A general framework of latent trait item response models for continuous responses is given. In contrast to classical test theory (CTT) models, which traditionally distinguish between true scores and error scores, the responses are clearly linked to latent traits. It is shown that CTT models can be derived as special cases, but the model class is…

Test-takers, policymakers, teachers, and institutions are increasingly demanding that testing programs provide more detailed feedback regarding test performance. As a result, there has been a growing interest in the reporting of subscores that potentially provide such detailed feedback. Haberman developed a method based on classical test theory…

The paper proposes new measures of difficulty and discriminating values of binary items and test consisting of such items and find their relationships including estimation of test error variance and thereby the test reliability, as per definition using cosine similarities. The measures use entire data. Difficulty value of test and item is defined…

Conducting a fair test is important for educational research. Unfair assessments can lead to gender disparities in academic achievement, ultimately resulting in disparities in opportunities, wages, and career choice. Differential Item Function [DIF] analysis is presented to provide evidence of whether the test is truly fair, where it does not harm…

Testing English writing skills could be multi-dimensional; thus, the study aimed to compare students' writing scores calculated according to Classical Test Theory (CTT) and Multi-Facet Rasch Model (MFRM). The research was carried out in 2019 with 100 university students studying at a foreign language preparatory class and four experienced…

A conceptualization of multiple-choice exams in terms of signal detection theory (SDT) leads to simple measures of item difficulty and item discrimination that are closely related to, but also distinct from, those used in classical item analysis (CIA). The theory defines a "true split," depending on whether or not examinees know an item,…

This simulation study examines the characteristics of the Explanatory Item Response Model (EIRM) when estimating treatment effects when compared to classical test theory (CTT) sum and mean scores and item response theory (IRT)-based theta scores. Results show that the EIRM and IRT theta scores provide generally equivalent bias and false positive…

Foreign language testing is a multi-dimensional phenomenon and obtaining objective and error-free scores on learners' language skills is often problematic. While assessing foreign language performance on high-stakes tests, using different testing approaches including Classical Test Theory (CTT), Generalizability Theory (GT) and/or Item Response…

A scoring framework that does not reflect true performance of an examinee would ultimately result in an abnormal score. This study assessed invariance person estimates of 2017 Nigerian National Examinations Council Basic Education Certificate Examination Mathematics Multiple Choice using classical test theory (CTT) and item response theory (IRT)…

Considerable research has examined the use of rapid guessing measures to identify disengaged item responses. However, little is known about students who rapidly guess over the course of several tests. In this study, we use achievement test data from six administrations over three years to investigate whether rapid guessing is a stable trait-like…

The goal of this study is to determine the reliability of the performance points of dentistry students regarding communication skills and to examine the scoring reliability by generalizability theory in balanced random and fixed facet (mixed design) data, considering also the interactions of student, rater and duty. The study group of the research…

The aim of this simulation study, determine the relationship between true latent scores and estimated latent scores by including various control variables and different statistical models. The study also aimed to compare the statistical models and determine the effects of different distribution types, response formats and sample sizes on latent…

The aim of this study was to develop, for the benefit of both test takers and test score users, enhanced "TOEFL ITP"® test score reports that go beyond the simple numerical scores that are currently reported. To do so, we applied traditional scale anchoring (proficiency scaling) to item difficulty data in order to develop performance…

There is a need for developmentally appropriate Computational Thinking (CT) assessments that can be implemented in early childhood classrooms. We developed a new instrument called "TechCheck" for assessing CT skills in young children that does not require prior knowledge of computer programming. "TechCheck" is based on…

This study investigates the relationships among factor correlations, inter-item correlations, and the reliability estimates of subscores, providing a guideline with respect to psychometric properties of useful subscores. In addition, it compares subscore estimation methods with respect to reliability and distinctness. The subscore estimation…