Journal of Mathematics and Statistics

MODERATING ABILITY OF ITEM RESPONSE THEORY THROUGH PRIOR GUESSING PARAMETER

Siow Hoo Leong, Siew Eng Ling and Rasidah Mahdi

DOI : 10.3844/jmssp.2013.277.282

Journal of Mathematics and Statistics

Volume 9, Issue 4

Pages 277-282

Abstract

A psycho-technology approach to discouraging guessing in multiple-choice formatted item can be done through reducing the a priori guessing probability of an item. This study proposes a psychometrics framework of Item Response Theory (IRT) to model the effect of having various priori guessing probabilities across different items. A prior guessing parameter is proposed to serves as a moderator of the ability parameter in the two parameter logistic IRT. The results show that the proposed prior guessing parameter successfully moderates the ability parameters of the subjects with different degrees of guessing. However, the prior guessing parameter is insensitive when the performance pattern is mixed within the testlet but similar across testlet with different priori guessing probabilities.

Copyright

© 2013 Siow Hoo Leong, Siew Eng Ling and Rasidah Mahdi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.