Bootstrap Sampling
How bootstrap resampling produces a CI for a statistic.
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flowchart TD
S[Original sample\nn = N] --> R{Repeat B times}
R -->|draw with replacement\nn = N| B1[Bootstrap sample 1]
R -->|draw with replacement\nn = N| B2[Bootstrap sample 2]
R -->|draw with replacement\nn = N| Bk[Bootstrap sample B]
B1 --> T1[Compute statistic θ̂*]
B2 --> T2[θ̂*]
Bk --> Tk[θ̂*]
T1 --> Dist[Bootstrap distribution]
T2 --> Dist
Tk --> Dist
Dist --> CI[95% CI:\nquantiles 2.5 / 97.5]
Dist --> SE["SE = sd(θ̂*)"]