Humans are capable of extracting recurring patterns from their environment via statistical learning (SL), an ability thought to play an important role in language learning and learning more generally. While much work has examined statistical learning in infants and adults, less work has looked at the developmental trajectory of SL during childhood…

Everyday encounters with graphical representations include a variety of graphs that superficially appear similar due to their use of bars. This article examines students' conceptions and misconceptions regarding the interpretation of variability in histograms, bar graphs, and value bar charts. A multiple choice assessment with brief written…

As statisticians, we engage in a variety of activities, some of which are regularly integrated into our undergraduate courses. However, the individual courses that comprise a mathematics or statistics degree program might not provide students with experiences in the broader range of activities that define the practice of statistics. To remedy this…

In this article, the conceptions of variability held by samples of Japanese and Thai senior high school mathematics teachers were identified, based on the framework proposed by Shaughnessy (2007), using a comparative survey study. From contrasting the results of the two groups, relative tendencies of insufficient statistical knowledge for…

Bayesian item response theory (IRT) modeling stages include (a) specifying the IRT likelihood model, (b) specifying the parameter prior distributions, (c) obtaining the posterior distribution, and (d) making appropriate inferences. The latter stage, and the focus of this research, includes model criticism. Choice of priors with the posterior…

In this article, we evaluate the extent of the causal effect of parental education on the education of their children. We review this empirical literature and propose a multivariate meta-regression analysis. Our database is composed of a large set of both published and unpublished papers written in the period 2002-2014. The articles considered…

The study represented an examination of the factors influencing students' ability to successfully graduate from postsecondary institutions and whether this differs between high school equivalency credential earners and high school diploma earners. The study has clarified a predictive relationship among type of high school credential and graduation…

Research in education has become increasingly reliant on statistical modeling frameworks to be reflective of the subject matter, to accurately assess what students know and can do, to assist instructors with curriculum design by supplementing informative feedback, and to support policy-makers when making evidence-based decisions. A common feature…

The National Center for Education Statistics (NCES) Education Demographic and Geographic Estimates (EDGE) program develops data resources and information to help data users investigate the social and spatial context of education. School point locations (latitude/longitude values) are a key component of the NCES data collection. These data are…

This article focuses on a family of restricted latent structure models with wide applications in psychological and educational assessment, where the model parameters are restricted via a latent structure matrix to reflect prespecified assumptions on the latent attributes. Such a latent matrix is often provided by experts and assumed to be correct…

This paper presents a mixture item response tree (IRTree) model for extreme response style. Unlike traditional applications of single IRTree models, a mixture approach provides a way of representing the mixture of respondents following different underlying response processes (between individuals), as well as the uncertainty present at the…

This article reports on the implementation of formative e-assessments in courses taken by first-year students. The central aim is to measure the effectiveness of the formative e-assessments with reference to the student voice and staff reflections. Students engaged with the formative assessments and the evidence gathered via questionnaires show…

This study examined information integration cognitive mechanisms underlying the test anxiety judgments of 474 engineering students. The experimental design considered the orthogonal combination of three factors (teaching style, exam type, and test mode), resulting in 12 experimental scenarios. During the experiments, participants were provided one…

At the Open University, where students learn online and at a distance, the School of Mathematics and Statistics has for many years provided innovative ways of supporting students outside the 'classroom' environment so was well prepared to support students during the COVID-19 pandemic. These forms of support include online forums to help students…

This paper proposes a new application of Stochastic Frontier Analysis (SFA) for estimating the student performance gap and how this can be used to assess changes of teaching quality at the individual unit-of-study level (module-level). Although there have been other examples in the literature that assess 'efficiency' in student outcomes, this is…