This paper describes an investigation looking at the underlying mathematics of poker machines. The aim of the investigation is for students to get an appreciation of how poker machines are designed to ensure that in the long-term players will inevitably lose when playing. The first part of this paper describes how students can model a simple poker…

An Angoff standard setting study generally yields judgments on a number of items by a number of judges (who may or may not be nested in panels). Variability associated with judges (and possibly panels) contributes error to the resulting cut score. The variability associated with items plays a more complicated role. To the extent that the mean item…

Various solving strategies in probability of events could complicate the students in choosing the best strategy in problem solutions. This research was carried out to identify the favourite solving strategies used by college students to solve probability and event problems. As a preliminary of a case study, only three students were selected as…

Objective: This study examines the prospective relationship between substance use during college and two outcomes: having definite plans to attend graduate school; and, among individuals with plans, enrolling in graduate school upon college graduation. Participants: n = 980 were originally enrolled as first-time, first-year college students in an…

University students and faculty members need an effective strategy to evaluate and reduce the probability that an individual will become infected with COVID-19 as a result of classroom interactions. Models are developed here that consider the probability an individual will become infected as a function of: prevalence of the disease in the…

This article considers how a handicapping system should be devised for squash. It looks at the American scoring system, and whether it is possible to have a fair system of handicapping. We consider "fair" from a perspective of expected number of rallies won and probability of winning.

This study explores how student employment affects college persistence and how these effects differ by individual likelihood of participating in student employment. I analyze data from the National Longitudinal Survey of Youth 1997 using propensity score matching and stratification-multilevel analysis. This study finds that engaging in intense…

This paper explores the use of irony in narratives that focus on the problem of knowing what we do not know. Sometimes issues arise on a grand scale, as in the literature of Socrates, Pascal, and Descartes, where the question really is whether we can know anything at all or whether all that we can know is that there is nothing worth knowing that…

A key part of determining cut-scores when performing Angoff standard setting is utilizing equating methods to place standard-setting ratings onto the scale used to report scores to examinees. This article describes three equating methods that can be employed to place Angoff ratings onto the scale used to report scores to examinees when applying…

This research study provides an examination of the relatively new fields of Data Analytics and Data Science. We compare word rates in Data Analytics and Data Science documents to determine which concepts are mentioned most often. The most frequent concept in both fields is "data." The word rate for "data" is more than twice the…

Case-mix heterogeneity across studies complicates meta-analyses. As a result of this, treatments that are equally effective on patient subgroups may appear to have different effectiveness on patient populations with different case mix. It is therefore important that meta-analyses be explicit for what patient population they describe the treatment…

Quantum mechanics is a notoriously counterintuitive subject within physics and has been the subject of a number of studies at the undergraduate level, and a few pioneering studies at the graduate level. The sketching of wave functions in a confining well is in one sense one of the most basic activities in quantum mechanics. But in another sense,…

In the paper a software solution is presented for the generation of instances of exercises. The focus is on education in mathematics but the approach can be adopted in other fields such as computer science and natural science. The present solution uses the R environment for the generation process and LaTeX for the content presentation. In the…

The Maxwell distribution of speeds, f(v), is the starting point for the calculation of the transport coefficients in kinetic-molecular theory. Most physical chemistry textbooks follow a path to derive f(v) similar to that used by Maxwell, which makes it difficult for students to understand its relationship with the equilibrium state of the system,…

Most literature related to Benford's Law discusses what the law can be used for and how it works but fails to address effective methods and procedures for teaching the law to students. This article examines existing information resources to determine the most effective methods and procedures used to explain this Law to those who have no experience…