Bayesian methodology continues to be widely used in statistical applications. As a result, it is increasingly important to introduce students to Bayesian thinking at early stages in their mathematics and statistics education. While many students in upper level probability courses can recite the differences in the Frequentist and Bayesian…

The authors examined the distributional properties of 3 improvement-over-chance, I, effect sizes each derived from linear and quadratic predictive discriminant analysis and from logistic regression analysis for the 2-group univariate classification. These 3 classification methods (3 levels) were studied under varying levels of data conditions,…

Propensity score matching (PSM) has been used to estimate causal effects of treatment, especially in studies where random assignment to treatment is difficult to obtain. The main purpose of this article is to provide some practical guidance for propensity score sample matching, including definitions, procedures, decisions on each step, and methods…

In this paper, we introduce a mathematical model for collaborative learning and the answering process for multiple-choice questions. The collaborative learning model is inspired by the Ising spin model and the model for answering multiple-choice questions is based on their difficulty level. An intensive simulation study predicts the possibility of…

Replication studies allow for making comparisons and generalizations regarding the effectiveness of an intervention across different populations, versions of a treatment, settings and contexts, and outcomes. One method for making these comparisons across many replication studies is through the use of meta-analysis. A recent innovation in…

This case study is directed at the methods used to examine group differences when random group assignment is not a feasible option. The authors discuss how to employ propensity score matching techniques and practical issues that arise when employing such techniques. The context of using propensity score matching is embedded in a research study…

Data from the National Longitudinal Transition Study-2 were used to examine the effect of academic and career or technical education course-taking in high school on deaf or hard of hearing (DHH) youth's postsecondary enrollment in 2-year, 4-year, and career or technical education institutions. We examined the proportion of academic and career or…

International student enrollment has experienced dramatic increases on U.S. campuses. Using a national dataset, the study explores and compares international and domestic students' incoming and post-training levels of motivation to lead, leadership self-efficacy, and leadership skill using inverse-probability weighting of propensity scores to…

To examine the experiences of victimization and bullying among gifted students and their general education peers, we applied a latent transition analysis with longitudinal data from 299 gifted and 689 general education students (fifth to ninth graders). We identified 4 latent statuses for victimization (4.8%-5.2%, frequent victims; 7.4%-12.2%,…

Attending high-quality early childhood care and education (ECCE) is associated with higher cognitive and social-emotional skills, especially for children growing up in poverty, but access to high-quality ECCE is limited. This study capitalizes on the random assignment design of the Head Start Impact Study to better understand whether the…

The purpose of this study was to investigate a new methodology for detection of differences in middle grades students' math anxiety. A mixture partial credit model analysis revealed two distinct latent classes based on homogeneities in response patterns within each latent class. Students in Class 1 had less anxiety about apprehension of math…

School-based substance use prevention programs are a common method to approaching drug use in youths. Project SOS is a single-session drug prevention program developed by police officers and delivered by elite junior hockey players to students in grades 6 and 7. The current study evaluates the effects of Project SOS at achieving its objectives of…

Few issues in education threaten the nation as seriously as the present and growing shortage of teachers. Teacher attrition is high among teachers across the nation and is one of the most serious causes of teacher shortage (Ingersoll, 2004). As policy makers rush to address this problem, research is needed to examine the retention effects of…

Multilevel models are often used to evaluate hypotheses about relations among constructs when data are nested within clusters (Raudenbush & Bryk, 2002), although alternative approaches are available when analyzing nested data (Binder & Roberts, 2003; Sterba, 2009). The overarching goal of this article is to suggest when it is appropriate…

In the literature, the potential efficacy of the gamification of education has been demonstrated. The aim of this study was to explore the influence of applying gamification techniques to increase student engagement in learning. The quasi-experimental nonequivalent-control group design was used with 577 undergraduate students from six classes. The…