Central Limit Theorem Viewer

The Central Limit Theorem Viewer is a web-based application that helps users understand the idea behind the central limit theorem. The application is built with R Shiny and deployed using shinylive. Check out the live application at https://shiny.thecoatlessprofessor.com/central-limit-theorem/

With the shiny app, you can:

• Specify the population distribution
• Adjust the sample size and number of samples per draw
• Manually draw samples from the population
• Automatically draw samples from the population
• Visualize the distributions of the current sample and the sample means

Deployment

This application is deployed using shinylive, allowing it to run directly in the browser without requiring an R server. Shinylive converts the R code to WebAssembly, making it possible to run R applications entirely client-side.

Local Development Environment

1. Clone the repository:

git clone https://github.com/coatless-shiny/central-limit-theorem.git

2. Open the central-limit-theorem.Rproj

3. Install required R packages:

install.packages(c("shiny", "ggplot2", "dplyr", "tidyr", "bslib", "shinylive", "kableExtra", "DT", "moments", "scales"))

4. Run the application:

shiny::runApp()

5. Check if the application can be converted to {shinylive}:

shinylive::export(".", "_site")

Acknowledgments

• Built using the R Shiny framework
• Uses the bslib package for Bootstrap 5 theming
• Deployed using shinylive for browser-based execution