Using Item Response Theory in Constructing a Criterion- Referenced Test in Math According to the 3–Parameters Logistic Model

Abstract

This study aimed at using Item Response Theory (IRT) in constructing a Criterion-Referenced Test in math according to the 3–Parameters Logistic Model (3-PLM). To achieve this, a test in Math was designed to measure the student’s achievement in statistics. The test consisted of (28) four choices items. The sample of the study consisted of (411) male and female from the first secondary class - science stream. Results of the study indicated that: (IRT) assumptions were achieved in the study data. Also, students’ responses for 24 items of the test fit (3-PLM), whereas 4 items did not. The results also indicated that items parameters estimations (Difficulty, discrimination and guessing) were acceptable within the indexes available in the literature of educational measurement.