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Stats Interactives

Partner:
Doru Cojoc, Lecturer in Discipline, School of International and Public Affairs

Quantitative analysis is a core skill for International and Public Affairs students. Learners must grasp highly theoretical concepts and draw critical inferences from data. Inadequate mathematical training often complicates teaching outcomes.

Stats Interactives is a set of four simulations designed to ease and amplify student understanding of abstract statistical and econometrics concepts. The simulations were developed in 2018 for Professor Doru Cojoc’s Quantitative Analysis course, offered at the School of International and Public Affairs.

The Quantitative Analysis course is unique in bringing together students of different academic backgrounds, many of whom do not have extensive quantitative training. The diversity in student experience had complicated learning outcomes. Over the years, Professor Cojoc found that supplementing traditional lectures and textbook readings with interactive graphs and simulations greatly boosted understanding. In 2018, Professor Cojoc was awarded a Provost’s Teaching and Learning Grant to build a set of open-source simulations that students could use to prepare for in-class exercises and reinforce readings and concepts presented in class.

The CTL worked closely with Cojoc to build four intuitive, interactive graphs that were freely available online. The graphs allow students to independently “play” with the Central Limit Theorem, a Linear Regression Model, a Least Squares Estimation, and a Sampling Distribution of Regression Coefficients. The goal is to facilitate students’ ability to visualize complex theoretical results and to teach them to draw critical inferences from various data. The simulations are designed to demonstrate more complex concepts as the students’ knowledge progresses during the semester.

The simulations were put to the test during the Fall 2019 semester through a quantitative and qualitative study of student engagement with the simulations. The assessment found students used the simulations for a “protracted” amount of time and found them easy to use. In addition, engagement with the simulations resulted in an improved overall confidence with the material.

Gallery

Gallery image: The Central Limit Theorem establishes that, under some conditions, the mean of a sample drawn from a population follows a normal sampling distribution, even when the distribution of the population itself is not normally distributed. In this simulation, students can generate their own populations by specifying a seed, mean and standard deviation, and selecting a distribution type. They can also select the sample size and number of samples.
Gallery image: The Linear Regression Model interactive asks students, “How do cigarette sales taxes affect the average weekly number of cigarettes consumed by a smoker?” Students can then modify the tax rate to understand how the tax impacts cigarette prices, sales and cigarette usage.

Partner

Headshot photo of Doru Cojoc
Doru Cojoc
Lecturer in the Discipline of International and Public Affairs
School of International and Public Affairs