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Revisiting the Samejima-Bolfarine-Bazan IRT models: New features and extensions

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Autor(es):
Bazan, Jorge Luis ; Ari, Sandra Elizabeth Flores ; Azevedo, Caio L. N. ; Dey, Dipak K.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 37, n. 1, p. 25-pg., 2023-03-01.
Resumo

In 2010, the Samejima-Bolfarine-Bazan (SBB) Item Response Theory (IRT) models were introduced by (Journal of Educational and Be-havioral Statistics 35 (2010) 693-713) under a Bayesian approach. These models extend the regular Bayesian One and Two Parameter Logistic IRT models by incorporating a parameter accounting for asymmetry of the Item Characteristic Curve (ICC) which is named the complexity of the item. It includes the Logistic Positive Exponent (LPE) IRT model formulated ini-tially by (Psychometrika 65 (2000) 319-335) and the Reflection of the LPE (RLPE). In the present work, new properties of the SBB models are devel-oped including a random effect for testlet structures with a Bayesian inference through a Markov chain Monte Carlo (MCMC) algorithm which includes the parameter estimation and model comparison. The asymmetric behavior of the Item Characteristic Curve (ICC) is detected using a marginal item informa-tion function. Two simulation studies are developed to analyze the sensitive-ness of the penalized parameter in the asymmetric behavior of the ICC and to evaluate the parameter recovery of the proposed model. A real data set, with a testlet structure and empirical evidence of asymmetric behavior of the ICCs, is used to apply the models. (AU)

Processo FAPESP: 21/11720-0 - Aprendizagem supervisionada em dados de resposta limitada auxiliados por computador com aplicações em dados desbalanceados
Beneficiário:Jorge Luis Bazan Guzman
Modalidade de apoio: Auxílio à Pesquisa - Regular