise bayesiana em modelos TRI de três parâmetros. / Bayesian analysis for three parameters IRT models

AUTOR(ES)

Katia Antunes Marques

DATA DE PUBLICAÇÃO

2008

RESUMO

In this dissertation the bayesian analysis for three parameters IRT (Item Response Theory) models with binaries and ordinals responses, considering the probit model, was discussed. For both cases, binary and ordinal, techniques based on MCCM (Monte Carlo Markov Chain) were used to estimate the items parameters. For binary response model, was considered two data sets from tests with multipla choices items. For these two data sets, a sensibility study of the priori distributions choice was considered, and also, an analyses of a posteriori estimates of the items parameters: discrimination, difficulties and guessing. A third data set is used to ilustrate the ordinal response model. This come from an elementar statistical course, where a test with open items is considered. The responses are classified in the following categories: correct, wrong or partial correct. The WinBugs software was used to estimate the parameters for the binary model and, for the ordinal model was considered the function MCMCordfactanal from R program.

ASSUNTO(S)

bayesian item response theory) models sensibility mcmc sensibilidade winbugs kendal ordinal response respostas binárias teoria da resposta ao item winbugs mcmc mcmcordfactanal bayesiana kendal binary response respostas dicotômicas probit model mcmcordfactanal respostas dissertativas

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