Foundations of statistics research aims to establish fundamental principles guiding inference about populations under uncertainty. It is concerned with the process of learning from observations, notions of uncertainty and induction, and satisfying inferential objectives. The growing interest in predictive methods in high-stakes fields like…

Statistical association is a key facet of statistical literacy: claims based on relationships between variables or ideas rooted in data are found everywhere in media and discourse. A key development in introductory statistics curricula is the use of simulation-based inference, which has shown positive outcomes for students, especially in regards…

This dissertation project explores the potential for using an inferential statistics test (t-tests) within an existing writing program assessment design. The purpose of using inferential statistics is to provide several perspectives on a data set collected using the existing assessment design thereby improving what a writing program administrator…

One of the most serious forms of cheating occurs when examinees have item preknowledge and prior access to secure test material before taking an exam for the purpose of obtaining an inflated test score. Examinees that cheat and have prior knowledge of test content before testing may have an unfair advantage over examinees that do not cheat. Item…

Research has indicated that undergraduate students struggle with conceptual understanding of confidence intervals, negatively impacting statistical literacy skills, and advocates have suggested the flipped classroom pedagogy as a potential solution. The purpose of this nonequivalent control group quasi-experimental study was to determine if a…

In this dissertation I argue that truth-conditional semantics for vague predicates, combined with a Bayesian account of statistical inference incorporating knowledge of truth-conditions of utterances, generates false predictions regarding negations and metalinguistic inference. I thus propose a fundamentally probabilistic semantics for vagueness…

The purpose of this study was to investigate levels of engagement as measured by the CCSSE among Latino students attending Washington National Community College (WNCC), a community college on the east coast of the United States. For this longitudinal study, the researcher compared CCSSE data collected in 2008, 2010, 2012 and 2014 from Latino…

This thesis examined middle school students' current understanding of variability using a constructed response item assessment question. Variability is an essential concept in the teaching and learning of statistics. However, many students have difficulty with the concept of variability especially when constructing boxplots. Using a framework…

Are fraternities still relevant to the college student experience? By examining the moral, student, and leadership development of IFC fraternity men, while controlling for institutional and student characteristics, the current study analyzed the roots of the purported value-added nature of fraternities using data from the Multi-Institutional Study…

This research examines issues regarding model estimation and robustness in the use of Bayesian Inference Networks (BINs) for measuring Learning Progressions (LPs). It provides background information on LPs and how they might be used in practice. Two simulation studies are performed, along with real data examples. The first study examines the case…

Correlation is often present among observations in a distributed system. This thesis deals with various design issues when correlated data are observed at distributed terminals, including: communicating correlated sources over interference channels, characterizing the common information among dependent random variables, and testing the presence of…

The main goal of this research is to design, implement, and evaluate a novel explanation method, the hierarchical explanation method (HEM), for explaining Bayesian network (BN) inference when the network is modeling a population of conditionally independent agents, each of which is modeled as a subnetwork. For example, consider disease-outbreak…

Stochastic understanding of probability distribution undergirds development of conceptual connections between probability and statistics and supports development of a principled understanding of statistical inference. This study investigated the impact of an instructional course intervention designed to support development of stochastic…

The purpose of this research is to investigate whether there are differences in student engagement of Allied Health students that attend five participating Maryland community colleges. Student engagement is measured by five benchmark scores on the Community College Survey of Student Engagement (CCSSE). The research question was, Are there…

There are two primary challenges for instructors in offering a high-quality course at large scale. The first is scaling educational experiences to such a large audience. The second major challenge encountered is that of enabling adaptivity of the educational experience. This thesis addresses both major challenges in the way of high-quality…