College choice models have been used since the 1980s to try and explain the processes and influences high school students use to decide if and which college to attend after graduation. These models focused solely on college attendance and lacked attention to the nuanced needs and resources found in rural communities. In this three-paper…

Piecewise latent growth modeling (PLGM) is a class of longitudinal models using a structural equation modeling framework to describe stage-like, discontinuous change of individuals over time. PLGM breaks the overall time window into non-overlapped segments where separate functions can be fitted to represent differential growth patterns for each…

Growth mixture modeling (GMM) is a methodological tool used to represent heterogeneity in longitudinal datasets through the identification of unobserved subgroups following qualitatively and quantitatively distinct trajectories in a population. These growth trajectories or functional forms are informed by the underlying developmental theory, are…

This dissertation includes three individual articles that explore the relationship between witnessing bullying and defending behavior among students who are bystanders of bullying. Chapter One provides the rationale and purpose of this dissertation and an overview of the three articles that comprise it. Chapter Two employed a cross-sectional…

Current recommended cutoffs for determining measurement invariance have typically derived from simulation studies that have focused on multigroup confirmatory factor analysis, often using continuous data. These cutoffs may be inappropriate for ordered categorical data in a longitudinal setting. This study conducts two Monte Carlo studies that…

There has been extensive research into the underrepresentation of minoritized students in STEM disciplines since the 1990s with limited success in improving the representation of Black women in math-intensive STEM fields. This dissertation aims to address how the guiding tenets of critical quantitative (QuantCrit) methods work when used with…

Executive functioning (EF) is found to be a powerful predictor for children's school readiness and long-term school outcomes. However, the current research base indicates that children with autism may have an increased likelihood of experiencing deficits in EF or delayed developmental trajectories. Additionally, although there is ample evidence…

Within the five chapters of this dissertation, the overall theme was to examine student goal setting when engaged in the Self-Determined Learning Model of Instruction (SDLMI) in inclusive, secondary, academic content, general education classrooms over multiple years. Chapter 1 provides an overview of self-determination, goal setting, and the…

Several statistical models have been developed in educational measurement to determine and track the performance of students in longitudinal studies. An example of a model designed for such purpose is the latent transition analysis (LTA) model. The LTA model (Graham, Collins, Wugalter, Chung, & Hansen 1991) is a type of autoregressive model…

The primary purpose of this study was to examine how best a Tennessee 4-year public university can perform under the state's outcomes-based funding formula, most commonly identified as either PF 2.0 or the Complete College Tennessee Act (CCTA) funding formula. Using a mixed methods approach, the research analyzed select input variable performance…

The present study was motivated by the theory-method mismatch between heterotypic continuity (aspects of development that manifest differently across the lifespan thus cannot be measured the same way over time) and longitudinal measurement equivalence (the statistical assumption that the developmental phenomenon studied is measured on the same…

Research has shown that cross-sectional mediation analysis cannot accurately reflect a true longitudinal mediated effect. To investigate longitudinal mediated effects, different longitudinal mediation models have been proposed and these models focus on different research questions related to longitudinal mediation. When fitting mediation models to…

The United States faces high demand for science, technology, engineering, or mathematics (STEM) professionals and a scarce supply of individuals who pursue STEM careers, especially minority populations in the U.S with proficiency in a language other than English. The primary goal of this research was to determine the impact of use of Spanish in…

Reading is an essential skill for daily life and academic success. According to the connectionist model of reading, word recognition involves orthographic, phonological, and semantic processing, as well as the interactions among them. Language skill such as phonological processing, develops earlier than reading acquisition, and thus likely serves…

This dissertation consists of two chapters studying the importance of household income for shaping student outcomes in the market for higher education in the United States. The first chapter uses the High School Longitudinal Study of 2009 to document that conditional on student ability, high-income students are more likely to enroll in college and…