Sample size and statistical power are important factors to consider when planning a research synthesis. Power analysis methods have been developed for fixed effect or random effects models, but until recently these methods were limited to simple data structures with a single, independent effect per study. Recent work has provided power…

A critically important balance in educational measurement between practical concerns and matters of technique has atrophied in recent decades, and as a result, some important issues in the field have not been adequately addressed. I start with the work of E. F. Lindquist, who exemplified the balance that is now wanting. Lindquist was arguably the…

All of our choices and all that sets us apart are governed by what we can do, what we want to do, and what we know. This dissertation aims to quantify two of these channels to better understand why we differ. The first two chapters focus on what we know and how it shapes societal gaps. The first chapter attacks the question of how much of the gap…

The authors of this article present arguments for why and how qualitative research should be used in economic education. These arguments recognize the nature of economics as a discipline and economics educators' current expertise and preferences. The authors have five goals: (i) clarifying how and why the use of qualitative research in economic…

We tested the educational effectiveness of an inquiry-guided approach (Lee et al., 2004; Prince & Felder in "Journal of Engineering Education, 95," 123-138, 2006) to teaching a possible outcome of statistical hypothesis testing known as type 1 error. The approach consisted of showing participants an animated space exploration video.…

Bayesian Knowledge Tracing (BKT) is a popular interpretable computational model in the educational mining community that can infer a student's knowledge state and predict future performance based on practice history, enabling tutoring systems to adaptively select exercises to match the student's competency level. Existing BKT implementations do…

The clustered observational study (COS) design is the observational study counterpart to the clustered randomized trial. In a COS, a treatment is assigned to intact groups, and all units within the group are exposed to the treatment. However, the treatment is non-randomly assigned. COSs are common in both education and health services research. In…

The procedures of carrying out factorial invariance to validate a construct were well developed to ensure the reliability of the construct that can be used across groups for comparison and analysis, yet mainly restricted to the frequentist approach. This motivates an update to incorporate the growing Bayesian approach for carrying out the Bayesian…

The aim of this research is to assess the attitudes exhibited by pre-service primary mathematics educators towards statistics, while concurrently investigating the influence of gender on these attitudes. The research methodology employed in this study involved the adaptation of the Survey of Attitudes toward Statistics (SATS-36) to pre-service…

Causal mediation analysis is a popular approach for investigating whether the effect of an exposure on an outcome is through a mediator to better understand the underlying causal mechanism. In recent literature, mediation analysis with multiple mediators has been proposed for continuous and dichotomous outcomes. In contrast, methods for mediation…

The ability of the brain to extract patterns from the environment and predict future events, known as statistical learning, has been proposed to interact in a competitive manner with prefrontal lobe-related networks and their characteristic cognitive or executive functions. However, it remains unclear whether these cognitive functions also possess…

Data literacy for students in nonquantitative fields is important as statistics become the grammar of research and how the world's decisions are made. Statistics courses are typically offered by mathematics or statistics departments or by social and natural sciences such as economics, political science, psychology, and biology. Here we discuss how…

Teachers need instructionally useful data to make timely and appropriate decisions to meet their students with intensive needs (Filderman et al., 2019). Teachers have still experienced difficulty in instructional decision making in response to students' CBM data (Gesel et al., 2021). This is because data itself that was used for simply determining…

In this thesis, I use a combination of simulations and empirical data to demonstrate that a small set of structural and functional principles - the basic tenets of predictive coding theory - succinctly accounts for a very wide range of properties in the language processing system. Predictive coding approximates hierarchical Bayesian inference via…

Teaching and learning undergraduate statistics has been a most challenging task for undergraduate psychology majors (Salkind, 2017). A seasoned statistics instructor consulted with a seasoned instructional designer on a method to improve a particularly demanding course using a performance improvement approach to address learning difficulties she…