Multilevel data are a reality for many disciplines. Currently, although multiple options exist for the treatment of multilevel data, most disciplines strictly adhere to one method for multilevel data regardless of the specific research design circumstances. The purpose of this Monte Carlo simulation study is to compare several methods for the…

A procedure that can be used to evaluate the variance inflation factors and tolerance indices in linear regression models is discussed. The method permits both point and interval estimation of these factors and indices associated with explanatory variables considered for inclusion in a regression model. The approach makes use of popular latent…

Young and Holsteen (YH) introduce a number of tools for evaluating model uncertainty. In so doing, they are careful to differentiate their method from existing forms of model averaging. The fundamental difference lies in the way in which the underlying estimates are weighted. Whereas standard approaches to model averaging assign higher weight to…

Cognitive modelling shares many features with statistical modelling, making it seem trivial to borrow from the practices of robust Bayesian statistics to protect the practice of robust cognitive modelling. We take one aspect of statistical workflow--prior predictive checks--and explore how they might be applied to a cognitive modelling task. We…

Persistent underrepresentation of Black and Hispanic Statistics degree holders relative to the U.S. population occurs at all levels in post-secondary education, contributing to the underrepresentation of Black and Hispanic Bio/Statisticians. Attempting to address this inequity before the undergraduate level, Memorial Sloan Kettering (MSK)'s Bridge…

The detection of differential item functioning (DIF) is important in psychological and behavioral sciences. Standard DIF detection methods perform an item-by-item test iteratively, often assuming that all items except the one under investigation are DIF-free. This article proposes a Bayesian adaptive Lasso method to detect DIF in graded response…

This paper reports on teachers developing their own data literacy and then acting as data coaches for colleagues in their schools. The 13 teachers from 7 schools in the study analysed standardised data using a data conversation protocol to identify students with significant mathematical misconceptions. They then took data-informed action with…

The rapid advancement of educational technologies in recent decades has underscored the increasing importance of digital literacy (DL) as a core competency for all students, as recognised in various educational policies and programs. Evaluating students' DL is crucial for providing valuable insights to guide future educational initiatives. This…

Despite growing interest in task-based language teaching (TBLT), limited empirical work has examined how different rhetorical task types influence second language (L2) writing development, especially in relation to affective variables, such as writing anxiety. Existing research in TBLT has largely focused on cognitive dimensions, often neglecting…

Threshold concepts are transformative elements of domain knowledge that enable those who attain them to engage domain tasks in a more sophisticated way. Existing research tends to focus on the identification of threshold concepts within undergraduate curricula as challenging concepts that prevent attainment of subsequent content until mastered.…

Research courses are part of many higher education curricula. However, students' attitudes towards statistics and research courses tend to be negative. One way to measure students' attitude is with the Revised-Attitudes Towards Research scale (R-ATR). The current study examined: (1) the internal reliability of the R-ATR, (2) the attitude of Dutch…

This study proposes a two-stage causal modeling with instrumental variables to mitigate selection bias, provide correct standard error estimates, and address nonnormal and missing data issues simultaneously. Bayesian methods are used for model estimation. Robust methods with Student's "t" distributions are used to account for nonnormal…

This research is about developing stochastic worldview formation among high school students (grades 10 and 11) based on integrating scientific approaches, namely, information and technology, interdisciplinary, system, and activity approaches. Developing the structural components of a stochastic worldview, such as motivation--value relations,…

This communication describes an activity where upper-level chemistry students explore the determinability of rate constant values without concentration dependences (k[subscript true]) related to a solvent-ligand exchange in a transition metal carbonyl complex. By performing a series of multivariable linear regression (MVLR) analyses of…

Cola beverages are widely consumed and popular among students; they can be used as safe reagents to replace toxic chemical dyes. In this study, a safe and improved experiment is described, which successfully demonstrates Beer's law and adsorption process using activated carbon as the adsorbent and cola as the adsorbate. The results of this study…