Rasch mixture models can be a useful tool when checking the assumption of measurement invariance for a single Rasch model. They provide advantages compared to manifest differential item functioning (DIF) tests when the DIF groups are only weakly correlated with the manifest covariates available. Unlike in single Rasch models, estimation of Rasch…

In this article, a latent trait model is proposed for the response times in psychological tests. The latent trait model is based on the linear transformation model and subsumes popular models from survival analysis, like the proportional hazards model and the proportional odds model. Core of the model is the assumption that an unspecified monotone…

An equating procedure for a testing program with evolving distribution of examinee profiles is developed. No anchor is available because the original scoring scheme was based on expert judgment of the item difficulties. Pairs of examinees from two administrations are formed by matching on coarsened propensity scores derived from a set of…

The concept of variability is central to statistics. In this research report, we review mathematics education research on variability and, based on that review and on feedback from an expert panel, propose a learning progression (LP) for variability. The structure of the proposed LP consists of 5 levels of sophistication in understanding…

Situational Judgement Questions (SJQs) measuring process quality were included in the OECD Starting Strong Teaching and Learning International Survey 2018 (TALIS Starting Strong 2018) to address concerns of self-report bias in large-scale international surveys. These SJQs provide the staff in early childhood education and care with situations…

Main idea and summary are essential elements of reading comprehension. We report results from Grades 4 and 5 student performance on two years of state-mandated standardized reading testing which indicate that students perform statistically significantly lower on main idea and summary questions on the tests than any other question category. In this…

The purpose of the research is to examine the effect of different response formats on student performance on introductory accounting exam questions. The study analyzes 1104 accounting students' responses to quantitative questions presented in two formats: multiple-choice and fill-in. Findings indicate that response format impacts student…

Testing or evaluation in an educational context is primarily used to measure or evaluate and authenticate the academic readiness, learning advancement, acquisition of skills, or instructional needs of learners. This study tried to determine whether the varied combinations of arrangements of options and letter cases in a Multiple-Choice Test (MCT)…

This study analysed polytomous items' psychometric properties according to nonparametric item response theory (NIRT) models. Thus, simulated datasets--three different test lengths (10, 20 and 30 items), three sample distributions (normal, right and left skewed) and three samples sizes (100, 250 and 500)--were generated by conducting 20…

For standard- or criterion-based assessments, the use of cut scores to indicate mastery, nonmastery, or different levels of skill mastery is very common. As part of performance summary, it is of interest to examine the percentage of examinees at or above the cut scores (PAC) and how PAC evolves across administrations. This paper shows that…

Learning whether English nouns are countable or not is a source of great difficulty for many ESL/EFL learners. In the present study, a grammaticality judgement task comprised of a range of nouns representative of the different facets of the countability system in English was distributed to 82 native speakers of English (NSs) and 98 non-native…

The Scientific Teaching (ST) pedagogical framework provides various approaches for science instructors to teach in a way that more closely emulates how science is practiced by actively and inclusively engaging students in their own learning and by making instructional decisions based on student performance data. Fully understanding the impact of…

Knowledge of English affixes plays a significant role in increasing knowledge of words. However, few attempts have been made to create a valid and reliable measure of affix knowledge. The Word Part Levels Test (WPLT) was developed to measure three aspects of affix knowledge: form (recognition of written affix forms), meaning (knowledge of affix…

In this paper we report the results of an experiment designed to test the hypothesis that when faced with a question involving the inverse direction of a reversible mathematical process, students solve a multiple-choice version by verifying the answers presented to them by the direct method, not by undertaking the actual inverse calculation.…

The purpose of this study is to develop a valid and reliable scale to assess the level of English usage in daily life by students between 15 and 19 years of age, and to compare these students' scale scores according to their achievement levels in an English course. Five hundred and ninety-five participants were randomly selected from a universe.…