In this article, the degrees of freedom of the sample variance are simulated by using the Visual Basic for Applications of Microsoft Excel 2010. The simulation file dynamically displays why the sample variance should be calculated by dividing the sum of squared deviations by n-1 rather than n, which is helpful for students to grasp the meaning of…

Latent curve models have become a popular approach to the analysis of longitudinal data. At the individual level, the model expresses an individual's response as a linear combination of what are called "basis functions" that are common to all members of a population and weights that may vary among individuals. This article uses…

The piecewise latent growth models (PWLGMs) can be used to study changes in the growth trajectory of an outcome due to an event or condition, such as exposure to an intervention. When there are multiple outcomes of interest, a researcher may choose to fit a series of PWLGMs or a single parallel-process PWLGM. A comparison of these models is…

Comparative interrupted time series (CITS) designs evaluate impact by modeling the relative deviation from trends among a treatment and comparison group after an intervention. The broad applicability of the design means it is widely used in education research. Like all non-experimental evaluation methods however, the internal validity of a given…

Both school and district administrators use the results of standardized, large-scale tests to inform decisions about the need for, or success of, educational programs and interventions. However, test results at the school level are subject to random fluctuations due to changes in cohort, test items, and other factors outside of the school's…

The purpose of this article is to provide a resource for school counselors to recognize key indicators of quality quantitative research and make informed decisions about incorporating scholarly works into school counseling practice and comprehensive program development. We describe quality indicators of quantitative research by walking readers…

BASIE is a framework for interpreting impact estimates from evaluations. It is an alternative to null hypothesis significance testing. This guide walks researchers through the key steps of applying BASIE, including selecting prior evidence, reporting impact estimates, interpreting impact estimates, and conducting sensitivity analyses. The guide…

This paper provides practical guidance for scholars and practitioners looking to develop more rigorous, comprehensive, and inclusive research that could guide proactive efforts to improve access, experiences, and outcomes for college students with disabilities. To do so, we (a) identify critical challenges affecting research and assessment related…

The characteristic curve methods have been applied to estimate the equating coefficients in test equating under the graded response model (GRM). However, the approaches for obtaining the standard errors for the estimates of these coefficients have not been developed and examined. In this study, the delta method was applied to derive the…

This paper examines the process of the making and development of parochial schools in Russia in the pre-revolutionary period. An insight is provided into the scale of work carried out in that area, the evolution of parochial schools in Russia, and the regulatory framework for them. The main sources for this paper are reports from the Chief…

The current COVID-19 situation has seen a plethora of data, statistics and predictions presented to society--some making incredible claims. The authors are concerned that statistics and probability still receive inadequate attention in the classroom, leaving students without the statistical literacy needed to make sense of the claims being made.…

Meta-analysis of individual participant data (IPD) is considered the "gold-standard" for synthesizing clinical study evidence. However, gaining access to IPD can be a laborious task (if possible at all) and in practice only summary (aggregate) data are commonly available. In this work we focus on meta-analytic approaches of comparative…

The aim of the present assay is to provide a simple algorithm as well as a didactic theoretical framework that may serve as an introduction to understanding modern habitat suitability (HS) modelling techniques in Ecology and Biogeography. The proposal is built on classical descriptive statistics and classical ecological theories. Shelford's theory…

As STEM education becomes more prominent at the school level, many possibilities could be suggested for beginning experiences to create a foundation for young students as they begin their journeys with respect to STEM learning. The research reported here is based on the premise that building statistical understanding will enhance young students'…

This quantitative study investigates the diversity of the American Library Association's Michael L. Printz Award which is given for outstanding young adult literature titles. The award's website notes that it strives for diversity amongst the award winning or honored titles. This study uses quantitative analysis to determine if the committee's…