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Bootstrap Resampling Distribution

Interactive 3D simulation of bootstrap resampling: draw samples with replacement from an original dataset, watch the bootstrap statistic distribution build up as a histogram, and see the standard error and percentile confidence interval update live.

Statistics3DModerate60 FPS

Bootstrap methods estimate the uncertainty of a statistic — a mean, a median, a regression coefficient — by resampling the observed data with replacement thousands of times instead of relying on a distributional formula. This simulation visualizes the process directly: a small original dataset sits on one platform, each bootstrap draw with replacement is highlighted live, and the resulting statistic streams into a growing histogram on the other platform whose spread becomes the bootstrap standard error and whose middle 95% becomes the percentile confidence interval. Adjust the sample size, skew, and statistic to see when the bootstrap distribution is smooth and symmetric versus chunky and skewed.

⚙ Under the hood

Interactive 3D simulation of the bootstrap: repeatedly resamples an original dataset with replacement, streams each replicate's statistic into a live histogram, and reports the resulting bootstrap standard error and percentile confidence interval.

Three.jsstatisticsresamplingconfidence-intervalsimulationdata-science

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install