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Statistics, hands on

Interactive tools for building intuition about probability and statistics.

Statisticsinferenceinteractive

t-Test Lab

Explore one-sample, independent, and paired t-tests through interactive visualization — adjust parameters and watch the t-distribution, p-value, and confidence interval update live.

Statisticsprobabilityinteractive

Sampling Lab

Draw samples from any population and watch the Law of Large Numbers and the Central Limit Theorem emerge — running-mean convergence and the bell curve of sample means, live.

Statisticsregressioninteractive

Linear Regression

Simple linear regression you can poke — drag points and watch the least-squares line, R², the confidence band, and the slope's p-value respond.

Statisticsinferenceinteractive

Hypothesis Testing

A one-sample z-test you can steer — watch the p-value, rejection region, and Type I/II errors move as you change the effect, sample size, and α.

Statisticsprobabilityinteractive

Distribution Explorer

Eight distributions with live parameter controls — PDFs, CDFs, the formulas behind them, and the history of each.

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Guided lessons: distributions

OpenStax-aligned, step-by-step walkthroughs of the common probability distributions.

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ALSO ON THIS SITE

The Bayesian beta-binomial walkthrough — priors, likelihoods, and posterior updating — lives on the home page.

SEE BAYESIAN UPDATING →