Statistics Quest

Resampling and Statistical Reasoning skill check

A timed check of bootstrap and permutation inference, Monte Carlo error, robust statistics, missing data, sensitivity analysis, Simpson's paradox, selection bias, multiple testing and honest, reproducible reporting.

Questions
12
Time
30 min
Pass mark
70%
Retake after
6 h

Skills covered

Estimate a standard error by bootstrapping · Build and interpret bootstrap intervals · Recognise when the bootstrap fails · Explain the logic of a permutation test · Compute exact and Monte Carlo permutation p-values · Choose a permutation scheme that matches the design · Estimate probabilities and check methods by simulation · Quantify Monte Carlo error · Design and report a reproducible simulation · Compute robust measures of centre and spread · Reason about breakdown points and resistance · Decide how to treat extreme values · Classify missing-data mechanisms · Explain complete-case bias · Recognise the limits of simple imputation · Vary defensible analysis choices · Find the tipping point of an assumption · Judge whether a conclusion is robust · Compute stratified and standardised rates · Explain Simpson's paradox through confounding · Choose which variables to adjust for · Recognise and quantify survivorship bias · Identify forms of selection bias · Explain spurious associations created by selection · Control false positives across many tests · Recognise p-hacking and forking paths · Explain publication bias and effect inflation · Make an analysis reproducible · Report results honestly and in proportion · Protect respondents' privacy in data releases

Covers Track 13: Resampling and Statistical Reasoning. Passing it, together with completing every lesson, earns the track certificate.

How it works

  • Questions are drawn from this assessment's own bank, with numbers generated for your attempt.
  • Your answers save automatically. Nothing is graded until you submit or the time runs out (the server keeps the time).
  • No hints or feedback during the attempt; full worked solutions afterwards.
  • You may use a calculator, the lab and your notes. The assessment is not proctored.