Simulation-Based InferenceStatLens

Bootstrap confidence intervals and randomization hypothesis tests.

Confidence Intervals (Bootstrap)

CI for a Mean
Bootstrap a single mean, median, or standard deviation.
CI for a Proportion
Bootstrap a single proportion.
CI for Difference in Means
Bootstrap the difference between two group means.
CI for Paired Differences
Bootstrap mean difference from matched pairs.
CI for Difference in Proportions
Bootstrap the difference between two group proportions.
CI for Regression Slope
Resample (x, y) pairs and refit lines.

Test for a Mean
Shifted bootstrap test under H₀: μ = μ₀.
Test for a Proportion
Simulate under H₀: p = p₀.
Test for Difference in Means
Permutation test for two group means.
Test for Difference in Proportions
Shuffle group labels to test two proportions.
Test for Paired Differences
Sign-flip test under H₀: μ_d = 0.
Chi-Square Test
Randomization test for a contingency table.
Chi-Square Goodness-of-Fit
Draw samples under H₀ to test whether one categorical variable fits a specified distribution.
Test for Correlation
Shuffle y-values to test H₀: ρ = 0.
ANOVA Test
Shuffle group labels to test equality of means across 3+ groups.