We provide tools for identification and exploration of data with very large variability having power law tails. Such data describe extreme features of processes such as fire losses, flood, drought, financial gain/loss, hurricanes, population of cities, among others. Prediction and quantification of extreme events are at the forefront of the…

Curriculum prerequisite networks have a central role in shaping the course of university programs. The analysis of prerequisite networks has attracted a lot of research interest recently since designing an appropriate network is of great importance both academically and economically. It determines the learning goals of the program and also has a…

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…

As educators, we've all probably experienced presenting in new places and/or audiences, and having some sort of mishap. Therefore, as part of their professional preparation, we should prepare our students with realistic presentation practice, mishaps and all! Within this paper, I will outline a pedagogical tool that randomizes potential…

The authors describe how the Monty Hall Dilemma, a well-known choice anomaly, can be demonstrated with a simple and versatile classroom experiment. In addition to demonstrating the anomaly, the experiment can be used to introduce students to some institutional modifications that have been shown to ameliorate it. This experiment, which can be…

Most enrollment management systems today use historical data to build rough forecasts of what percentage of students will likely accept an offer of enrollment based on historical acceptance rates. While this aggregate forecast method has its uses, we propose that building an enrollment model based on predicting an individual's likelihood of…

We derive the additive property of Poisson random variables directly from the probability mass function. An important application of the additive property to quality testing of computer chips is presented.

This Study Snapshot highlights key findings where the Rhode Island Department of Education, the Rhode Island Office of the Postsecondary Commissioner, and state legislators sought evidence of the effects of state-funded programs for students to earn college credit during high school. Using data on the 2013/14 statewide grade 9 cohort, this…

This summary highlights the key findings from the report "A preliminary analysis of the outcomes of students assisted by VET FEE-HELP". VET FEE-HELP is an income-contingent loan scheme that assists eligible students undertaking certain vocational education training (VET) courses with an approved provider by paying for all or part of…

The unexpectedness of the birthday problem has long been used by teachers of statistics in discussing basic probability calculation. An activity is described that engages students in understanding probability and sampling using the popular Facebook social networking site. (Contains 2 figures and 1 table.)

This article presents four inquiry-based learning activities developed for a liberal arts math course. The activities cover four topics: the Pythagorean theorem, interest theory, optimization, and the Monty Hall problem. Each activity consists of a dialogue, with a theme and characters related to the topic, and a manipulative, that allow students…

In this international collaborative case study, American and Italian authors applied a hypothetical philanthropic case scenario to the recent graduation of the first student with nonverbal autism at the University of Central Italy in order to examine the potential impact a private donation would have on various institutional constituents. A series…

Survey sampling is fundamentally an applied field. The goal in this book is to put an array of tools at the fingertips of practitioners by explaining approaches long used by survey statisticians, illustrating how existing software can be used to solve survey problems, and developing some specialized software where needed. This book serves at least…

Using a data set that augments a student survey with administrative data from the Iowa State University Office of Financial Aid, the authors posed two questions: Do students know whether they have student loans? Do students know how much they owe on outstanding student loans? We used logistic and ordered logit regressions to answer these…

In 2006, Marcus du Sautoy delivered the Royal Institution Christmas Lectures on the subject of mathematics. From this, a workshop was created using ideas illustrated in the programme. A group of mathematical students from the University of Oxford, known as Marcus' Marvellous Mathemagicians, were trained in this workshop and now travel to schools…