Factor analysis is widely utilized to identify latent factors underlying the observed variables. This paper presents a comprehensive comparative study of two widely used methods for determining the optimal number of factors in factor analysis, the K1 rule, and parallel analysis, along with a more recently developed method, the bass-ackward method.…

What is this report about? This report presents the largest empirical evaluation of test equating methods ever conducted. Equating is the process of identifying scores on different test forms that can be treated as equivalent. Whilst various equating methods are available, there remains no consensus on which are most effective under which…

To meet accreditation expectations, teacher preparation programs must demonstrate their candidates are evaluated using summative assessment tools that yield sound, reliable, and valid data. These tools are primarily used by the clinical experience team -- university supervisors and mentor teachers. Institutional beliefs regarding best practices…

Background: Effectiveness studies that ignore costs can lead to misguided policies. For instance, reducing class sizes gained traction due to positive outcomes on student achievement (Konstantopoulos & Li, 2012; Krueger, 1999), yet cost-effectiveness studies revealed the high-cost relative to its modest benefits (Brewer et al., 1999). More…

Large-scale survey assessments (LSAs) such as NAEP, TIMSS, PIRLS, IELS, and NAPLAN produce plausible values of student proficiency for estimating population statistics. Plausible values are imputed values for latent proficiency variables. While prominently used for LSAs, they are applicable to a wide range of latent variable modelling contexts…

This paper proposes an online learning platform learner DM method based on the improved fuzzy C clustering (FCM) algorithm, constructs a learner feature database, and combines clustering analysis and SPSS statistical methods to statistically summarize the big data of law, thus improving the deficiencies of static and absolute classification of…

Most methods for structural equation modeling (SEM) focused on the analysis of covariance matrices. However, "Historically, interesting psychological theories have been phrased in terms of correlation coefficients." This might be because data in social and behavioral sciences typically do not have predefined metrics. While proper methods…

Parallel analysis has been considered one of the most accurate methods for determining the number of factors in factor analysis. One major advantage of parallel analysis over traditional factor retention methods (e.g., Kaiser's rule) is that it addresses the sampling variability of eigenvalues obtained from the identity matrix, representing the…

Discussions of what it means to be an effective outdoor leader are common in outdoor education literature (Martin et al., 2025; Smith, 2021). Research has identified core competencies (Martin et al., 2025), conceptual frameworks (Pomfret et al., 2023), and course curricula/qualifications for effective leadership (Baker & O'Brien, 2019; Seaman…

In recent years, the growing incidence of blended and online learning has highlighted instructional design concerns, especially STEM instructional design. Existing studies have often adopted observations, questionnaires, or interviews to evaluate STEM instructional design plans. However, there is still a lack of quantitative, measurable, and…

Discrete-time survival analysis (DTSA) models are a popular way of modeling events in the social sciences. However, the analysis of discrete-time survival data is challenged by missing data in one or more covariates. Negative consequences of missing covariate data include efficiency losses and possible bias. A popular approach to circumventing…

Conditional process models, including moderated mediation models and mediated moderation models, are widely used in behavioral science research. However, few studies have examined approaches to conduct statistical power analysis for such models and there is also a lack of software packages that provide such power analysis functionalities. In this…

This paper introduces AIRSim (AI Responses Simulator), an innovative AI tool designed to support students in practicing their questionnaire analysis skills within the café and restaurant discipline. Utilizing artificial intelligence (AI), AIRSim generates hypothetical feedback data to facilitate student learning. Through a series of 16…

Economic efficiency demands accurate assessment of individual ability for selection purposes. This study investigates Classical Test Theory (CTT) and Item Response Theory (IRT) for estimating true ability and ranking individuals. Two Monte Carlo simulations and real data analyses were conducted. Results suggest a slight advantage for IRT, but…

Multisite cluster randomized trials (MCRTs), in which, the intermediate-level clusters (e.g., classrooms) are randomly assigned to the treatment or control condition within each site (e.g., school), are among the most commonly used experimental designs across a broad range of disciplines. MCRTs often align with the theory that programs are…