The item information function in one and two-parameter logistic models – a comparison and use in the analysis of the results of school tests

• Authors: Anna Zięba
• Languages of publication: EN

Abstracts

EN

This paper presents a very important problem in the theory of IRT, namely the Item Information Function. It presents the similarities and differences in the approach to this problem for the one-parameter Rasch model and the two-parameter Birnbaum model. All kinds of relationships are presented in graphs. Additionally, special attention is paid to the interpretation of these graphs and the results.

Keywords

EN

item information function; Rasch Model; Birnbaum Model

• Publisher: Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
• Journal: Didactics of Mathematics
• Year: 2013
• Issue: 10(14)
• Pages: 87-96

Contributors

author

Anna Zięba

References

• Andersen E.B. (1983). Latent trait models. Journal of Econometrics 22. University of Copenhagen. North – Holland Publishing Company. Pp. 215-227 (for Birnbaum and Rasch models).
• Andrich D. (1978). A rating formulation for ordered response categories. Psychometrika 43. Pp. 561-573.
• Brzeziński J. (red.) (2005). Wprowadzenie do teorii odpowiedzi na pozycje testu. W: “Trafność i rzetelność testów psychologicznych. Wybór tekstów”. Gdańskie Wydawnictwo Psychologiczne. Pp. 213-267.
• Hambleton R.K., Swaminathan H., Rogers H.J. (1991). Fundamentals of Item Response Theory. Sage Publications. USA.
• Hambleton R.K., van der Linden W.J. (1997). Handbook of Modern Item Response Theory. Springer-Verlag. New York. Pp. 85-123.