This study utilizes an argument-based approach to validation to examine the implications of reliability in order to further differentiate the concepts of score and decision consistency. In a methodological example, the framework of generalizability theory was used to estimate appropriate indices of score consistency and evaluations of the…

With rising costs, mounting student debt, and many schools experiencing financial hardship, the higher education industry faces unwanted scrutiny from the popular media and political sector. College athletics too have come under close examination because of rising costs and internal subsidies. In this paper, we provide estimates of the per-student…

The move from additive to multiplicative thinking requires significant change in children's comprehension and manipulation of numerical relationships, involves various conceptual components, and can be a slow, multistage process for some. Unit arrays are a key visuospatial representation for supporting learning, but most research focuses on 2D…

This article presents a teaching intervention where programming was used to facilitate preschoolers' learning of mathematics, especially in their development of spatial thinking. In the intervention, the programming was made with a small programmable robot especially designed for young students. The results indicate that the children developed…

The federal role in higher education has grown over the past two decades, and now a new administration has the opportunity to strengthen policies that support students and their colleges and universities. To help inform these decisions, the Urban Institute convened a bipartisan group of scholars and policy advisers to write a series of memos…

Biased sampling occurs frequently in economics, epidemiology, and medical studies either by design or due to data collecting mechanism. Failing to take into account the sampling bias usually leads to incorrect inference. We propose a unified estimation procedure and a computationally fast resampling method to make statistical inference for…

Double-entry bookkeeping (DEB) implicitly uses a specific mathematical construction, the group of differences using pairs of unsigned numbers ("T-accounts"). That construction was only formulated abstractly in mathematics in the nineteenth century, even though DEB had been used in the business world for over five centuries. Yet the…

This article examines the invention of counting literacy on a national basis in nineteenth-century Britain. Through an analysis of Registrar Generals' reports, it describes how the early statisticians wrestled with the implications of their new-found capacity to describe a nation's communications skills in a single table and how they were unable…

In this study, smoothing and scaling approaches are compared for estimating subscore-to-composite scaling results involving composites computed as rounded and weighted combinations of subscores. The considered smoothing and scaling approaches included those based on raw data, on smoothing the bivariate distribution of the subscores, on smoothing…

Sample size can be chosen to achieve a specified width in a confidence interval. The probability of obtaining a narrow width given that the confidence interval includes the population parameter is defined as the power of the confidence interval, a concept unfamiliar to many practitioners. This article shows how to utilize the Statistical Analysis…

As a global measure of precision, item response theory (IRT) estimated reliability is derived for four coefficients (Cronbach's a, Feldt-Raju, stratified a, and marginal reliability). Models with different underlying assumptions concerning test-part similarity are discussed. A detailed computational example is presented for the targeted…

Latent class analysis is an analytic technique often used in educational and psychological research to identify meaningful groups of individuals within a larger heterogeneous population based on a set of variables. This technique is flexible, encompassing not only a static set of variables but also longitudinal data in the form of growth mixture…

The National Science Foundation (NSF) Survey of Doctorate Recipients (SDR) collects information on a sample of individuals in the United States with PhD degrees. A significant portion of the sampled individuals appear in multiple survey years and can be linked across time. Survey weights in each year are created and adjusted for oversampling and…

Prediction of number of [Pi]-bonds, [sigma]-bonds, single and triple bonds of aliphatic unsaturated open-chain and cycloalkynes is a vitally important tool for students of chemistry at undergraduate and graduate level for solving different kinds of problems regarding different chemical reactions. In this manuscript, we try to present a simple and…

Numerical estimation has been used to study how children mentally represent numbers for many years (e.g., Siegler & Opfer, 2003). However, these studies have always presented children with positive numbers and positive number lines. Children's mental representation of negative numbers has never been addressed. The present study tested children…