This article extends multivariate generalizability theory (MGT) to tests with different random-effects designs for each level of a fixed facet. There are numerous situations in which the design of a test and the resulting data structure are not definable by a single design. One example is mixed-format tests that are composed of multiple-choice and…

A regression model of predictor trade-offs is described. Each regression parameter equals the expected change in Y obtained by trading 1 point from one predictor to a second predictor. The model applies to predictor variables that sum to a constant T for all observations; for example, proportions summing to T=1.0 or percentages summing to T=100…

Knowledge tracing (KT) is a method to evaluate a student's knowledge state (KS) based on their historical problem-solving records by predicting the next answer's binary correctness. Although widely applied to closed-ended questions, it lacks a detailed option tracing (OT) method for assessing multiple-choice questions (MCQs). This paper introduces…

This study seeks to ascertain the degree to which context-based items are offered in Turkish mathematics textbooks as well as the quality of the items in terms of item writing guidelines, whether or not they are given as traditional or context-based. A qualitative research approach is used in this study. The eighth-grade mathematics textbook used…

Regulatory focus is a strong predictor for a person's behaviour in signal detection tasks. While a promotion focus is related to a risky response strategy (hits, false alarms), a prevention focus is associated with a conservative strategy (correct rejections, misses). The present research is based on the assumption that multiple-choice (MC)…

Multiple choice results are inherently probabilistic outcomes, as correct responses reflect a combination of knowledge and guessing, while incorrect responses additionally reflect blunder, a confidently committed mistake. To objectively resolve knowledge from responses in an MC test structure, we evaluated probabilistic models that explicitly…

Solving word problems involving 'Time' is an important skill but poor mastery of the skill among elementary students has often been reported in the literature. In addition, the available diagnostic tools in the literature might be less efficient for identifying the various errors made by many students in solving word problems. Thus, an online…

While response time and accuracy indicate overall performance, their value in uncovering cognitive processes, underlying learning, is limited. A promising online measure, designed to track decision-making, is computer mouse tracking, where mouse attraction towards different locations may reflect the consideration of alternative response options.…

We investigated the influence of context on students' understanding of cross products of vectors using three isomorphic multiple-choice tests asking for the direction of a cross product in different geometrical settings. One version of the test involved the Lorentz force, the second version involved the torque on an electric dipole, and the third…

This article describes an ongoing project to develop a formative, inferential reading comprehension assessment of causal story comprehension. It has three features to enhance classroom use: equated scale scores for progress monitoring within and across grades, a scale score to distinguish among low-scoring students based on patterns of mistakes,…

This paper describes an on-going project to develop a formative, inferential reading comprehension assessment of causal story comprehension. It has three features to enhance classroom use: equated scale scores for progress monitoring within and across grades, a scale score to distinguish among low-scoring students based on patterns of mistakes,…

Background: Of the myriad of reading comprehension (RC) assessments used in schools, multiple-choice (MC) questions continue to be one of the most prevalent formats used by educators and researchers. Outcomes from RC assessments dictate many critical factors encountered during a student's academic career, and it is crucial that we gain a deeper…

We study the automatic identification of educational items worthy of content authors' attention. Based on the results of such analysis, content authors can revise and improve the content of learning environments. We provide an overview of item properties relevant to this task, including difficulty and complexity measures, item discrimination, and…

Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…

Background: Of the myriad of reading comprehension (RC) assessments used in schools, multiple-choice (MC) questions continue to be one of the most prevalent formats used by educators and researchers. Outcomes from RC assessments dictate many critical factors encountered during a student's academic career, and it is crucial that we gain a deeper…