أثر طرق تقدير القدرة للأفراد على دقة معادلة الاختبارات في نظرية الاستجابة للمفردة

Abstract EN

The current study aimed to identify the effect of methods of estimation of individuals ability on accuracy of equating test in Item Response Theory.

The study sample consisted of students with higher grades from both primary and intermediate schools in Jeddah.

to this end, the Otis Lennon qualification test in its two forms (second primary and intermediate) was used.

each form composed of (80) items that was administered to a pilot study consisting of (208) students, and (10) items were selected from each form from a total of (20) items that represent the common items.

then the tools were applied to the sample and data were obtained in which the percentages of missing values were (5.5%) for the primary stage and (5.6) for the intermediate school.

the estimation of the ability was based on four methods of estimation as follow : maximum likelihood estimation (MLE) method, expected a posterior (EAP), Bayesian method Xcalibre was used to estimate and verify data conformity to the model.

to reveal the accuracy of the vertical equation in item response theory with different treatment methods for estimation methods, the standard error criterion was used.

the results showed that the weighted maximum likelihood estimation method (WML) provided the best results and the least standard error in the presence of missing values and through the Xcalibre program.