Bootstrap Resampling — Confidence Intervals Simulator

🔁 Bootstrap

The bootstrap estimates any statistic's sampling distribution by resampling with replacement from the observed data — no parametric assumptions required.

🎛 Parameters

Population distribution Sample size n 30 Bootstrap resamples B 1000 Confidence level 95% Statistic

📐 Results

Observed θ̂

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Bootstrap SE

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CI lower

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CI upper

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ℹ️ Method

Percentile bootstrap: compute θ̂* for each of B resamples; the α/2 and 1−α/2 quantiles of {θ̂*} form the CI.

Why it works: the bootstrap distribution of (θ̂* − θ̂) mimics the true distribution of (θ̂ − θ). Works for virtually any statistic — mean, median, correlation, regression coefficients.