The recent simulation-based inference (SBI) movement in algebra-based introductory statistics courses (Stat 101) has provided preliminary evidence of improved student conceptual understanding and retention. However, little is known about whether these positive effects are preferentially distributed across types of students entering the course. We…

Reflections on the efficacy of pedagogical changes and practices and their effect on student performance are often hindered by incomplete data, small sample sizes, and the confounding variables of multiple instructors and teaching sites. Observations from such retrospective analyses, however, are highly sought after by instructors and…

Analysis of a two-way sample of means is considered when corresponding population means are believed a priori to satisfy a partial order restriction. Simulation and the Gibbs sampler are used to summarize posterior distributions, and the posterior distribution is used to predict GPAs of first-year students at University of Iowa. (SLD)