Probability Distribution Simulator

A detailed view of the project

Overview

The Probability Distribution Simulator is an interactive Shiny app designed to help users explore and visualize three key probability distributions: Normal, Uniform, and Binomial. It provides an engaging way to understand statistical concepts by allowing users to modify distribution parameters and see real-time updates in graphical representations.

This project highlights expertise in interactive application development, data visualization, and statistical computing. With real-time feedback and user-friendly controls, the Probability Distribution Simulator serves as a valuable tool for students, researchers, and professionals in the field of statistics.

Description

Technologies Used:

  • Programming Languages: R
  • Frameworks/Libraries: Shiny, ggplot2
  • Interactivity: Shiny's reactive framework for real-time updates
  • Data Visualization: Histogram plots using ggplot2
  • Error Handling: Input validation for user-friendly interactions

Key Features:

  • Multiple Probability Distributions:

    Users can explore Normal, Uniform, and Binomial distributions to study their statistical properties and visualize probability behavior.

  • Interactive Parameter Adjustments:

    With sliders and dropdown menus, users can dynamically modify parameters like mean, standard deviation, range, and probability of success.

  • Real-Time Histogram Visualization:

    Changes to parameters are instantly reflected in a histogram, offering immediate feedback for better statistical understanding.

  • User-Friendly Error Handling:

    The app includes validation checks to prevent invalid inputs, ensuring a smooth and error-free experience.

  • Responsive Web Interface:

    Built using Shiny, the application provides a clean and intuitive user experience, accessible on various devices.

  • Scalability and Extensibility:

    Designed to incorporate additional probability distributions and features like cumulative distribution functions and statistical summaries.

This project showcases proficiency in statistical computing, interactive UI development, and real-time data visualization, making it a strong addition to my portfolio.

Live Demo: Try the Probability Distribution Simulator

Project Files

  • ProbabilitySimulator
      • app.R
      • rsconnect
          • shinyapps.io
              • pranavzagade
                  • probabilitysimulator.dcf