Item response model with t-skew
ligation function

Alessandra Noeli Craveiro PINHEIRO[1]

Josemar RODRIGUES1

§    ABSTRACT: The Item Response Theory (IRT) is a set of mathematical models representing the probability of an individual to take a correct response of an item and its ability. The purpose of our research is to show the models formulated in the IRT under the skew-normal distributions and to develop flexible alternative models. With this goal in mind we introduced the t-skew distributions (Azzalini  et al. 1999) and results similar to Bazan's results are obtained. Some applications using Bayesian methods are also considered.

§    KEYWORDS: TRI; Análise Bayesiana; t-assimétrica; normais assimétricas.



[1] Departamento de Estatística, Universidade Federal de São Carlos - UFSCar, Caixa Postal 676, CEP: 13565-905, São Carlos, SP, Brasil, E-mail: alenoeli@yahoo.com.br / vjosemar@power.ufscar.br