This page features a collection of interactive Shiny applications designed to illustrate key concepts in Statistics and Data Science. Each app provides hands-on exploration of important statistical ideas, such as sample standard deviation, the Law of Large Numbers, confidence intervals, the t-distribution, and more. All applications are open-source, and their source code is available on GitHub. These tools are suitable for university students, teachers, and even high school learners seeking to strengthen their understanding of statistical reasoning and data analysis. Explore the dashboards to investigate patterns, test hypotheses, and gain insights from real data!
Sample Standard Deviation
Have you ever wondered why, when calculating the sample standard deviation, we divide by n – 1 instead of n as in the population standard deviation?
Law of Large Numbers
What happens to the mean of a sample as its size increases? Follow the link below to investigate!
Central Limit Theorem Demonstration
Explore the characteristics of the distribution of sample proportions and means from random samples, and discover the pattern!
Confidence Interval Coverage
What is the meaning of 90%, 95%, and 99% confidence levels? Find the answer by exploring this Shiny app!
Why the t-Distribution?
Explore this interactive app to discover the need for the t-distribution!
Robustness and Power of t and Welch’s Tests
There are at least two types of t-tests for two samples—one that assumes homogeneity of variances and one that does not. Compare the robustness and power of these two types of t-tests!
Indonesia in PISA 2022
How do Indonesian students’ mathematics, reading, and science literacy compare with those of other countries? What about their mindsets? Has education in Indonesia become equitable and fair? Explore and dive into the results of PISA 2022 for Indonesia!
Video Analytics
How can data from YouTube videos provide insights into viewer behavior? This dashboard can be used to explore statistics on how audiences interact with mathematics learning videos on YouTube.
Bibliometric Analysis
Want to find out which researchers are the most productive and relevant in mathematics education? Or explore research trends in mathematics education? Or see the social networks among researchers? Explore the mathematics education literature through this interactive dashboard!
Exploring Raja Ampat
It’s no secret that the Raja Ampat Islands hold stunning beauty and rich biodiversity. Investigate and model its biodiversity using mathematical models!
Modeling with Polynomial Functions
How can polynomial functions be used to model problems in the food, tourism, economic, and music sectors?