Abstract
Item response theory (IRT) provides statistical models that relate an examinee’s response to a test item to an underlying latent trait that is measured by the items. Unlike classical test theory, IRT models focus on the responses to individual questions instead on the total score obtained in the test.
In this paper we apply IRT models to the results of the quiz part of the first and second calls of mathematics exams accomplished by high school graduating students in Portugal, in the years 2008–2010. We concluded that the quiz part of the first call exams had a difficulty level lower than the students median ability, whereas the quiz part of the second call exams had a difficulty level higher than the students median ability.
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References
Costa, P., Oliveira, P., Ferrão, M.: Statistical issues on multiple choice tests in engineering assessment. In: Bogaard, M., Graaf, E., Saunders-Smith, G. (eds.) Proceedings of the 37th Sefi Conference, Rotterdam, Delft University of Technology (2009)
Drasgow, F., Lissak, R.: Modified parallel analysis: a procedure for examining the latent dimensionality of dichotomously scored item responses. J. Appl. Psychol. 68, 363–373 (1983)
Lawson, D.: Applying the item response theory to classroom examinations. J. Manipulative Physiol. Ther. 29(5), 393–397 (2006)
Lord, F., Novick, M.: Statistical Theories of Mental Test Scores. Addison-Wesley Series in Behavioral Science. Addison-Wesley Pub. Co., Reading (1968)
Olivia, S.: Relatório de análise de resultados - Prova de aferição de Matemática de 1o ciclo. Available in http://www.gave.min-edu.pt (2008)
Rizopoulos, D.: ltm: an R package for latent variable modelling and item response theory analyses. J. Stat. Softw. 17(5), 1–25 (2006)
Vendramini, C., Silva, M., Canale, M.: Analysis of items of a statistical reasoning test. Psicologia em Estudo 9(83), 487–498 (2004)
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Jacinto, G., Infante, P., Pereira, C. (2014). Application of Item Response Theory to Mathematics High School Exams in Portugal. In: Pacheco, A., Santos, R., Oliveira, M., Paulino, C. (eds) New Advances in Statistical Modeling and Applications. Studies in Theoretical and Applied Statistics(). Springer, Cham. https://doi.org/10.1007/978-3-319-05323-3_26
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DOI: https://doi.org/10.1007/978-3-319-05323-3_26
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