# statistics
Statistics is how you draw reliable conclusions from noisy, incomplete data, and this is the site's broadest collection of tools for practicing it — 15 simulations covering everything from raw randomness to formal inference. Fit a line the proper way in Linear Regression — OLS Least Squares, run a real Hypothesis Testing — t-test & p-value workflow, or reduce a dataset's dimensions in PCA — Principal Component Analysis. Bootstrap Resampling — Confidence Intervals shows how you can estimate uncertainty without any formula at all, just resampling, while Bayesian Inference — Prior, Likelihood & Posterior and Bayesian Updating cover the competing Bayesian approach. For pure intuition-building there's Random Walk, Benford's Law and Regression to the Mean — three results that look almost magical until you watch the simulation generate them from nothing but chance.
Found: 15 simulations · 0 articles
🧪 Simulations (15)
📊 Facts
How many statistics simulations are here?
15 simulations — this site's largest statistics-focused tag, spanning descriptive stats, inference and applied data-analysis techniques.
What covers inferential statistics specifically?
Hypothesis Testing — t-test & p-value, Student's t-Test and Bootstrap Resampling — Confidence Intervals all deal with drawing conclusions from sample data.
Is there anything for data science / machine learning basics?
PCA — Principal Component Analysis and Linear Regression — OLS Least Squares are the two classic data-analysis techniques included here.
Which sim is the best demonstration of "law of large numbers" style intuition?
Galton Board — balls falling through pegs settle into a normal distribution purely from repeated random chance, no formula needed.
Looking for more? Dive into the full library of 1000+ interactive, browser-based simulations, or browse every topic.