Background: The generalizability of a study refers to the extent to which the results and inferences from a sample apply to individuals in a larger target population of inference (Shadish et al., 2002). In practice, the strongest tool to facilitate generalizations is random or probability sampling, which is rare in educational studies (Olsen et…

I. Purpose: There are instances where equivalences rather than differences are of interest (e.g., Lakens, 2017). For instance, researchers may be interested in testing whether two versions of interventions are equivalent or whether an alternative but more cost-efficient program can provide similar outcomes (Lakens et al., 2018; Schuirmann, 1987).…

Background: Multisite designs, also known as blocked designs, are experimental designs in which the random assignment of treatment and control conditions is within each site (or block) after the random selection of sites (or blocks). Multisite designs exhibit remarkable adaptability and, statistically, it can maintain a rigorous basis for…

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…

Prior research has suggested that clustered regression discontinuity designs are a formidable alternative to cluster randomized designs because they provide targeted treatment assignment while maintaining a high-quality basis for inferences on local treatment effects. However, methods for the design and analysis of clustered regression…

This technical report provides detailed information about the sample, survey instruments, and resultant data for the Fall 2024 Pre-Kindergarten Teacher Survey (PKTS) which was administered via RAND's American Teacher Panel (ATP). The ATP is a nationally representative sample of public school teachers and part of the broader American Educator…

A simulation study was conducted to examine the efficacy of nine frequently-used HOV tests, including Levene's tests with squared residuals and with absolute residuals, Brown and Forsythe (BF) test, Bootstrap BF test, O'Brien test, Z-variance test, Box-Scheffé (BS) test, Bartlett test, and Pseudo jackknife test under comprehensive simulation…

One of the most important developments in the current era of social sciences is the growing availability and diversity of data, big and small. Social scientists increasingly combine information from multiple data sets in their research. While conducting statistical analyses with linked data is relatively straightforward, borrowing information…

While testlets have proven useful for assessing complex skills, the stem shared by multiple items often induces correlations between responses, leading to violations of local independence (LI), which can result in biased parameter and ability estimates. Diagnostic procedures for detecting testlet effects typically involve model comparisons testing…

Recent metascience suggests that motor behavior research may be underpowered, on average. Researchers can perform a priori power analyses to ensure adequately powered studies. However, there are common pitfalls that can result in underestimating the required sample size for a given design and effect size of interest. Critical evaluation of power…

Quantitative evidence synthesis methods aim to combine data from multiple medical trials to infer relative effects of different interventions. A challenge arises when trials report continuous outcomes on different measurement scales. To include all evidence in one coherent analysis, we require methods to "map" the outcomes onto a single…

Physics education researchers are interested in using the tools of machine learning and natural language processing to make quantitative claims from natural language and text data, such as open-ended responses to survey questions. The aspiration is that this form of machine coding may be more efficient and consistent than human coding, allowing…

Accelerated longitudinal designs (ALDs) provide an opportunity to capture long developmental periods in a shorter time framework using a relatively small number of assessments. Prior literature has investigated whether univariate developmental processes can be characterized with data obtained from ALDs. However, many important questions in…

Optimal sampling frameworks attempt to identify the most efficient sampling plans to achieve an adequate statistical power. Although such calculations are theoretical in nature, they are critical to the judicious and wise use of funding because they serve as important starting points that guide practical discussions around sampling tradeoffs and…

This Technical Annex report sets out methodological and technical notes for the 2024 Technical Education Learner Survey. It accompanies two substantive reports -- 'Technical Education Learner Survey 2024: progression of the 2nd T Level cohort' and 'Technical Education Learner Survey 2024: progression of Level 4/5 learners'. The main body of the…