The purpose of this study is to explore the relation between the teaching of Mathematics and the teaching of Statistics at high school level in the South African Context. The study also examines and analyses examples of statistical teaching situations from both a mathematical and a statistical perspective with view to reveal the links between the…

In episodic memory research, there is a debate concerning whether decision-making in item recognition and source memory is better explained by models that assume all-or-none retrieval processes or continuous underlying strengths. One aspect in which these classes of models tend to differ is their predictions regarding the ability to retrieve…

This paper reports on a study that investigated young children's responses to a range of probabilistic tasks. A central aspect of the study was our examination of the children's use of subjective thinking. Most research that has been conducted in relation to young children's probabilistic thinking has focused on the extent to which young children…

Although there have been increased calls to prepare teachers with the pedagogical content knowledge to teach statistics, there are few stand-alone statistics courses for preservice teachers. Teachers across content areas need to be able to understand the data being produced about their students, their schools, and themselves. This article reports…

People's perceptions of their intelligence correlate only moderately with objective intelligence measures. On average, people overestimate themselves. According to the popular Dunning-Kruger effect, this is particularly true for low performers: across many domains, those in the lowest quartile overestimate their abilities the most. However, recent…

Heterogeneity is commonplace in meta-analysis. When heterogeneity is found, researchers often aim to identify predictors that account for at least part of such heterogeneity by using mixed-effects meta-regression models. Another potentially relevant goal is to focus on the amount of heterogeneity as a function of one or more predictors, but this…

Many statistics education researchers have found that statistics students' attitudes tend to decrease over the duration of a course. Although many researchers have tried to incorporate a variety of activities and/or teaching methods to improve student attitudes, many are not only very time consuming to implement, but have also not shown many…

For ease of instruction in the classroom, the one-way analysis of variance F statistic is rewritten in terms of pairwise differences in individual sample means instead of differences of individual sample means from the overall sample mean. Likewise, the Kruskal-Wallis statistic may be rewritten in terms of pairwise differences in individual…

Power analysis based on the analytical t-test is an important aspect of a research study to determine the sample size required to detect the effect for the comparison of two means. The current paper presents a reader-friendly procedure for carrying out the t-test power analysis using the various R add-on packages. While there is a growing of R…

The latest edition highlights information about schools, enrollment, and staffing patterns for Catholic elementary and secondary schools for the 2021-2022 school year. [For the 2020-2021 edition, see ED613137.]

Twenty nine students who had previously taken an undergraduate thermal physics course were interviewed about their basic knowledge about statistical mechanics at the undergraduate level. Of these 29, fourteen were undergraduate students, and fifteen were graduate students at varying stages of their career. This project aimed to identify and…

With the prevalence of missing data in social science research, it is necessary to use methods for handling missing data. One framework in which data with missing values can still be used for parameter estimation is the Bayesian framework. In this tutorial, different missing data mechanisms including Missing Completely at Random, Missing at…

Recently, Bayesian diagnostic classification modeling has been becoming popular in health psychology, education, and sociology. Typically information criteria are used for model selection when researchers want to choose the best model among alternative models. In Bayesian estimation, posterior predictive checking is a flexible Bayesian model…

In this article, we present a two-stage estimation approach applied to multilevel latent class analysis (LCA) with covariates. We separate the estimation of the measurement and structural model. This makes the extension of the structural model computationally efficient. We investigate the robustness against misspecifications of the proposed…

Despite the broad appeal of missing data handling approaches that assume a missing at random (MAR) mechanism (e.g., multiple imputation and maximum likelihood estimation), some very common analysis models in the behavioral science literature are known to cause bias-inducing problems for these approaches. Regression models with incomplete…