The extent of compatibility between the classical theory and the two-parameter logistic model in constructing an achievement test in mathematics for the eighth basic grade (A comparative study)

Abstract

This study aimed at detecting the compatibility between the classical theory and the two-parameter logistic model in conformity the items of an achievement test in mathematics. To achieve the aim of the study, an achievement test was built in the mathematics subject of the eighth basic grade. The test consisted of (50) multiple-choice items, and it was applied to a purposive sample of (580) male and female students of the eighth basic grade in the Nablus Governorate. The researcher relied on the SPSS software to analyses the data according to the classical theory, while the MULTILOG.7 software was used to analyse the data according to the two-parameter logistic model. The results showed that (49) items conformity the classical theory, while all the items conformity the Item Response Theory according to the two-parameter logistic model. The value of the reliability coefficient of the test according to the classical theory was (0.921), while it was according to the two-parameter logistic model (0.953), while the validity coefficient according to the classical theory was (0.945) and according to the two-parameter logistic model (0.895).