Statistics Concepts

Interactive Demonstrations of Key Statistical Principles

Welcome to Statistics Concepts

This website provides interactive demonstrations and explanations of fundamental statistical concepts. Each page contains hands-on examples with R code that you can run and modify to deepen your understanding.

Available Topics

Central Limit Theorem

Understanding how sampling distributions approach normality regardless of the original distribution’s shape.

Key Learning Objectives: - Visualize the transformation from skewed to normal distributions - Explore the effect of sample size on sampling distributions - Understand the mathematical foundation of the CLT

Analysis and Discussion of Papers

This section provides analysis and discussion of various papers.

Coming Soon…

  • Confidence Intervals: Understanding uncertainty in parameter estimation
  • Hypothesis Testing: The logic of statistical significance
  • Regression Analysis: Modeling relationships between variables
  • Probability Distributions: Common distributions and their properties

How to Use This Site

  1. Read the Introduction: Each concept page starts with an overview
  2. Run the Code: Execute the R code blocks to see the demonstrations
  3. Experiment: Modify parameters to see how they affect the results
  4. Understand the Math: Review the mathematical foundations provided

Technical Requirements

  • R (version 4.0 or higher)
  • Required packages will be automatically installed when you run the code
  • A modern web browser to view the rendered HTML

Getting Started

Click on any topic above to begin exploring statistical concepts through interactive demonstrations!