This dissertation compares the performance of equivalence test (EQT) and null hypothesis test (NHT) procedures for identifying invariant and noninvariant factor loadings under a range of experimental manipulations. EQT is the statistically appropriate approach when the research goal is to find evidence of group similarity rather than group…

In many psychological and educational applications, it is imperative to obtain valid and reliable score estimates of multilevel processes. For example, in order to assess the quality and characteristics of high impact learning processes, one must compute accurate scores representative of student- and classroom-level constructs. Currently, there…

Measurement of latent constructs is one of the most challenging tasks in psychological research. Unlike physical variables, latent constructs are not directly observable but are inferred through individuals' responses to a set of items often referred to as measurement instruments, tests, surveys, or assessments. For decades, exploratory factor…

This dissertation is a collection of three papers. The first is a conceptual paper, followed by two data analysis papers. All three papers examine the connection between structural equation models and regression models, and how one may better learn, research and apply structural equation models when structural equation models are thought of as…

Observable data in empirical social and behavioral science studies are often categorical (i.e., binary, ordinal, or nominal). When categorical data are outcomes, they fail to maintain the scale and distributional properties of linear regression and factor analysis. Attempting to estimate model parameters for categorical outcome data with the…

Higher education institutions face heightened accountability for student success. As such, higher education relies heavily on big data to predict student outcomes. This process is problematic because predictive models are developed on historical data, are deficit based, and are focused on student factors, neglecting institutional factors. The…

This multiple-manuscript dissertation explored the measurement invariance (MI) testing with multiple-group confirmatory factor analysis (MG-CFA) approach from different perspectives. Study 1 explored MI from a theoretical perspective by conducting a systematic review study on MI practices in education. The findings of this study indicated…

We study flexible Bayesian methods that are amenable to a wide range of learning problems involving complex high dimensional data structures, with minimal tuning. We consider parametric and semiparametric Bayesian models, that are applicable to both static and dynamic data, arising from a multitude of areas such as economics, finance and…

The use of face-to-face and virtual teams has become a popular method of instruction in higher education. The popularity of working in teams has increased because effective teams are associated with positive learning outcomes. However, as students have different values and backgrounds, communication issues or conflict among team members may occur.…

Student success is often treated as an observed variable, or something that you can measure directly with a single instrument. Single course outcomes such as final course grade or learning gain on an assessment have become synonymous with success in undergraduate science education research. Continually relying on these narrow course outcomes to…

Much of the research on the faculty experience has focused on productivity, engagement, satisfaction, and well-being; however, no instrument or theoretical framework that contributes to an understanding of a faculty member's optimal psychological functioning--or thriving--currently exists. The purpose of this study was to address this gap in the…

Seligman (2011) introduced well-being theory as a multidimensional model to increase and measure well-being. The PERMA model of well-being theory defines well-being in terms of five constructs: Positive Emotion, Engagement, Relationships, Meaning, and Accomplishment. Together, these five constructs are the foundation of individual and community…

Recent research in multidimensional item response theory has introduced within-item interaction effects between latent dimensions in the prediction of item responses. The objective of this study was to extend this research to bifactor models to include an interaction effect between the general and specific latent variables measured by an item.…

This dissertation analyzes the production and perception of lexical stress in trilinguals' first, second, and third languages (L1, L2, and L3) to evaluate how the cue-weighting transfer hypothesis applies to L3 acquisition. According to this hypothesis, acoustic cues to stress have different weights across languages, and results from both…

Every student comes into each classroom with a unique mathematical identity. Mathematical identity consists of the stories about a person's confidence, beliefs, and persistence with mathematics as told by her/himself or by others (Gweshe & Brodie, 2019). Identity is not fixed (Dweck & Yeager, 2019; Wenger, 1998) and is dynamic within a…