Wollack et al. (2015) suggested the erasure detection index (EDI) for detecting fraudulent erasures for individual examinees. Wollack and Eckerly (2017) and Sinharay (2018) extended the index of Wollack et al. (2015) to suggest three EDIs for detecting fraudulent erasures at the aggregate or group level. This article follows up on the research of…

This position paper examines the phenomenon of the McNamara Fallacy to analyse flawed conceptions of "success" in mathematics learning, normalised assessment structures and their implications for mathematics education. The established presence of the McNamara Fallacy and the ramifications of this statistical fallacy provide a foundation…

Both school and district administrators use the results of standardized, large-scale tests to inform decisions about the need for, or success of, educational programs and interventions. However, test results at the school level are subject to random fluctuations due to changes in cohort, test items, and other factors outside of the school's…

The National Council of Teachers of Mathematics (NCTM), has made an effort to increase the use of technology and the use of calculators into the classroom and curriculum. As a result, many studies and articles have been written on the subject of calculator use in the classroom. A review of over 600 studies revealed that it is not curricula that…

Research Question: This paper examines the overarching question of to what extent different analytic choices may influence the inference about country-specific cross-sectional and trend estimates in international large-scale assessments. We take data from the assessment of PISA mathematics proficiency from the four rounds from 2003 to 2012 as a…

In the context of examinations, the phrase "maintaining standards" usually refers to any activity designed to ensure that it is no easier (or harder) to achieve a given grade in one year than in another. Specifically, it tends to mean activities associated with setting examination grade boundaries. Benton et al (2020) describes a method…

The primary aim of the present study is to examine the measurement invariance of the structural equating model constructed on the numerical and verbal abilities test for sixth grade students across gender, amount of weekly pocket money and students' perceptions of the sufficiency of their pocket money. The secondary aim is to illustrate the use of…

Mixture Rasch (MixRasch) models conventionally assume normal distributions for latent ability. Previous research has shown that the assumption of normality is often unmet in educational and psychological measurement. When normality is assumed, asymmetry in the actual latent ability distribution has been shown to result in extraction of spurious…

This study investigated the effectiveness of statistical adjustments applied to rater bias in many-facet Rasch analysis. Some changes were first made in the dataset that did not include "rater × examinee" bias to cause to have "rater × examinee" bias. Later, bias adjustment was applied to rater bias included in the data file,…

The aims of this research were to describe mathematics skill of 8th fifteen-year old students in Yogyakarta in solving problem of PISA. The sampling was combination of stratified and cluster random sampling. The sample consisting of 400 students was selected from fifteen schools. The data collection was by tests. The research finding revealed that…

Based on measures of approach and avoidance mastery and performance goals delineated in the 2 × 2 achievement goal framework, this study utilized a person-centered approach to examine Singapore primary students' (N = 819) multiple goals pursuit in the general school context. Latent profile analysis identified six types of students with distinct…

This dissertation aims to investigate the effect size measures of differential item functioning (DIF) detection in the context of cognitive diagnostic models (CDMs). A variety of DIF detection techniques have been developed in the context of CDMs. However, most of the DIF detection procedures focus on the null hypothesis significance test. Few…

In this article, the authors applied profile analysis to Maths exam data to demonstrate how different exam forms, differing in difficulty and length, can be reported and easily interpreted. The results were presented for different groups of participants and for different institutions in different Maths domains by evaluating the balance. Some…

Replication is a foundation of the development of a knowledge base in an evidence-based field such as education. This study includes two direct replications of Hosp, Hensley, Huddle, and Ford which found evidence of criterion-related validity of curriculum-based measurement (CBM) for reading and mathematics with postsecondary students with…

A well established finding is that the cognitive component of test anxiety (worry) is negatively related to examination performance. The present study examined how 3 self-beliefs (academic buoyancy, perceived control, and test competence) moderated the strength of the relationship between worry and examination performance in a sample of 270 final…