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Statistics Fundamentals · section 7 of 15

Non-parametric tests

1 interview question on non-parametric tests, each answered in full. Free to read, no account needed.

How many bootstrap resamples do you need, and which statistics does it handle?

medium
  • Given data X1X_{1},...,XnX_{n}, sample n observations with replacement to form X*, compute the statistic θ̂*, repeat B ≈ 1000-10000 times to build an empirical distribution of θ̂.
  • Use it to compute SEs, CIs, and bias.
  • Works for any statistic (median,  quantiles,  R2,  ratios)(\mathrm{median}, \;\mathrm{quantiles}, \;R^{2}, \;\mathrm{ratios}), no distributional assumption.
  • Weaknesses: bad for extreme statistics (max), heavy tails, small n, and violated i.i.d.
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