Modeling a Multiple Choice Mathematics Test with the Rasch Model

Ahmad Zamri bin Khairani   and Nordin bin Abd  Razak

doi:10.17485/ijst/2015/v8i12/70650

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Modeling a Multiple Choice Mathematics Test with the Rasch Model

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i12/70650

Year: 2015, Volume: 8, Issue: 12, Pages:

Original Article

Modeling a Multiple Choice Mathematics Test with the Rasch Model

Ahmad Zamri bin Khairani^* and Nordin bin Abd. Razak

School of Educational Studies, Universiti Sains Malaysia, Penang, 11800, Malaysia; ahmadzamri@usm.my

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The purpose of the present study is to demonstrate adequacy of Rasch Model in modeling two important parameters in educational measurement, namely, students’ ability and items’ difficulty. 307 students provide response in a 40-item multiple choice test for the modeling using WINSTEPS 3.63. Results showed that 2 items do not fit the model’s expectation, and thus dropped from further analysis. Statistics as well as positioning on the common scale for both parameters are also discussed. In short, the modeling is able to provide richer interpretations of the data collected.

Keywords: Item Difficulty, Mathematics, Multiple Choice Test, Rasch Model, Students Ability