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International Journal of Scientific and Engineering Research
ISSN Online 2229-5518
ISSN Print: 2229-5518 8    
Website: http://www.ijser.org
scirp IJSER >> Volume 3,Issue 8,August 2012
Modelling Students' Mathematical Ability and Items' Difficulty Parameters: Application of the Rasch Measurement Model
Full Text(PDF, )  PP.123-127  
Author(s)
Ahmad Zamri bin Khairani, Nordin bin Abd. Razak, Hasni binti Shamsuddin
KEYWORDS
— mathematical ability, item difficulty, students’ ability, Rasch Measurement Model
ABSTRACT
Measurement of students' ability is one of the most important purposes of educational measurement. Nevertheless, the purpose is considered difficult and inadequate based on the inappropriateness of the analyses used, especially when the students' ability measurement is always dependent of the test chosen for the studies. The purpose of this study is to explore the adequacy of the Rasch Measurement Model to provide so-called 'test-free' estimation of students' ability parameter based on their response in a set of items. A total of 411 Form 2 students were employed as sample for this study while a 40 multiple-choice Mathematics items provide a set of data for the modeling purpose. A Rasch Measurement Model software, the WINSTEPS 3.63 is employed for the purpose. Result showed that there is enough evidence of consistency between what been expected by the model and what been observed by the data. In short, results show that the Rasch Model analysis is able to provide richer interpretation towards better understanding of students' mathematical ability based on difficulty of the items. Implications of the results towards educational measurement are also reported.
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